---
_id: '4087'
abstract:
- lang: eng
  text: This paper offers combinatorial results on extremum problems concerning the
    number of tetrahedra in a tetrahedrization of n points in general position in
    three dimensions, i.e. such that no four points are coplanar. It also presents
    an algorithm that in O(nlog n) time constructs a tetrahedrization of a set of
    n points consisting of at most 3n–11 tetrahedra.
acknowledgement: Research of the first author is supported by Amoco Fnd. Fac. Dev.
  Comput. Sci. 1-6-44862, the second author is supported by NSF Grant ECS 84-10902,
  and research of the third author is supported in part by ONR Grant N00014-85K0570
  and by NSF Grant DMS 8504
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Franco
  full_name: Preparata, Franco
  last_name: Preparata
- first_name: Douglas
  full_name: West, Douglas
  last_name: West
citation:
  ama: 'Edelsbrunner H, Preparata F, West D. Tetrahedrizing point sets in three dimensions.
    In: <i> International Symposium on Symbolic and Algebraic Computation</i>. Vol
    358. Springer; 1989:315-331. doi:<a href="https://doi.org/10.1007/3-540-51084-2_31">10.1007/3-540-51084-2_31</a>'
  apa: 'Edelsbrunner, H., Preparata, F., &#38; West, D. (1989). Tetrahedrizing point
    sets in three dimensions. In <i> International Symposium on Symbolic and Algebraic
    Computation</i> (Vol. 358, pp. 315–331). Rome, Italy: Springer. <a href="https://doi.org/10.1007/3-540-51084-2_31">https://doi.org/10.1007/3-540-51084-2_31</a>'
  chicago: Edelsbrunner, Herbert, Franco Preparata, and Douglas West. “Tetrahedrizing
    Point Sets in Three Dimensions.” In <i> International Symposium on Symbolic and
    Algebraic Computation</i>, 358:315–31. Springer, 1989. <a href="https://doi.org/10.1007/3-540-51084-2_31">https://doi.org/10.1007/3-540-51084-2_31</a>.
  ieee: H. Edelsbrunner, F. Preparata, and D. West, “Tetrahedrizing point sets in
    three dimensions,” in <i> International Symposium on Symbolic and Algebraic Computation</i>,
    Rome, Italy, 1989, vol. 358, pp. 315–331.
  ista: 'Edelsbrunner H, Preparata F, West D. 1989. Tetrahedrizing point sets in three
    dimensions.  International Symposium on Symbolic and Algebraic Computation. ISSAC:
    International Symposium on Symbolic and Algebraic Computation, LNCS, vol. 358,
    315–331.'
  mla: Edelsbrunner, Herbert, et al. “Tetrahedrizing Point Sets in Three Dimensions.”
    <i> International Symposium on Symbolic and Algebraic Computation</i>, vol. 358,
    Springer, 1989, pp. 315–31, doi:<a href="https://doi.org/10.1007/3-540-51084-2_31">10.1007/3-540-51084-2_31</a>.
  short: H. Edelsbrunner, F. Preparata, D. West, in:,  International Symposium on
    Symbolic and Algebraic Computation, Springer, 1989, pp. 315–331.
conference:
  end_date: 1988-07-08
  location: Rome, Italy
  name: 'ISSAC: International Symposium on Symbolic and Algebraic Computation'
  start_date: 1988-07-04
date_created: 2018-12-11T12:06:52Z
date_published: 1989-09-20T00:00:00Z
date_updated: 2022-02-10T13:27:41Z
day: '20'
doi: 10.1007/3-540-51084-2_31
extern: '1'
intvolume: '       358'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/chapter/10.1007/3-540-51084-2_31
month: '09'
oa_version: None
page: 315 - 331
publication: ' International Symposium on Symbolic and Algebraic Computation'
publication_status: published
publisher: Springer
publist_id: '2035'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Tetrahedrizing point sets in three dimensions
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 358
year: '1989'
...
---
_id: '4088'
abstract:
- lang: eng
  text: 'Anarrangement ofn lines (or line segments) in the plane is the partition
    of the plane defined by these objects. Such an arrangement consists ofO(n 2) regions,
    calledfaces. In this paper we study the problem of calculating and storing arrangementsimplicitly,
    using subquadratic space and preprocessing, so that, given any query pointp, we
    can calculate efficiently the face containingp. First, we consider the case of
    lines and show that with (n) space1 and (n 3/2) preprocessing time, we can answer
    face queries in (n)+O(K) time, whereK is the output size. (The query time is achieved
    with high probability.) In the process, we solve three interesting subproblems:
    (1) given a set ofn points, find a straight-edge spanning tree of these points
    such that any line intersects only a few edges of the tree, (2) given a simple
    polygonal path , form a data structure from which we can find the convex hull
    of any subpath of quickly, and (3) given a set of points, organize them so that
    the convex hull of their subset lying above a query line can be found quickly.
    Second, using random sampling, we give a tradeoff between increasing space and
    decreasing query time. Third, we extend our structure to report faces in an arrangement
    of line segments in (n 1/3)+O(K) time, given(n 4/3) space and (n 5/3) preprocessing
    time. Lastly, we note that our techniques allow us to computem faces in an arrangement
    ofn lines in time (m 2/3 n 2/3+n), which is nearly optimal.'
acknowledgement: The first author is pleased to acknowledge the support of Amoco Fnd.
  Fac. Dev. Comput. Sci. 1-6-44862 and National Science Foundation Grant CCR-8714565.
  Work on this paper by the fifth author has been supported by Office of Naval Research
  Grant N00014-87-K-0129, by National Science Foundation Grant NSF-DCR-83-20085, by
  grants from the Digital Equipment Corporation, and the IBM Corporation, and by a
  research grant from the NCRD—the Israeli National Council for Research and Development.
  The sixth author was supported in part by a National Science Foundation Graduate
  Fellowship. This work was begun while the non-DEC authors were visiting at the DEC
  Systems Research Center.
article_processing_charge: No
article_type: original
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Leonidas
  full_name: Guibas, Leonidas
  last_name: Guibas
- first_name: John
  full_name: Hershberger, John
  last_name: Hershberger
- first_name: Raimund
  full_name: Seidel, Raimund
  last_name: Seidel
- first_name: Micha
  full_name: Sharir, Micha
  last_name: Sharir
- first_name: Jack
  full_name: Snoeyink, Jack
  last_name: Snoeyink
- first_name: Emo
  full_name: Welzl, Emo
  last_name: Welzl
citation:
  ama: Edelsbrunner H, Guibas L, Hershberger J, et al. Implicitly representing arrangements
    of lines or segments. <i>Discrete &#38; Computational Geometry</i>. 1989;4(1):433-466.
    doi:<a href="https://doi.org/10.1007/BF02187742">10.1007/BF02187742</a>
  apa: Edelsbrunner, H., Guibas, L., Hershberger, J., Seidel, R., Sharir, M., Snoeyink,
    J., &#38; Welzl, E. (1989). Implicitly representing arrangements of lines or segments.
    <i>Discrete &#38; Computational Geometry</i>. Springer. <a href="https://doi.org/10.1007/BF02187742">https://doi.org/10.1007/BF02187742</a>
  chicago: Edelsbrunner, Herbert, Leonidas Guibas, John Hershberger, Raimund Seidel,
    Micha Sharir, Jack Snoeyink, and Emo Welzl. “Implicitly Representing Arrangements
    of Lines or Segments.” <i>Discrete &#38; Computational Geometry</i>. Springer,
    1989. <a href="https://doi.org/10.1007/BF02187742">https://doi.org/10.1007/BF02187742</a>.
  ieee: H. Edelsbrunner <i>et al.</i>, “Implicitly representing arrangements of lines
    or segments,” <i>Discrete &#38; Computational Geometry</i>, vol. 4, no. 1. Springer,
    pp. 433–466, 1989.
  ista: Edelsbrunner H, Guibas L, Hershberger J, Seidel R, Sharir M, Snoeyink J, Welzl
    E. 1989. Implicitly representing arrangements of lines or segments. Discrete &#38;
    Computational Geometry. 4(1), 433–466.
  mla: Edelsbrunner, Herbert, et al. “Implicitly Representing Arrangements of Lines
    or Segments.” <i>Discrete &#38; Computational Geometry</i>, vol. 4, no. 1, Springer,
    1989, pp. 433–66, doi:<a href="https://doi.org/10.1007/BF02187742">10.1007/BF02187742</a>.
  short: H. Edelsbrunner, L. Guibas, J. Hershberger, R. Seidel, M. Sharir, J. Snoeyink,
    E. Welzl, Discrete &#38; Computational Geometry 4 (1989) 433–466.
date_created: 2018-12-11T12:06:52Z
date_published: 1989-12-01T00:00:00Z
date_updated: 2022-02-10T15:03:48Z
day: '01'
doi: 10.1007/BF02187742
extern: '1'
intvolume: '         4'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://link.springer.com/article/10.1007/BF02187742
month: '12'
oa: 1
oa_version: Published Version
page: 433 - 466
publication: Discrete & Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer
publist_id: '2036'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Implicitly representing arrangements of lines or segments
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 4
year: '1989'
...
---
_id: '4089'
abstract:
- lang: eng
  text: Motivated by a number of motion-planning questions, we investigate in this
    paper some general topological and combinatorial properties of the boundary of
    the union ofn regions bounded by Jordan curves in the plane. We show that, under
    some fairly weak conditions, a simply connected surface can be constructed that
    exactly covers this union and whose boundary has combinatorial complexity that
    is nearly linear, even though the covered region can have quadratic complexity.
    In the case where our regions are delimited by Jordan acrs in the upper halfplane
    starting and ending on thex-axis such that any pair of arcs intersect in at most
    three points, we prove that the total number of subarcs that appear on the boundary
    of the union is only (n(n)), where(n) is the extremely slowly growing functional
    inverse of Ackermann's function.
acknowledgement: The first author is pleased to acknowledge the support of Amoco Fnd.
  Fac. Dev. Comput. Sci. 1-6-44862 and National Science Foundation Grant CCR-8714565.
  Work on this paper by the fourth and seventh authors has been supported by Office
  of Naval Research Grant N00014-87-K-0129, by National Science Foundation Grant NSF-DCR-83-20085,
  and by grants from the Digital Equipment Corporation and the IBM Corporation. The
  seventh author in addition wishes to acknowledge support by a research grant from
  the NCRD—the Israeli National Council for Research and Development. The fifth author
  would like to acknowledge support in part by NSF grant DMS-8501947. Finally, the
  eighth author was supported in part by a National Science Foundation Graduate Fellowship.
article_processing_charge: No
article_type: original
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Leonidas
  full_name: Guibas, Leonidas
  last_name: Guibas
- first_name: John
  full_name: Hershberger, John
  last_name: Hershberger
- first_name: János
  full_name: Pach, János
  last_name: Pach
- first_name: Richard
  full_name: Pollack, Richard
  last_name: Pollack
- first_name: Raimund
  full_name: Seidel, Raimund
  last_name: Seidel
- first_name: Micha
  full_name: Sharir, Micha
  last_name: Sharir
- first_name: Jack
  full_name: Snoeyink, Jack
  last_name: Snoeyink
citation:
  ama: Edelsbrunner H, Guibas L, Hershberger J, et al. On arrangements of Jordan arcs
    with three intersections per pair. <i>Discrete &#38; Computational Geometry</i>.
    1989;4(1):523-539. doi:<a href="https://doi.org/10.1007/BF02187745">10.1007/BF02187745</a>
  apa: Edelsbrunner, H., Guibas, L., Hershberger, J., Pach, J., Pollack, R., Seidel,
    R., … Snoeyink, J. (1989). On arrangements of Jordan arcs with three intersections
    per pair. <i>Discrete &#38; Computational Geometry</i>. Springer. <a href="https://doi.org/10.1007/BF02187745">https://doi.org/10.1007/BF02187745</a>
  chicago: Edelsbrunner, Herbert, Leonidas Guibas, John Hershberger, János Pach, Richard
    Pollack, Raimund Seidel, Micha Sharir, and Jack Snoeyink. “On Arrangements of
    Jordan Arcs with Three Intersections per Pair.” <i>Discrete &#38; Computational
    Geometry</i>. Springer, 1989. <a href="https://doi.org/10.1007/BF02187745">https://doi.org/10.1007/BF02187745</a>.
  ieee: H. Edelsbrunner <i>et al.</i>, “On arrangements of Jordan arcs with three
    intersections per pair,” <i>Discrete &#38; Computational Geometry</i>, vol. 4,
    no. 1. Springer, pp. 523–539, 1989.
  ista: Edelsbrunner H, Guibas L, Hershberger J, Pach J, Pollack R, Seidel R, Sharir
    M, Snoeyink J. 1989. On arrangements of Jordan arcs with three intersections per
    pair. Discrete &#38; Computational Geometry. 4(1), 523–539.
  mla: Edelsbrunner, Herbert, et al. “On Arrangements of Jordan Arcs with Three Intersections
    per Pair.” <i>Discrete &#38; Computational Geometry</i>, vol. 4, no. 1, Springer,
    1989, pp. 523–39, doi:<a href="https://doi.org/10.1007/BF02187745">10.1007/BF02187745</a>.
  short: H. Edelsbrunner, L. Guibas, J. Hershberger, J. Pach, R. Pollack, R. Seidel,
    M. Sharir, J. Snoeyink, Discrete &#38; Computational Geometry 4 (1989) 523–539.
date_created: 2018-12-11T12:06:52Z
date_published: 1989-12-01T00:00:00Z
date_updated: 2022-02-10T15:40:04Z
day: '01'
doi: 10.1007/BF02187745
extern: '1'
intvolume: '         4'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://link.springer.com/article/10.1007/BF02187745
month: '12'
oa: 1
oa_version: Published Version
page: 523 - 539
publication: Discrete & Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer
publist_id: '2037'
quality_controlled: '1'
scopus_import: '1'
status: public
title: On arrangements of Jordan arcs with three intersections per pair
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 4
year: '1989'
...
---
_id: '4092'
acknowledgement: 'The support of the Digital Systems Research center and the Digital
  Paris Research laboratory, where much of this research was carried out, are gratefully
  acknowledged. Work on this paper by Bernard Chazelle has been supported by NSF Grant
  CCI~-87-00917. Work on this paper by Herbert Edelsbrunner has been supported by
  NSF Grant CCR-87-14565. Work on this paper by Micha Sharir has been supported by
  ONR Grant N00014-87-K-0129, by NSF Grant DCP~-83-20085, and by grants from the U.S.-Israeli
  Binational Science Foundation, the NCRD - the Israeli National Council for Research
  and Development, and the EMET Fund of the Israeli Academy of Sciences. '
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Bernard
  full_name: Chazelle, Bernard
  last_name: Chazelle
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Leonidas
  full_name: Guibas, Leonidas
  last_name: Guibas
- first_name: Micha
  full_name: Sharir, Micha
  last_name: Sharir
citation:
  ama: 'Chazelle B, Edelsbrunner H, Guibas L, Sharir M. A singly exponential stratification
    scheme for real semi-algebraic varieties and its applications. In: <i>16th International
    Colloquium on Automata, Languages, and Programming</i>. Vol 372. Springer; 1989:179-193.
    doi:<a href="https://doi.org/10.1007/BFb0035760">10.1007/BFb0035760</a>'
  apa: 'Chazelle, B., Edelsbrunner, H., Guibas, L., &#38; Sharir, M. (1989). A singly
    exponential stratification scheme for real semi-algebraic varieties and its applications.
    In <i>16th International Colloquium on Automata, Languages, and Programming</i>
    (Vol. 372, pp. 179–193). Stresa, Italy: Springer. <a href="https://doi.org/10.1007/BFb0035760">https://doi.org/10.1007/BFb0035760</a>'
  chicago: Chazelle, Bernard, Herbert Edelsbrunner, Leonidas Guibas, and Micha Sharir.
    “A Singly Exponential Stratification Scheme for Real Semi-Algebraic Varieties
    and Its Applications.” In <i>16th International Colloquium on Automata, Languages,
    and Programming</i>, 372:179–93. Springer, 1989. <a href="https://doi.org/10.1007/BFb0035760">https://doi.org/10.1007/BFb0035760</a>.
  ieee: B. Chazelle, H. Edelsbrunner, L. Guibas, and M. Sharir, “A singly exponential
    stratification scheme for real semi-algebraic varieties and its applications,”
    in <i>16th International Colloquium on Automata, Languages, and Programming</i>,
    Stresa, Italy, 1989, vol. 372, pp. 179–193.
  ista: 'Chazelle B, Edelsbrunner H, Guibas L, Sharir M. 1989. A singly exponential
    stratification scheme for real semi-algebraic varieties and its applications.
    16th International Colloquium on Automata, Languages, and Programming. ICALP:
    International Colloquium on Automata, Languages, and Programming, LNCS, vol. 372,
    179–193.'
  mla: Chazelle, Bernard, et al. “A Singly Exponential Stratification Scheme for Real
    Semi-Algebraic Varieties and Its Applications.” <i>16th International Colloquium
    on Automata, Languages, and Programming</i>, vol. 372, Springer, 1989, pp. 179–93,
    doi:<a href="https://doi.org/10.1007/BFb0035760">10.1007/BFb0035760</a>.
  short: B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, in:, 16th International
    Colloquium on Automata, Languages, and Programming, Springer, 1989, pp. 179–193.
conference:
  end_date: 1989-07-15
  location: Stresa, Italy
  name: 'ICALP: International Colloquium on Automata, Languages, and Programming'
  start_date: 1989-07-11
date_created: 2018-12-11T12:06:53Z
date_published: 1989-07-24T00:00:00Z
date_updated: 2022-02-10T10:06:23Z
day: '24'
doi: 10.1007/BFb0035760
extern: '1'
intvolume: '       372'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/chapter/10.1007/BFb0035760
month: '07'
oa_version: None
page: 179 - 193
publication: 16th International Colloquium on Automata, Languages, and Programming
publication_status: published
publisher: Springer
publist_id: '2031'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A singly exponential stratification scheme for real semi-algebraic varieties
  and its applications
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 372
year: '1989'
...
---
_id: '4093'
abstract:
- lang: eng
  text: This paper investigates the combinatorial and computational aspects of certain
    extremal geometric problems in two and three dimensions. Specifically, we examine
    the problem of intersecting a convex subdivision with a line in order to maximize
    the number of intersections. A similar problem is to maximize the number of intersected
    facets in a cross-section of a three-dimensional convex polytope. Related problems
    concern maximum chains in certain families of posets defined over the regions
    of a convex subdivision. In most cases we are able to prove sharp bounds on the
    asymptotic behavior of the corresponding extremal functions. We also describe
    polynomial algorithms for all the problems discussed.
acknowledgement: "Bernard Chazelle wishes to acknowledge the National Science Foundation
  for supporting this research in part under Grant No. MCS83-03925. Herbert Edelsbrunner
  is pleased to acknowledge the support of Amoco Fnd. Fac. Dev. Comput. Sci. 1-6-44862.
  We wish to thank J. Pach and E. Szemeredi for valuable discussions on several\r\nof
  the problems studied in this paper."
article_processing_charge: No
author:
- first_name: Bernard
  full_name: Chazelle, Bernard
  last_name: Chazelle
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Leonidas
  full_name: Guibas, Leonidas
  last_name: Guibas
citation:
  ama: Chazelle B, Edelsbrunner H, Guibas L. The complexity of cutting complexes.
    <i>Discrete &#38; Computational Geometry</i>. 1989;4(1):139-181. doi:<a href="https://doi.org/10.1007/BF02187720">10.1007/BF02187720</a>
  apa: Chazelle, B., Edelsbrunner, H., &#38; Guibas, L. (1989). The complexity of
    cutting complexes. <i>Discrete &#38; Computational Geometry</i>. Springer. <a
    href="https://doi.org/10.1007/BF02187720">https://doi.org/10.1007/BF02187720</a>
  chicago: Chazelle, Bernard, Herbert Edelsbrunner, and Leonidas Guibas. “The Complexity
    of Cutting Complexes.” <i>Discrete &#38; Computational Geometry</i>. Springer,
    1989. <a href="https://doi.org/10.1007/BF02187720">https://doi.org/10.1007/BF02187720</a>.
  ieee: B. Chazelle, H. Edelsbrunner, and L. Guibas, “The complexity of cutting complexes,”
    <i>Discrete &#38; Computational Geometry</i>, vol. 4, no. 1. Springer, pp. 139–181,
    1989.
  ista: Chazelle B, Edelsbrunner H, Guibas L. 1989. The complexity of cutting complexes.
    Discrete &#38; Computational Geometry. 4(1), 139–181.
  mla: Chazelle, Bernard, et al. “The Complexity of Cutting Complexes.” <i>Discrete
    &#38; Computational Geometry</i>, vol. 4, no. 1, Springer, 1989, pp. 139–81, doi:<a
    href="https://doi.org/10.1007/BF02187720">10.1007/BF02187720</a>.
  short: B. Chazelle, H. Edelsbrunner, L. Guibas, Discrete &#38; Computational Geometry
    4 (1989) 139–181.
date_created: 2018-12-11T12:06:54Z
date_published: 1989-03-01T00:00:00Z
date_updated: 2022-02-10T10:25:57Z
day: '01'
doi: 10.1007/BF02187720
extern: '1'
intvolume: '         4'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/article/10.1007/BF02187720
month: '03'
oa_version: None
page: 139 - 181
publication: Discrete & Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer
publist_id: '2032'
quality_controlled: '1'
status: public
title: The complexity of cutting complexes
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 4
year: '1989'
...
---
_id: '4309'
abstract:
- lang: eng
  text: Three methods for estimating the average level of gene flow in natural population
    are discussed and compared. The three methods are FST, rare alleles, and maximum
    likelihood. All three methods yield estimates of the combination of parameters
    (the number of migrants [Nm] in a demic model or the neighborhood size [4πDσ2]
    in a continuum model) that determines the relative importance of gene flow and
    genetic drift. We review the theory underlying these methods and derive new analytic
    results for the expectation of FST in stepping-stone and continuum models when
    small sets of samples are taken. We also compare the effectiveness of the different
    methods using a variety of simulated data. We found that the FST and rare-alleles
    methods yield comparable estimates under a wide variety of conditions when the
    population being sampled is demographically stable. They are roughly equally sensitive
    to selection and to variation in population structure, and they approach their
    equilibrium values at approximately the same rate. We found that two different
    maximum-likelihood methods tend to yield biased estimates when relatively small
    numbers of locations are sampled but more accurate estimates when larger numbers
    are sampled. Our conclusion is that, although FST and rare-alleles methods are
    expected to be equally effective in analyzing ideal data, practical problems in
    estimating the frequencies of rare alleles in electrophoretic studies suggest
    that FST is likely to be more useful under realistic conditions.
acknowledgement: This research has been supported in partv by grant 85-00258 from
  the National Science Foundation and by grants GR/C/9 1529 and GR/E/08507 from the
  Science and Engineering Research Council. We thank C. C. Cockerham and B. S. Weir
  for helpful discussions of this topic, C. Wehrhahn for bringing his method to our
  attention and for providing us with a copy of his program for estimating Nm, and
  J. Coyne, M. Nei, B. S. Weir, and an anonymous referee for comments on an earlier
  draft of this paper.
article_processing_charge: No
article_type: original
author:
- first_name: Montgomery
  full_name: Slatkin, Montgomery
  last_name: Slatkin
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
citation:
  ama: Slatkin M, Barton NH. A comparison of three methods for estimating average
    levels of gene flow. <i>Evolution; International Journal of Organic Evolution</i>.
    1989;43(7):1349-1368. doi:<a href="https://doi.org/10.1111/j.1558-5646.1989.tb02587.x
    ">10.1111/j.1558-5646.1989.tb02587.x </a>
  apa: Slatkin, M., &#38; Barton, N. H. (1989). A comparison of three methods for
    estimating average levels of gene flow. <i>Evolution; International Journal of
    Organic Evolution</i>. Wiley-Blackwell. <a href="https://doi.org/10.1111/j.1558-5646.1989.tb02587.x
    ">https://doi.org/10.1111/j.1558-5646.1989.tb02587.x </a>
  chicago: Slatkin, Montgomery, and Nicholas H Barton. “A Comparison of Three Methods
    for Estimating Average Levels of Gene Flow.” <i>Evolution; International Journal
    of Organic Evolution</i>. Wiley-Blackwell, 1989. <a href="https://doi.org/10.1111/j.1558-5646.1989.tb02587.x
    ">https://doi.org/10.1111/j.1558-5646.1989.tb02587.x </a>.
  ieee: M. Slatkin and N. H. Barton, “A comparison of three methods for estimating
    average levels of gene flow,” <i>Evolution; International Journal of Organic Evolution</i>,
    vol. 43, no. 7. Wiley-Blackwell, pp. 1349–1368, 1989.
  ista: Slatkin M, Barton NH. 1989. A comparison of three methods for estimating average
    levels of gene flow. Evolution; International Journal of Organic Evolution. 43(7),
    1349–1368.
  mla: Slatkin, Montgomery, and Nicholas H. Barton. “A Comparison of Three Methods
    for Estimating Average Levels of Gene Flow.” <i>Evolution; International Journal
    of Organic Evolution</i>, vol. 43, no. 7, Wiley-Blackwell, 1989, pp. 1349–68,
    doi:<a href="https://doi.org/10.1111/j.1558-5646.1989.tb02587.x ">10.1111/j.1558-5646.1989.tb02587.x
    </a>.
  short: M. Slatkin, N.H. Barton, Evolution; International Journal of Organic Evolution
    43 (1989) 1349–1368.
date_created: 2018-12-11T12:08:10Z
date_published: 1989-11-01T00:00:00Z
date_updated: 2022-02-10T09:44:53Z
day: '01'
doi: '10.1111/j.1558-5646.1989.tb02587.x '
extern: '1'
external_id:
  pmid:
  - '28564250 '
intvolume: '        43'
issue: '7'
language:
- iso: eng
main_file_link:
- url: http://www.jstor.org/stable/2409452
month: '11'
oa_version: None
page: 1349 - 1368
pmid: 1
publication: Evolution; International Journal of Organic Evolution
publication_identifier:
  eissn:
  - 1558-5646
  issn:
  - 0014-3820
publication_status: published
publisher: Wiley-Blackwell
publist_id: '1751'
quality_controlled: '1'
status: public
title: A comparison of three methods for estimating average levels of gene flow
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 43
year: '1989'
...
---
_id: '4312'
acknowledgement: "We thank G. E. Bradford, B. Charlesworth, J. A. Coyne, D. Currie,
  H. Dingle, J. H. Gillespie, A. Gimelfarb, W. G. Hill, A. A. Hoffmann, K. S. Jackson,
  J. S. Jones, A. Liebowiz, T. Mitchell-aids , T. A. Mousseau, J. Peck, T. Prout,
  B. Riska, D. A. Roff, H. B. Shaffer, and M. Slatkin for helpful discussions and
  comments on earlier drafts. Our research is supported\r\nin part by grants from
  the Science and Engineering Research Council, the National Science Foundation (BSR-8866548),
  and the Institute of Theoretical Dynamics at University of California, Davis."
article_processing_charge: No
article_type: original
author:
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
- first_name: Michael
  full_name: Turelli, Michael
  last_name: Turelli
citation:
  ama: 'Barton NH, Turelli M. Evolutionary quantitative genetics: how little do we
    know? <i>Annual Review of Genetics</i>. 1989;23:337-370. doi:<a href="https://doi.org/10.1146/annurev.ge.23.120189.002005">10.1146/annurev.ge.23.120189.002005</a>'
  apa: 'Barton, N. H., &#38; Turelli, M. (1989). Evolutionary quantitative genetics:
    how little do we know? <i>Annual Review of Genetics</i>. Annual Reviews. <a href="https://doi.org/10.1146/annurev.ge.23.120189.002005">https://doi.org/10.1146/annurev.ge.23.120189.002005</a>'
  chicago: 'Barton, Nicholas H, and Michael Turelli. “Evolutionary Quantitative Genetics:
    How Little Do We Know?” <i>Annual Review of Genetics</i>. Annual Reviews, 1989.
    <a href="https://doi.org/10.1146/annurev.ge.23.120189.002005">https://doi.org/10.1146/annurev.ge.23.120189.002005</a>.'
  ieee: 'N. H. Barton and M. Turelli, “Evolutionary quantitative genetics: how little
    do we know?,” <i>Annual Review of Genetics</i>, vol. 23. Annual Reviews, pp. 337–370,
    1989.'
  ista: 'Barton NH, Turelli M. 1989. Evolutionary quantitative genetics: how little
    do we know? Annual Review of Genetics. 23, 337–370.'
  mla: 'Barton, Nicholas H., and Michael Turelli. “Evolutionary Quantitative Genetics:
    How Little Do We Know?” <i>Annual Review of Genetics</i>, vol. 23, Annual Reviews,
    1989, pp. 337–70, doi:<a href="https://doi.org/10.1146/annurev.ge.23.120189.002005">10.1146/annurev.ge.23.120189.002005</a>.'
  short: N.H. Barton, M. Turelli, Annual Review of Genetics 23 (1989) 337–370.
date_created: 2018-12-11T12:08:11Z
date_published: 1989-01-01T00:00:00Z
date_updated: 2022-02-09T16:01:46Z
day: '01'
doi: 10.1146/annurev.ge.23.120189.002005
extern: '1'
intvolume: '        23'
language:
- iso: eng
main_file_link:
- url: https://www.annualreviews.org/doi/10.1146/annurev.ge.23.120189.002005
month: '01'
oa_version: None
page: 337 - 370
publication: Annual Review of Genetics
publication_identifier:
  eissn:
  - 1545-2948
  issn:
  - 0066-4197
publication_status: published
publisher: Annual Reviews
publist_id: '1744'
quality_controlled: '1'
status: public
title: 'Evolutionary quantitative genetics: how little do we know?'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 23
year: '1989'
...
---
_id: '4313'
article_processing_charge: No
author:
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
citation:
  ama: 'Barton NH. Founder effect speciation. In: Otte D, Endler J, eds. <i>Speciation
    and Its Consequences</i>. Sinauer Press; 1989.'
  apa: Barton, N. H. (1989). Founder effect speciation. In D. Otte &#38; J. Endler
    (Eds.), <i>Speciation and its consequences</i>. Sinauer Press.
  chicago: Barton, Nicholas H. “Founder Effect Speciation.” In <i>Speciation and Its
    Consequences</i>, edited by Daniel Otte and John Endler. Sinauer Press, 1989.
  ieee: N. H. Barton, “Founder effect speciation,” in <i>Speciation and its consequences</i>,
    D. Otte and J. Endler, Eds. Sinauer Press, 1989.
  ista: 'Barton NH. 1989.Founder effect speciation. In: Speciation and its consequences.
    .'
  mla: Barton, Nicholas H. “Founder Effect Speciation.” <i>Speciation and Its Consequences</i>,
    edited by Daniel Otte and John Endler, Sinauer Press, 1989.
  short: N.H. Barton, in:, D. Otte, J. Endler (Eds.), Speciation and Its Consequences,
    Sinauer Press, 1989.
date_created: 2018-12-11T12:08:12Z
date_published: 1989-01-01T00:00:00Z
date_updated: 2022-02-09T15:03:06Z
day: '01'
editor:
- first_name: Daniel
  full_name: Otte, Daniel
  last_name: Otte
- first_name: John
  full_name: Endler, John
  last_name: Endler
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://www.researchgate.net/publication/237005503_Speciation_and_Its_Consequences
month: '01'
oa_version: None
publication: Speciation and its consequences
publication_identifier:
  isbn:
  - ‎ 978-0878936571
publication_status: published
publisher: Sinauer Press
publist_id: '1742'
status: public
title: Founder effect speciation
type: book_chapter
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1989'
...
---
_id: '4314'
abstract:
- lang: eng
  text: 'Polygenic variation can be maintained by a balance between mutation and stabilizing
    selection. When the alleles responsible for variation are rare, many classes of
    equilibria may be stable. The rate at which drift causes shifts between equilibria
    is investigated by integrating the gene frequency distribution W2N II (pq)4N mu-1.
    This integral can be found exactly, by numerical integration, or can be approximated
    by assuming that the full distribution of allele frequencies is approximately
    Gaussian. These methods are checked against simulations. Over a wide range of
    population sizes, drift will keep the population near an equilibrium which minimizes
    the genetic variance and the deviation from the selective optimum. Shifts between
    equilibria in this class occur at an appreciable rate if the product of population
    size and selection on each locus is small (Ns alpha 2 less than 10). The Gaussian
    approximation is accurate even when the underlying distribution is strongly skewed.
    Reproductive isolation evolves as populations shift to new combinations of alleles:
    however, this process is slow, approaching the neutral rate (approximately mu)
    in small populations.'
article_processing_charge: No
article_type: original
author:
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
citation:
  ama: Barton NH. The divergence of a polygenic system under stabilising selection,
    mutation and drift. <i>Genetical Research</i>. 1989;54(1):59-78. doi:<a href="https://doi.org/10.1017/S0016672300028378">10.1017/S0016672300028378</a>
  apa: Barton, N. H. (1989). The divergence of a polygenic system under stabilising
    selection, mutation and drift. <i>Genetical Research</i>. Cambridge University
    Press. <a href="https://doi.org/10.1017/S0016672300028378">https://doi.org/10.1017/S0016672300028378</a>
  chicago: Barton, Nicholas H. “The Divergence of a Polygenic System under Stabilising
    Selection, Mutation and Drift.” <i>Genetical Research</i>. Cambridge University
    Press, 1989. <a href="https://doi.org/10.1017/S0016672300028378">https://doi.org/10.1017/S0016672300028378</a>.
  ieee: N. H. Barton, “The divergence of a polygenic system under stabilising selection,
    mutation and drift,” <i>Genetical Research</i>, vol. 54, no. 1. Cambridge University
    Press, pp. 59–78, 1989.
  ista: Barton NH. 1989. The divergence of a polygenic system under stabilising selection,
    mutation and drift. Genetical Research. 54(1), 59–78.
  mla: Barton, Nicholas H. “The Divergence of a Polygenic System under Stabilising
    Selection, Mutation and Drift.” <i>Genetical Research</i>, vol. 54, no. 1, Cambridge
    University Press, 1989, pp. 59–78, doi:<a href="https://doi.org/10.1017/S0016672300028378">10.1017/S0016672300028378</a>.
  short: N.H. Barton, Genetical Research 54 (1989) 59–78.
date_created: 2018-12-11T12:08:12Z
date_published: 1989-08-01T00:00:00Z
date_updated: 2022-02-09T14:18:28Z
day: '01'
doi: 10.1017/S0016672300028378
extern: '1'
external_id:
  pmid:
  - '2806907'
intvolume: '        54'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://www.cambridge.org/core/journals/genetics-research/article/divergence-of-a-polygenic-system-subject-to-stabilizing-selection-mutation-and-drift/95DF5B589A5C32376F1AAEE99F3200D8
month: '08'
oa_version: None
page: 59 - 78
pmid: 1
publication: Genetical Research
publication_identifier:
  eissn:
  - 1469-5073
  issn:
  - 0016-6723
publication_status: published
publisher: Cambridge University Press
publist_id: '1741'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The divergence of a polygenic system under stabilising selection, mutation
  and drift
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 54
year: '1989'
...
---
_id: '4596'
abstract:
- lang: eng
  text: A real-time temporal logic for the specification of reactive systems is introduced.
    The novel feature of the logic, TPTL, is the adoption of temporal operators as
    quantifiers over time variables; every modality binds a variable to the time(s)
    it refers to. TPTL is demonstrated to be both a natural specification language
    and a suitable formalism for verification and synthesis. A tableau-based decision
    procedure and model-checking algorithm for TPTL are presented. Several generalizations
    of TPTL are shown to be highly undecidable.
acknowledgement: 'We thank Zohar Manna, Amir Pnueli, and David Dill for their guidance.
  Moshe Vardi and Joe Halpern gave us very helpful advice for refilling our undecidability
  results. '
article_processing_charge: No
author:
- first_name: Rajeev
  full_name: Alur, Rajeev
  last_name: Alur
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: 'Alur R, Henzinger TA. A really temporal logic. In: <i>30th Annual Symposium
    on Foundations of Computer Science</i>. FCOS. IEEE; 1989:164-169. doi:<a href="https://doi.org/10.1109/SFCS.1989.63473">10.1109/SFCS.1989.63473</a>'
  apa: 'Alur, R., &#38; Henzinger, T. A. (1989). A really temporal logic. In <i>30th
    Annual Symposium on Foundations of Computer Science</i> (pp. 164–169). Research
    Triangle Park, NC, USA: IEEE. <a href="https://doi.org/10.1109/SFCS.1989.63473">https://doi.org/10.1109/SFCS.1989.63473</a>'
  chicago: Alur, Rajeev, and Thomas A Henzinger. “A Really Temporal Logic.” In <i>30th
    Annual Symposium on Foundations of Computer Science</i>, 164–69. FCOS. IEEE, 1989.
    <a href="https://doi.org/10.1109/SFCS.1989.63473">https://doi.org/10.1109/SFCS.1989.63473</a>.
  ieee: R. Alur and T. A. Henzinger, “A really temporal logic,” in <i>30th Annual
    Symposium on Foundations of Computer Science</i>, Research Triangle Park, NC,
    USA, 1989, pp. 164–169.
  ista: 'Alur R, Henzinger TA. 1989. A really temporal logic. 30th Annual Symposium
    on Foundations of Computer Science. FOCS: Foundations of Computer ScienceFCOS,
    164–169.'
  mla: Alur, Rajeev, and Thomas A. Henzinger. “A Really Temporal Logic.” <i>30th Annual
    Symposium on Foundations of Computer Science</i>, IEEE, 1989, pp. 164–69, doi:<a
    href="https://doi.org/10.1109/SFCS.1989.63473">10.1109/SFCS.1989.63473</a>.
  short: R. Alur, T.A. Henzinger, in:, 30th Annual Symposium on Foundations of Computer
    Science, IEEE, 1989, pp. 164–169.
conference:
  end_date: 1989-11-01
  location: Research Triangle Park, NC, USA
  name: 'FOCS: Foundations of Computer Science'
  start_date: 1989-10-30
date_created: 2018-12-11T12:09:40Z
date_published: 1989-01-01T00:00:00Z
date_updated: 2022-02-09T10:40:13Z
day: '01'
doi: 10.1109/SFCS.1989.63473
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://ieeexplore.ieee.org/document/63473
month: '01'
oa_version: None
page: 164 - 169
publication: 30th Annual Symposium on Foundations of Computer Science
publication_identifier:
  eissn:
  - 1558-0814
  isbn:
  - 0-8186-1982-1
  issn:
  - 0018-9162
publication_status: published
publisher: IEEE
publist_id: '111'
quality_controlled: '1'
series_title: FCOS
status: public
title: A really temporal logic
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1989'
...
---
_id: '2479'
abstract:
- lang: eng
  text: Distribution of putative glutamatergic neurons in the lower brainstem and
    cerebellum of the rat was examined immunocytochemically by using a monoclonal
    antibody against phosphate-activated glutaminase, which has been proposed to be
    a major synthetic enzyme of transmitter glutamate and so may serve as a marker
    for glutamatergic neurons in the central nervous system. Intensely-immunolabeled
    neuronal cell bodies were densely distributed in the main precerebellar nuclei
    sending mossy fibers to the cerebellum; in the pontine nuclei, pontine tegmental
    reticular nucleus of Bechterew, external cuneate nucleus, and lateral reticular
    nucleus of the medulla oblongata. Phosphate-activated glutaminase-immunoreactive
    granular deposits were densely seen in the brachium pontis and restiform body,
    suggesting the immunolabeling of mossy fibers of passage. In the cerebellum, neuropil
    within the granule cell layer of the cerebellar cortex displayed intense phosphate-activated
    glutaminase-immunoreactivity, and that within the deep cerebellar nuclei showed
    moderate immunoreactivity. These results indicate that many mossy fiber terminals
    originate from phosphate-activated glutaminase-containing neurons and utilize
    phosphate-activated glutaminase for the synthesis of transmitter glutamate. Intensely-immunostained
    neuronal cell bodies were further observed in other regions which have been reported
    to contain neurons sending mossy fibers to the cerebellum; in the dorsal part
    of the principal sensory trigeminal nucleus, dorsomedial part of the oral subnucleus
    of the spinal trigeminal nucleus, interpolar subnucleus of the spinal trigeminal
    nucleus, paratrigeminal nucleus, supragenual nucleus, regions dorsal to the abducens
    nucleus and genu of the facial nerve, superior and medial vestibular nuclei, cell
    groups f, x and y, hypoglossal prepositus nucleus, intercalated nucleus, nucleus
    of Roller, reticular regions intercalated between the motor trigeminal and principal
    sensory trigeminal nuclei, linear nucleus, and gigantocellular and paramedian
    reticular formation. Neuronal cell bodies with intense phosphate-activated glutaminase-immunoreactivity
    were also found in other brainstem regions, such as the paracochlear glial substance,
    posterior ventral cochlear nucleus, and cell group e. Although it is still controversial
    whether all glutamatergic neurons use phosphate-activated glutaminase in a transmitter-related
    process and whether phosphate-activated glutaminase is involved in other metabolism-related
    processes, the neurons showing intense phosphate-activated glutaminase-immuno-reactivity
    in the present study were suggested to be putative glutamatergic neurons.
acknowledgement: 'The authors wish to thank Mr. Akira Uesugi and Mr. Ken’ichi Uesugi
  for their photographic help. This work was partly supported by grants-in-aid from
  the Ministry of Education, science and Culture of Japan for Special Project Research
  63112003. Special Research Project on Priority-Areas 63623505, Special Research
  62480098 and Encouragement of Young Scientist 63770043. The support of the Niwa
  Medical Research Foundation, Dr. Satoru Fukuchi, Dr. Toshio Fukuda, Dr. Ritsu Hayashi,
  Dr. Yutaka Kitani, Dr. Hiroshi Matsushima, Dr. Gonpei Niwa, Dr. Hiroyasu Ohtsuka,
  Dr. Shigeo Tamaki, and Dr. Eizo Watanabe are gratefully acknowledged. '
article_processing_charge: No
article_type: original
author:
- first_name: Takeshi
  full_name: Kaneko, Takeshi
  last_name: Kaneko
- first_name: Kazuo
  full_name: Itoh, Kazuo
  last_name: Itoh
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Noboru
  full_name: Mizuno, Noboru
  last_name: Mizuno
citation:
  ama: Kaneko T, Itoh K, Shigemoto R, Mizuno N. Glutaminase-like immunoreactivity
    in the lower brainstem and cerebellum of the adult rat. <i>Neuroscience</i>. 1989;32(1):79-98.
    doi:<a href="https://doi.org/10.1016/0306-4522(89)90109-7">10.1016/0306-4522(89)90109-7</a>
  apa: Kaneko, T., Itoh, K., Shigemoto, R., &#38; Mizuno, N. (1989). Glutaminase-like
    immunoreactivity in the lower brainstem and cerebellum of the adult rat. <i>Neuroscience</i>.
    Elsevier. <a href="https://doi.org/10.1016/0306-4522(89)90109-7">https://doi.org/10.1016/0306-4522(89)90109-7</a>
  chicago: Kaneko, Takeshi, Kazuo Itoh, Ryuichi Shigemoto, and Noboru Mizuno. “Glutaminase-like
    Immunoreactivity in the Lower Brainstem and Cerebellum of the Adult Rat.” <i>Neuroscience</i>.
    Elsevier, 1989. <a href="https://doi.org/10.1016/0306-4522(89)90109-7">https://doi.org/10.1016/0306-4522(89)90109-7</a>.
  ieee: T. Kaneko, K. Itoh, R. Shigemoto, and N. Mizuno, “Glutaminase-like immunoreactivity
    in the lower brainstem and cerebellum of the adult rat,” <i>Neuroscience</i>,
    vol. 32, no. 1. Elsevier, pp. 79–98, 1989.
  ista: Kaneko T, Itoh K, Shigemoto R, Mizuno N. 1989. Glutaminase-like immunoreactivity
    in the lower brainstem and cerebellum of the adult rat. Neuroscience. 32(1), 79–98.
  mla: Kaneko, Takeshi, et al. “Glutaminase-like Immunoreactivity in the Lower Brainstem
    and Cerebellum of the Adult Rat.” <i>Neuroscience</i>, vol. 32, no. 1, Elsevier,
    1989, pp. 79–98, doi:<a href="https://doi.org/10.1016/0306-4522(89)90109-7">10.1016/0306-4522(89)90109-7</a>.
  short: T. Kaneko, K. Itoh, R. Shigemoto, N. Mizuno, Neuroscience 32 (1989) 79–98.
date_created: 2018-12-11T11:57:54Z
date_published: 1989-01-01T00:00:00Z
date_updated: 2022-02-15T09:47:08Z
day: '01'
doi: 10.1016/0306-4522(89)90109-7
extern: '1'
external_id:
  pmid:
  - '2586753'
intvolume: '        32'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://www.sciencedirect.com/science/article/pii/0306452289901097?via%3Dihub
month: '01'
oa_version: None
page: 79 - 98
pmid: 1
publication: Neuroscience
publication_identifier:
  eissn:
  - 1873-7544
  issn:
  - 0306-4522
publication_status: published
publisher: Elsevier
publist_id: '4422'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Glutaminase-like immunoreactivity in the lower brainstem and cerebellum of
  the adult rat
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 32
year: '1989'
...
---
_id: '2525'
abstract:
- lang: eng
  text: This paper describes the amino acid sequence of the rat substance P receptor
    and its comparison with that of the rat substance K receptor on the basis of molecular
    cloning and sequence analysis. From a rat brain cDNA library constructed with
    an RNA expression vector, we identified a cDNA mixture containing a functional
    substance P receptor cDNA by examining electrophysiologically a receptor expression
    following injection of the mRNAs synthesized in vitro into Xenopus oocytes. A
    receptor cDNA clone was then isolated by cross-hybridization with the bovine substance
    K receptor DNA. The clone was confirmed by selective binding of substance P to
    the cloned receptor expressed in mammalian COS cells. The deduced amino acid sequence
    (407 amino acid residues) possesses seven putative membrane spanning domains and
    shows a sequence similarity to the members of G-protein-coupled receptors. The
    rat substance P and substance K receptor are very similar in both size and amino
    acid sequences, particularly in the putative transmembrane similarity is in marked
    contrast to the sequence divergence in the amino- and carboxyl-terminal regions
    and the third cytoplasmic loop. The observed sequence similarytity and divergence
    would thus contribute to the expression of similar but pharmacological regions
    and the first and second cytoplasmic loops. This distinguishable activities of
    the two tachykinin receptors.
acknowledgement: 'This work was supported in part by research grants from the Ministry
  of Education, Science and Culture of Japan, the Institute of Physical and Chemical
  Research, and the Science and Technology Agency of Japan. The costs of publication
  of this article were defrayed in part by the payment of page charges. This article
  must therefore be hereby marked “advertisement” in accordance with 18 U.S.C. Section
  1734 solely to indicate this fact. '
article_processing_charge: No
article_type: original
author:
- first_name: Yoshifumi
  full_name: Yokota, Yoshifumi
  last_name: Yokota
- first_name: Yoshiki
  full_name: Sasai, Yoshiki
  last_name: Sasai
- first_name: Kohichi
  full_name: Tanaka, Kohichi
  last_name: Tanaka
- first_name: Tsutomu
  full_name: Fujiwara, Tsutomu
  last_name: Fujiwara
- first_name: Kunihiro
  full_name: Tsuchida, Kunihiro
  last_name: Tsuchida
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Akira
  full_name: Kakizuka, Akira
  last_name: Kakizuka
- first_name: Hiroaki
  full_name: Ohkubo, Hiroaki
  last_name: Ohkubo
- first_name: Shigetada
  full_name: Nakanishi, Shigetada
  last_name: Nakanishi
citation:
  ama: Yokota Y, Sasai Y, Tanaka K, et al. Molecular characterization of a functional
    cDNA for rat substance P receptor. <i>Journal of Biological Chemistry</i>. 1989;264(30):17649-17652.
    doi:<a href="https://doi.org/doi.org/10.1016/S0021-9258(19)84619-7">doi.org/10.1016/S0021-9258(19)84619-7</a>
  apa: Yokota, Y., Sasai, Y., Tanaka, K., Fujiwara, T., Tsuchida, K., Shigemoto, R.,
    … Nakanishi, S. (1989). Molecular characterization of a functional cDNA for rat
    substance P receptor. <i>Journal of Biological Chemistry</i>. American Society
    for Biochemistry and Molecular Biology. <a href="https://doi.org/doi.org/10.1016/S0021-9258(19)84619-7">https://doi.org/doi.org/10.1016/S0021-9258(19)84619-7</a>
  chicago: Yokota, Yoshifumi, Yoshiki Sasai, Kohichi Tanaka, Tsutomu Fujiwara, Kunihiro
    Tsuchida, Ryuichi Shigemoto, Akira Kakizuka, Hiroaki Ohkubo, and Shigetada Nakanishi.
    “Molecular Characterization of a Functional CDNA for Rat Substance P Receptor.”
    <i>Journal of Biological Chemistry</i>. American Society for Biochemistry and
    Molecular Biology, 1989. <a href="https://doi.org/doi.org/10.1016/S0021-9258(19)84619-7">https://doi.org/doi.org/10.1016/S0021-9258(19)84619-7</a>.
  ieee: Y. Yokota <i>et al.</i>, “Molecular characterization of a functional cDNA
    for rat substance P receptor,” <i>Journal of Biological Chemistry</i>, vol. 264,
    no. 30. American Society for Biochemistry and Molecular Biology, pp. 17649–17652,
    1989.
  ista: Yokota Y, Sasai Y, Tanaka K, Fujiwara T, Tsuchida K, Shigemoto R, Kakizuka
    A, Ohkubo H, Nakanishi S. 1989. Molecular characterization of a functional cDNA
    for rat substance P receptor. Journal of Biological Chemistry. 264(30), 17649–17652.
  mla: Yokota, Yoshifumi, et al. “Molecular Characterization of a Functional CDNA
    for Rat Substance P Receptor.” <i>Journal of Biological Chemistry</i>, vol. 264,
    no. 30, American Society for Biochemistry and Molecular Biology, 1989, pp. 17649–52,
    doi:<a href="https://doi.org/doi.org/10.1016/S0021-9258(19)84619-7">doi.org/10.1016/S0021-9258(19)84619-7</a>.
  short: Y. Yokota, Y. Sasai, K. Tanaka, T. Fujiwara, K. Tsuchida, R. Shigemoto, A.
    Kakizuka, H. Ohkubo, S. Nakanishi, Journal of Biological Chemistry 264 (1989)
    17649–17652.
date_created: 2018-12-11T11:58:11Z
date_published: 1989-10-25T00:00:00Z
date_updated: 2022-02-15T09:29:36Z
day: '25'
doi: doi.org/10.1016/S0021-9258(19)84619-7
extern: '1'
external_id:
  pmid:
  - '2478537'
intvolume: '       264'
issue: '30'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/S0021925819846197
month: '10'
oa: 1
oa_version: Published Version
page: 17649 - 17652
pmid: 1
publication: Journal of Biological Chemistry
publication_identifier:
  eissn:
  - 1083-351X
  issn:
  - 0021-9258
publication_status: published
publisher: American Society for Biochemistry and Molecular Biology
publist_id: '4374'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Molecular characterization of a functional cDNA for rat substance P receptor
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 264
year: '1989'
...
---
_id: '2526'
abstract:
- lang: eng
  text: When WGA-HRP (wheat germ agglutinin-horseradish peroxidase conjugate) or HRP
    was injected into the regions around the superior central and/or the dorsal raphe
    nuclei in the cat, cell bodies of a number of non-pyramidal neurons were labeled
    in Ammon's horn. Thus the existence of direct projections from non-pyramidal neurons
    in Ammon's horn to the rostral raphe regions in the brainstem was suggested in
    the cat.
acknowledgement: The photographic help of Mr. Akira Uesugi, and the support of Niwa
  Medical Research Foundation are gratefully acknowledged. This work has been supported
  in part by Grant-in-Aid for Special Project Research (No. 63112003) and Grant-in-Aid
  for Scientific Research (No. 62480098) from the Ministry of Education, Science and
  Culture of Japan.
article_processing_charge: No
article_type: original
author:
- first_name: Tadashi
  full_name: Ino, Tadashi
  last_name: Ino
- first_name: Kazuo
  full_name: Itoh, Kazuo
  last_name: Itoh
- first_name: Hiroto
  full_name: Kamiya, Hiroto
  last_name: Kamiya
- first_name: Takeshi
  full_name: Kaneko, Takeshi
  last_name: Kaneko
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Ichiro
  full_name: Akiguchi, Ichiro
  last_name: Akiguchi
- first_name: Noboru
  full_name: Mizuno, Noboru
  last_name: Mizuno
citation:
  ama: Ino T, Itoh K, Kamiya H, et al. Direct projections from Ammon’s horn to the
    rostral raphe regions in the brainstem of the cat. <i>Brain Research</i>. 1989;479(1):157-161.
    doi:<a href="https://doi.org/10.1016/0006-8993(89)91346-2">10.1016/0006-8993(89)91346-2</a>
  apa: Ino, T., Itoh, K., Kamiya, H., Kaneko, T., Shigemoto, R., Akiguchi, I., &#38;
    Mizuno, N. (1989). Direct projections from Ammon’s horn to the rostral raphe regions
    in the brainstem of the cat. <i>Brain Research</i>. Elsevier. <a href="https://doi.org/10.1016/0006-8993(89)91346-2">https://doi.org/10.1016/0006-8993(89)91346-2</a>
  chicago: Ino, Tadashi, Kazuo Itoh, Hiroto Kamiya, Takeshi Kaneko, Ryuichi Shigemoto,
    Ichiro Akiguchi, and Noboru Mizuno. “Direct Projections from Ammon’s Horn to the
    Rostral Raphe Regions in the Brainstem of the Cat.” <i>Brain Research</i>. Elsevier,
    1989. <a href="https://doi.org/10.1016/0006-8993(89)91346-2">https://doi.org/10.1016/0006-8993(89)91346-2</a>.
  ieee: T. Ino <i>et al.</i>, “Direct projections from Ammon’s horn to the rostral
    raphe regions in the brainstem of the cat,” <i>Brain Research</i>, vol. 479, no.
    1. Elsevier, pp. 157–161, 1989.
  ista: Ino T, Itoh K, Kamiya H, Kaneko T, Shigemoto R, Akiguchi I, Mizuno N. 1989.
    Direct projections from Ammon’s horn to the rostral raphe regions in the brainstem
    of the cat. Brain Research. 479(1), 157–161.
  mla: Ino, Tadashi, et al. “Direct Projections from Ammon’s Horn to the Rostral Raphe
    Regions in the Brainstem of the Cat.” <i>Brain Research</i>, vol. 479, no. 1,
    Elsevier, 1989, pp. 157–61, doi:<a href="https://doi.org/10.1016/0006-8993(89)91346-2">10.1016/0006-8993(89)91346-2</a>.
  short: T. Ino, K. Itoh, H. Kamiya, T. Kaneko, R. Shigemoto, I. Akiguchi, N. Mizuno,
    Brain Research 479 (1989) 157–161.
date_created: 2018-12-11T11:58:11Z
date_published: 1989-02-06T00:00:00Z
date_updated: 2022-02-15T09:14:43Z
day: '06'
doi: 10.1016/0006-8993(89)91346-2
extern: '1'
external_id:
  pmid:
  - '2466535 '
intvolume: '       479'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://www.sciencedirect.com/science/article/pii/0006899389913462?via%3Dihub
month: '02'
oa_version: None
page: 157 - 161
pmid: 1
publication: Brain Research
publication_identifier:
  eissn:
  - 1872-6240
  issn:
  - 0006-8993
publication_status: published
publisher: Elsevier
publist_id: '4373'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Direct projections from Ammon's horn to the rostral raphe regions in the brainstem
  of the cat
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 479
year: '1989'
...
---
_id: '2527'
article_processing_charge: No
article_type: original
author:
- first_name: Masumi
  full_name: Akimoto, Masumi
  last_name: Akimoto
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Makiko
  full_name: Kawamura, Makiko
  last_name: Kawamura
- first_name: Hideharu
  full_name: Yamagata, Hideharu
  last_name: Yamagata
- first_name: Takeshi
  full_name: Kurihara, Takeshi
  last_name: Kurihara
- first_name: S
  full_name: Takata, S
  last_name: Takata
- first_name: Yoko
  full_name: Miwa, Yoko
  last_name: Miwa
- first_name: N
  full_name: Akagami, N
  last_name: Akagami
- first_name: Kenichi
  full_name: Katsu, Kenichi
  last_name: Katsu
- first_name: D
  full_name: Yamauchi, D
  last_name: Yamauchi
citation:
  ama: Akimoto M, Shigemoto R, Kawamura M, et al. Effect of endothelin on gastric
    mucosal blood flow in rat. <i>Japanese Journal of Gastroenterology</i>. 1989;86(11):2627.
    doi:<a href="https://doi.org/10.11405/nisshoshi1964.86.2627">10.11405/nisshoshi1964.86.2627</a>
  apa: Akimoto M., Shigemoto R., Kawamura M., Yamagata H., Kurihara T., Takata S.,
    … Yamauchi D. (1989). Effect of endothelin on gastric mucosal blood flow in rat.
    <i>Japanese Journal of Gastroenterology</i>. Japanese Society of Gastroenterology.
    <a href="https://doi.org/10.11405/nisshoshi1964.86.2627">https://doi.org/10.11405/nisshoshi1964.86.2627</a>
  chicago: Akimoto Masumi, Shigemoto Ryuichi, Kawamura Makiko, Yamagata Hideharu,
    Kurihara Takeshi, Takata S, Miwa Yoko, Akagami N, Katsu Kenichi, and Yamauchi
    D. “Effect of endothelin on gastric mucosal blood flow in rat.” <i>Japanese Journal
    of Gastroenterology</i>. Japanese Society of Gastroenterology, 1989. <a href="https://doi.org/10.11405/nisshoshi1964.86.2627">https://doi.org/10.11405/nisshoshi1964.86.2627</a>.
  ieee: Akimoto M. <i>et al.</i>, “Effect of endothelin on gastric mucosal blood flow
    in rat,” <i>Japanese Journal of Gastroenterology</i>, vol. 86, no. 11. Japanese
    Society of Gastroenterology, p. 2627, 1989.
  ista: Akimoto M, Shigemoto R, Kawamura M, Yamagata H, Kurihara T, Takata S, Miwa
    Y, Akagami N, Katsu K, Yamauchi D. 1989. Effect of endothelin on gastric mucosal
    blood flow in rat. Japanese Journal of Gastroenterology. 86(11), 2627.
  mla: Akimoto Masumi, et al. “Effect of endothelin on gastric mucosal blood flow
    in rat.” <i>Japanese Journal of Gastroenterology</i>, vol. 86, no. 11, Japanese
    Society of Gastroenterology, 1989, p. 2627, doi:<a href="https://doi.org/10.11405/nisshoshi1964.86.2627">10.11405/nisshoshi1964.86.2627</a>.
  short: Akimoto M., Shigemoto R., Kawamura M., Yamagata H., Kurihara T., Takata S.,
    Miwa Y., Akagami N., Katsu K., Yamauchi D., Japanese Journal of Gastroenterology
    86 (1989) 2627.
date_created: 2018-12-11T11:58:12Z
date_published: 1989-11-01T00:00:00Z
date_updated: 2022-02-15T09:06:39Z
day: '01'
doi: 10.11405/nisshoshi1964.86.2627
extern: '1'
intvolume: '        86'
issue: '11'
language:
- iso: jpn
main_file_link:
- url: https://www.jstage.jst.go.jp/article/nisshoshi1964/86/11/86_11_2627/_article/-char/ja/
month: '11'
oa_version: None
page: '2627'
publication: Japanese Journal of Gastroenterology
publication_status: published
publisher: Japanese Society of Gastroenterology
publist_id: '4372'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Effect of endothelin on gastric mucosal blood flow in rat
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 86
year: '1989'
...
---
_id: '1941'
article_processing_charge: No
article_type: original
author:
- first_name: Leonid A
  full_name: Sazanov, Leonid A
  id: 338D39FE-F248-11E8-B48F-1D18A9856A87
  last_name: Sazanov
  orcid: 0000-0002-4561-241X
- first_name: V A
  full_name: Karavaev, V A
  last_name: Karavaev
- first_name: A K
  full_name: Kukushkin, A K
  last_name: Kukushkin
citation:
  ama: Sazanov LA, Karavaev VA, Kukushkin AK. Mathematical model of photosynthesis
    regulation accounts for the effects of changes in external conditions and observed
    oscillations. <i>Russian Journal of Physical Chemistry B</i>. 1988;52:3351-3354.
  apa: Sazanov, L. A., Karavaev, V. A., &#38; Kukushkin, A. K. (1988). Mathematical
    model of photosynthesis regulation accounts for the effects of changes in external
    conditions and observed oscillations. <i>Russian Journal of Physical Chemistry
    B</i>. Elsevier.
  chicago: Sazanov, Leonid A, V A Karavaev, and A K Kukushkin. “Mathematical model
    of photosynthesis regulation accounts for the effects of changes in external conditions
    and observed oscillations.” <i>Russian Journal of Physical Chemistry B</i>. Elsevier,
    1988.
  ieee: L. A. Sazanov, V. A. Karavaev, and A. K. Kukushkin, “Mathematical model of
    photosynthesis regulation accounts for the effects of changes in external conditions
    and observed oscillations,” <i>Russian Journal of Physical Chemistry B</i>, vol.
    52. Elsevier, pp. 3351–3354, 1988.
  ista: Sazanov LA, Karavaev VA, Kukushkin AK. 1988. Mathematical model of photosynthesis
    regulation accounts for the effects of changes in external conditions and observed
    oscillations. Russian Journal of Physical Chemistry B. 52, 3351–3354.
  mla: Sazanov, Leonid A., et al. “Mathematical model of photosynthesis regulation
    accounts for the effects of changes in external conditions and observed oscillations.”
    <i>Russian Journal of Physical Chemistry B</i>, vol. 52, Elsevier, 1988, pp. 3351–54.
  short: L.A. Sazanov, V.A. Karavaev, A.K. Kukushkin, Russian Journal of Physical
    Chemistry B 52 (1988) 3351–3354.
date_created: 2018-12-11T11:54:50Z
date_published: 1988-01-01T00:00:00Z
date_updated: 2022-02-09T13:40:17Z
day: '01'
extern: '1'
intvolume: '        52'
language:
- iso: rus
month: '01'
oa_version: None
page: 3351 - 3354
publication: Russian Journal of Physical Chemistry B
publication_identifier:
  eissn:
  - 1990-7923
  issn:
  - 1990-7931
publication_status: published
publisher: Elsevier
publist_id: '5144'
quality_controlled: '1'
status: public
title: Mathematical model of photosynthesis regulation accounts for the effects of
  changes in external conditions and observed oscillations
type: journal_article
user_id: 2EBD1598-F248-11E8-B48F-1D18A9856A87
volume: 52
year: '1988'
...
---
_id: '3655'
abstract:
- lang: eng
  text: "The structural basis and distribution of variation in the ribosomal RNA multigene
    family ( rDNA) was studied in the X0 and neo-XY races of the Alpine grasshopper
    Podisma pedestris. Restriction-enzyme sites in the gene region of the rDNA repeat
    were identical in both races and homogeneous in the rDNA family. In contrast,
    sites for Hind111 and PvuII in the intergenic spacer (IGS) region showed racial
    divergence and variation within the rDNA family and within populations. A short
    insertion in the 28s gene region was present in a minority of repeats in both
    races. The distributions of four polymorphic IGS Hind111 fragments were surveyed
    at 43 locations in and around the hybrid zone. Two of these fragments appear to
    be distributed as clines, one of which is strongly associated with the neo-X chromosome.
    The other two fragments show considerable variation in both races and show negative
    association. It is proposed that the clinally distributed variants arise from
    processes of amplification and divergence of IGS sequence variants and that such
    \r\ndivergence may contribute to hybrid inviability. "
acknowledgement: 'We thank Dr. W. Kunz for providing the clones pLm6F4 and pLm4Bll
  and Dr. D. Glover for the clone pDm238. We thank Brian Curtis for his photographic
  assistance. '
article_processing_charge: No
article_type: original
author:
- first_name: John
  full_name: Dallas, John
  last_name: Dallas
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
- first_name: Gabriel
  full_name: Dover, Gabriel
  last_name: Dover
citation:
  ama: Dallas J, Barton NH, Dover G. Interracial rDNA variation in the grasshopper
    Podisma Pedestris. <i>Molecular Biology and Evolution</i>. 1988;5(6):660-674.
    doi:<a href="https://doi.org/10.1093/oxfordjournals.molbev.a040528">10.1093/oxfordjournals.molbev.a040528</a>
  apa: Dallas, J., Barton, N. H., &#38; Dover, G. (1988). Interracial rDNA variation
    in the grasshopper Podisma Pedestris. <i>Molecular Biology and Evolution</i>.
    Oxford University Press. <a href="https://doi.org/10.1093/oxfordjournals.molbev.a040528">https://doi.org/10.1093/oxfordjournals.molbev.a040528</a>
  chicago: Dallas, John, Nicholas H Barton, and Gabriel Dover. “Interracial RDNA Variation
    in the Grasshopper Podisma Pedestris.” <i>Molecular Biology and Evolution</i>.
    Oxford University Press, 1988. <a href="https://doi.org/10.1093/oxfordjournals.molbev.a040528">https://doi.org/10.1093/oxfordjournals.molbev.a040528</a>.
  ieee: J. Dallas, N. H. Barton, and G. Dover, “Interracial rDNA variation in the
    grasshopper Podisma Pedestris,” <i>Molecular Biology and Evolution</i>, vol. 5,
    no. 6. Oxford University Press, pp. 660–674, 1988.
  ista: Dallas J, Barton NH, Dover G. 1988. Interracial rDNA variation in the grasshopper
    Podisma Pedestris. Molecular Biology and Evolution. 5(6), 660–674.
  mla: Dallas, John, et al. “Interracial RDNA Variation in the Grasshopper Podisma
    Pedestris.” <i>Molecular Biology and Evolution</i>, vol. 5, no. 6, Oxford University
    Press, 1988, pp. 660–74, doi:<a href="https://doi.org/10.1093/oxfordjournals.molbev.a040528">10.1093/oxfordjournals.molbev.a040528</a>.
  short: J. Dallas, N.H. Barton, G. Dover, Molecular Biology and Evolution 5 (1988)
    660–674.
date_created: 2018-12-11T12:04:28Z
date_published: 1988-07-01T00:00:00Z
date_updated: 2022-02-08T13:20:51Z
day: '01'
doi: 10.1093/oxfordjournals.molbev.a040528
extern: '1'
intvolume: '         5'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://academic.oup.com/mbe/article/5/6/660/1044340
month: '07'
oa: 1
oa_version: None
page: 660 - 674
publication: Molecular Biology and Evolution
publication_identifier:
  eissn:
  - 1537-1719
  issn:
  - 0737-4038
publication_status: published
publisher: Oxford University Press
publist_id: '2728'
quality_controlled: '1'
status: public
title: Interracial rDNA variation in the grasshopper Podisma Pedestris
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 5
year: '1988'
...
---
_id: '4090'
abstract:
- lang: eng
  text: In this paper we study the problem of polygonal separation in the plane, i.e.,
    finding a convex polygon with minimum number k of sides separating two given finite
    point sets (k-separator), if it exists. We show that for k = Θ(n),  is a lower
    bound to the running time of any algorithm for this problem, and exhibit two algorithms
    of distinctly different flavors. The first relies on an O(n log n)-time preprocessing
    task, which constructs the convex hull of the internal set and a nested star-shaped
    polygon determined by the external set; the k-separator is contained in the annulus
    between the boundaries of these two polygons and is constructed in additional
    linear time. The second algorithm adapts the prune-and-search approach, and constructs,
    in each iteration, one side of the separator; its running time is O(kn), but the
    separator may have one more side than the minimum.
acknowledgement: Research of the first author is supported by Amoco Fnd. Fat. Dev.
  Comput. Sci. l-6-44862; research of the second author is supported by NSF Grant
  ECS 84-10902.
article_processing_charge: No
article_type: original
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Franco
  full_name: Preparata, Franco
  last_name: Preparata
citation:
  ama: Edelsbrunner H, Preparata F. Minimum polygonal separation. <i>Information and
    Computation</i>. 1988;77(3):218-232. doi:<a href="https://doi.org/10.1016/0890-5401(88)90049-1">10.1016/0890-5401(88)90049-1</a>
  apa: Edelsbrunner, H., &#38; Preparata, F. (1988). Minimum polygonal separation.
    <i>Information and Computation</i>. Elsevier. <a href="https://doi.org/10.1016/0890-5401(88)90049-1">https://doi.org/10.1016/0890-5401(88)90049-1</a>
  chicago: Edelsbrunner, Herbert, and Franco Preparata. “Minimum Polygonal Separation.”
    <i>Information and Computation</i>. Elsevier, 1988. <a href="https://doi.org/10.1016/0890-5401(88)90049-1">https://doi.org/10.1016/0890-5401(88)90049-1</a>.
  ieee: H. Edelsbrunner and F. Preparata, “Minimum polygonal separation,” <i>Information
    and Computation</i>, vol. 77, no. 3. Elsevier, pp. 218–232, 1988.
  ista: Edelsbrunner H, Preparata F. 1988. Minimum polygonal separation. Information
    and Computation. 77(3), 218–232.
  mla: Edelsbrunner, Herbert, and Franco Preparata. “Minimum Polygonal Separation.”
    <i>Information and Computation</i>, vol. 77, no. 3, Elsevier, 1988, pp. 218–32,
    doi:<a href="https://doi.org/10.1016/0890-5401(88)90049-1">10.1016/0890-5401(88)90049-1</a>.
  short: H. Edelsbrunner, F. Preparata, Information and Computation 77 (1988) 218–232.
date_created: 2018-12-11T12:06:53Z
date_published: 1988-06-01T00:00:00Z
date_updated: 2022-02-08T10:36:30Z
day: '01'
doi: 10.1016/0890-5401(88)90049-1
extern: '1'
intvolume: '        77'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/0890540188900491?via%3Dihub
month: '06'
oa: 1
oa_version: None
page: 218 - 232
publication: Information and Computation
publication_identifier:
  eissn:
  - 0890-5401
publication_status: published
publisher: Elsevier
publist_id: '2029'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Minimum polygonal separation
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 77
year: '1988'
...
---
_id: '4091'
abstract:
- lang: eng
  text: An X-ray probe through a polygon measures the length of intersection between
    a line and the polygon. This paper considers the properties of various classes
    of X-ray probes, and shows how they interact to give finite strategies for completely
    describing convex n-gons. It is shown that (3n/2)+6 probes are sufficient to verify
    a specified n-gon, while for determining convex polygons (3n-1)/2 X-ray probes
    are necesssary and 5n+O(1) sufficient, with 3n+O(1) sufficient given that a lower
    bound on the size of the smallest edge of P is known.
acknowledgement: The research of this author was supported by the Amoco Foundation
  Facility for the Development of Computer Science 1-6-44862.
article_processing_charge: No
article_type: original
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Steven
  full_name: Skiena, Steven
  last_name: Skiena
citation:
  ama: Edelsbrunner H, Skiena S. Probing convex polygons with X-Rays. <i>SIAM Journal
    on Computing</i>. 1988;17(5):870-882. doi:<a href="https://doi.org/10.1137/0217054
    ">10.1137/0217054 </a>
  apa: Edelsbrunner, H., &#38; Skiena, S. (1988). Probing convex polygons with X-Rays.
    <i>SIAM Journal on Computing</i>. SIAM. <a href="https://doi.org/10.1137/0217054
    ">https://doi.org/10.1137/0217054 </a>
  chicago: Edelsbrunner, Herbert, and Steven Skiena. “Probing Convex Polygons with
    X-Rays.” <i>SIAM Journal on Computing</i>. SIAM, 1988. <a href="https://doi.org/10.1137/0217054
    ">https://doi.org/10.1137/0217054 </a>.
  ieee: H. Edelsbrunner and S. Skiena, “Probing convex polygons with X-Rays,” <i>SIAM
    Journal on Computing</i>, vol. 17, no. 5. SIAM, pp. 870–882, 1988.
  ista: Edelsbrunner H, Skiena S. 1988. Probing convex polygons with X-Rays. SIAM
    Journal on Computing. 17(5), 870–882.
  mla: Edelsbrunner, Herbert, and Steven Skiena. “Probing Convex Polygons with X-Rays.”
    <i>SIAM Journal on Computing</i>, vol. 17, no. 5, SIAM, 1988, pp. 870–82, doi:<a
    href="https://doi.org/10.1137/0217054 ">10.1137/0217054 </a>.
  short: H. Edelsbrunner, S. Skiena, SIAM Journal on Computing 17 (1988) 870–882.
date_created: 2018-12-11T12:06:53Z
date_published: 1988-01-01T00:00:00Z
date_updated: 2022-02-08T11:14:23Z
day: '01'
doi: '10.1137/0217054 '
extern: '1'
intvolume: '        17'
issue: '5'
language:
- iso: eng
main_file_link:
- url: https://epubs.siam.org/doi/10.1137/0217054
month: '01'
oa_version: None
page: 870 - 882
publication: SIAM Journal on Computing
publication_identifier:
  eissn:
  - 1095-7111
  issn:
  - 0097-5397
publication_status: published
publisher: SIAM
publist_id: '2030'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Probing convex polygons with X-Rays
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 17
year: '1988'
...
---
_id: '4096'
acknowledgement: Research on this paper was supported by the National Science Foundation
  under grant CCR-8714565.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
citation:
  ama: 'Edelsbrunner H. Geometric structures in computational geometry. In: <i>15th
    International Colloquium on Automata, Languages and Programming</i>. Vol 317.
    Springer; 1988:201-213. doi:<a href="https://doi.org/10.1007/3-540-19488-6_117">10.1007/3-540-19488-6_117</a>'
  apa: 'Edelsbrunner, H. (1988). Geometric structures in computational geometry. In
    <i>15th International Colloquium on Automata, Languages and Programming</i> (Vol.
    317, pp. 201–213). Tampere, Finland: Springer. <a href="https://doi.org/10.1007/3-540-19488-6_117">https://doi.org/10.1007/3-540-19488-6_117</a>'
  chicago: Edelsbrunner, Herbert. “Geometric Structures in Computational Geometry.”
    In <i>15th International Colloquium on Automata, Languages and Programming</i>,
    317:201–13. Springer, 1988. <a href="https://doi.org/10.1007/3-540-19488-6_117">https://doi.org/10.1007/3-540-19488-6_117</a>.
  ieee: H. Edelsbrunner, “Geometric structures in computational geometry,” in <i>15th
    International Colloquium on Automata, Languages and Programming</i>, Tampere,
    Finland, 1988, vol. 317, pp. 201–213.
  ista: 'Edelsbrunner H. 1988. Geometric structures in computational geometry. 15th
    International Colloquium on Automata, Languages and Programming. ALP: Automata,
    Languages and Programming, LNCS, vol. 317, 201–213.'
  mla: Edelsbrunner, Herbert. “Geometric Structures in Computational Geometry.” <i>15th
    International Colloquium on Automata, Languages and Programming</i>, vol. 317,
    Springer, 1988, pp. 201–13, doi:<a href="https://doi.org/10.1007/3-540-19488-6_117">10.1007/3-540-19488-6_117</a>.
  short: H. Edelsbrunner, in:, 15th International Colloquium on Automata, Languages
    and Programming, Springer, 1988, pp. 201–213.
conference:
  end_date: 1988-07-15
  location: Tampere, Finland
  name: 'ALP: Automata, Languages and Programming'
  start_date: 1988-07-11
date_created: 2018-12-11T12:06:55Z
date_published: 1988-01-01T00:00:00Z
date_updated: 2022-02-08T09:53:52Z
day: '01'
doi: 10.1007/3-540-19488-6_117
extern: '1'
intvolume: '       317'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/chapter/10.1007/3-540-19488-6_117
month: '01'
oa_version: None
page: 201 - 213
publication: 15th International Colloquium on Automata, Languages and Programming
publication_identifier:
  eisbn:
  - 978-3-540-39291-0
  isbn:
  - 978-3-540-19488-0
publication_status: published
publisher: Springer
publist_id: '2027'
quality_controlled: '1'
status: public
title: Geometric structures in computational geometry
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 317
year: '1988'
...
---
_id: '4097'
abstract:
- lang: eng
  text: Arrangements of curves in the plane are of fundamental significance in many
    problems of computational and combinatorial geometry (e.g. motion planning, algebraic
    cell decomposition, etc.). In this paper we study various topological and combinatorial
    properties of such arrangements under some mild assumptions on the shape of the
    curves, and develop basic tools for the construction, manipulation, and analysis
    of these arrangements. Our main results include a generalization of the zone theorem
    of [EOS], [CGL] to arrangements of curves (in which we show that the combinatorial
    complexity of the zone of a curve is nearly linear in the number of curves), and
    an application of (some weaker variant of) that theorem to obtain a nearly quadratic
    incremental algorithm for the construction of such arrangements.
acknowledgement: Work on this paper by the first author has been supported by Amoco
  Fnd. Fac. Dev. Comput. Sci. 1-6-44862 and by the National Science Foundation under
  grant CCR-8714566. Work on this paper by the third and sixth authors has been supported
  by Office of Naval Research Grant N00014-82-K-0381, by National Science Foundation
  Grant No. NSF-DCR-83-20085, by grants from the Digital Equipment Corporation, and
  the IBM Corporation. Work by the sixth author has also been supported by a research
  grant from the NCRD — the Israeli National Council for Research and Development.
  Work by the fourth author has been supported by National Science Foundation Grant
  DMS-8501947.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Leonidas
  full_name: Guibas, Leonidas
  last_name: Guibas
- first_name: János
  full_name: Pach, János
  last_name: Pach
- first_name: Richard
  full_name: Pollack, Richard
  last_name: Pollack
- first_name: Raimund
  full_name: Seidel, Raimund
  last_name: Seidel
- first_name: Micha
  full_name: Sharir, Micha
  last_name: Sharir
citation:
  ama: 'Edelsbrunner H, Guibas L, Pach J, Pollack R, Seidel R, Sharir M. Arrangements
    of curves in the plane - topology, combinatorics, and algorithms. In: <i>15th
    International Colloquium on Automata, Languages and Programming</i>. Vol 317.
    Springer; 1988:214-229. doi:<a href="https://doi.org/10.1007/3-540-19488-6_118">10.1007/3-540-19488-6_118</a>'
  apa: 'Edelsbrunner, H., Guibas, L., Pach, J., Pollack, R., Seidel, R., &#38; Sharir,
    M. (1988). Arrangements of curves in the plane - topology, combinatorics, and
    algorithms. In <i>15th International Colloquium on Automata, Languages and Programming</i>
    (Vol. 317, pp. 214–229). Tampere, Finland: Springer. <a href="https://doi.org/10.1007/3-540-19488-6_118">https://doi.org/10.1007/3-540-19488-6_118</a>'
  chicago: Edelsbrunner, Herbert, Leonidas Guibas, János Pach, Richard Pollack, Raimund
    Seidel, and Micha Sharir. “Arrangements of Curves in the Plane - Topology, Combinatorics,
    and Algorithms.” In <i>15th International Colloquium on Automata, Languages and
    Programming</i>, 317:214–29. Springer, 1988. <a href="https://doi.org/10.1007/3-540-19488-6_118">https://doi.org/10.1007/3-540-19488-6_118</a>.
  ieee: H. Edelsbrunner, L. Guibas, J. Pach, R. Pollack, R. Seidel, and M. Sharir,
    “Arrangements of curves in the plane - topology, combinatorics, and algorithms,”
    in <i>15th International Colloquium on Automata, Languages and Programming</i>,
    Tampere, Finland, 1988, vol. 317, pp. 214–229.
  ista: 'Edelsbrunner H, Guibas L, Pach J, Pollack R, Seidel R, Sharir M. 1988. Arrangements
    of curves in the plane - topology, combinatorics, and algorithms. 15th International
    Colloquium on Automata, Languages and Programming. ICALP: Automata, Languages
    and Programming, LNCS, vol. 317, 214–229.'
  mla: Edelsbrunner, Herbert, et al. “Arrangements of Curves in the Plane - Topology,
    Combinatorics, and Algorithms.” <i>15th International Colloquium on Automata,
    Languages and Programming</i>, vol. 317, Springer, 1988, pp. 214–29, doi:<a href="https://doi.org/10.1007/3-540-19488-6_118">10.1007/3-540-19488-6_118</a>.
  short: H. Edelsbrunner, L. Guibas, J. Pach, R. Pollack, R. Seidel, M. Sharir, in:,
    15th International Colloquium on Automata, Languages and Programming, Springer,
    1988, pp. 214–229.
conference:
  end_date: 1988-07-15
  location: Tampere, Finland
  name: 'ICALP: Automata, Languages and Programming'
  start_date: 1988-07-11
date_created: 2018-12-11T12:06:55Z
date_published: 1988-01-01T00:00:00Z
date_updated: 2022-02-08T10:15:09Z
day: '01'
doi: 10.1007/3-540-19488-6_118
extern: '1'
intvolume: '       317'
keyword:
- line segment
- computational geometry
- Jordan curve
- cell decomposition
- vertical tangency
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/chapter/10.1007/3-540-19488-6_118
month: '01'
oa_version: None
page: 214 - 229
publication: 15th International Colloquium on Automata, Languages and Programming
publication_identifier:
  isbn:
  - 978-3-540-19488-0
publication_status: published
publisher: Springer
publist_id: '2028'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Arrangements of curves in the plane - topology, combinatorics, and algorithms
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 317
year: '1988'
...
