---
_id: '4055'
abstract:
- lang: eng
  text: It is shown that a triangulation of a set of n points in the plane that minimizes
    the maximum edge length can be computed in time O(n2). The algorithm is reasonably
    easy to implement and is based on the theorem that there is a triangulation with
    minmax edge length that contains the relative neighborhood graph of the points
    as a subgraph. With minor modifications the algorithm works for arbitrary normed
    metrics.
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: Tiow
  full_name: Tan, Tiow
  last_name: Tan
citation:
  ama: 'Edelsbrunner H, Tan T. A quadratic time algorithm for the minmax length triangulation.
    In: <i>32nd Annual Symposium of Foundations of Computer Science</i>. IEEE; 1991:414-423.
    doi:<a href="https://doi.org/10.1109/SFCS.1991.185400">10.1109/SFCS.1991.185400</a>'
  apa: 'Edelsbrunner, H., &#38; Tan, T. (1991). A quadratic time algorithm for the
    minmax length triangulation. In <i>32nd Annual Symposium of Foundations of Computer
    Science</i> (pp. 414–423). San Juan, PR, United States of America: IEEE. <a href="https://doi.org/10.1109/SFCS.1991.185400">https://doi.org/10.1109/SFCS.1991.185400</a>'
  chicago: Edelsbrunner, Herbert, and Tiow Tan. “A Quadratic Time Algorithm for the
    Minmax Length Triangulation.” In <i>32nd Annual Symposium of Foundations of Computer
    Science</i>, 414–23. IEEE, 1991. <a href="https://doi.org/10.1109/SFCS.1991.185400">https://doi.org/10.1109/SFCS.1991.185400</a>.
  ieee: H. Edelsbrunner and T. Tan, “A quadratic time algorithm for the minmax length
    triangulation,” in <i>32nd Annual Symposium of Foundations of Computer Science</i>,
    San Juan, PR, United States of America, 1991, pp. 414–423.
  ista: 'Edelsbrunner H, Tan T. 1991. A quadratic time algorithm for the minmax length
    triangulation. 32nd Annual Symposium of Foundations of Computer Science. FOCS:
    Foundations of Computer Science, 414–423.'
  mla: Edelsbrunner, Herbert, and Tiow Tan. “A Quadratic Time Algorithm for the Minmax
    Length Triangulation.” <i>32nd Annual Symposium of Foundations of Computer Science</i>,
    IEEE, 1991, pp. 414–23, doi:<a href="https://doi.org/10.1109/SFCS.1991.185400">10.1109/SFCS.1991.185400</a>.
  short: H. Edelsbrunner, T. Tan, in:, 32nd Annual Symposium of Foundations of Computer
    Science, IEEE, 1991, pp. 414–423.
conference:
  end_date: 1991-10-04
  location: San Juan, PR, United States of America
  name: 'FOCS: Foundations of Computer Science'
  start_date: 1991-10-01
date_created: 2018-12-11T12:06:40Z
date_published: 1991-12-01T00:00:00Z
date_updated: 2022-02-28T15:51:45Z
day: '01'
doi: 10.1109/SFCS.1991.185400
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://ieeexplore.ieee.org/document/185400
month: '12'
oa_version: None
page: 414 - 423
publication: 32nd Annual Symposium of Foundations of Computer Science
publication_status: published
publisher: IEEE
publist_id: '2069'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A quadratic time algorithm for the minmax length triangulation
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1991'
...
---
_id: '4056'
abstract:
- lang: eng
  text: This paper proves that for every n ≥ 4 there is a convex n-gon such that the
    vertices of 2n - 7 vertex pairs are one unit of distance apart. This improves
    the previously best lower bound of ⌊ (5n - 5) 3⌋ given by Erdo{combining double
    acute accent}s and Moser if n ≥ 17.
acknowledgement: The first author is pleased to acknowledge partial support by the
  Amoco Fnd. Fat. Dev. Comput. Sci. i-6-44862 and the National Science Foundation
  under Grant CCR-8714565.
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: Péter
  full_name: Hajnal, Péter
  last_name: Hajnal
citation:
  ama: Edelsbrunner H, Hajnal P. A lower bound on the number of unit distances between
    the vertices of a convex polygon. <i>Journal of Combinatorial Theory Series A</i>.
    1991;56(2):312-316. doi:<a href="https://doi.org/10.1016/0097-3165(91)90042-F">10.1016/0097-3165(91)90042-F</a>
  apa: Edelsbrunner, H., &#38; Hajnal, P. (1991). A lower bound on the number of unit
    distances between the vertices of a convex polygon. <i>Journal of Combinatorial
    Theory Series A</i>. Elsevier. <a href="https://doi.org/10.1016/0097-3165(91)90042-F">https://doi.org/10.1016/0097-3165(91)90042-F</a>
  chicago: Edelsbrunner, Herbert, and Péter Hajnal. “A Lower Bound on the Number of
    Unit Distances between the Vertices of a Convex Polygon.” <i>Journal of Combinatorial
    Theory Series A</i>. Elsevier, 1991. <a href="https://doi.org/10.1016/0097-3165(91)90042-F">https://doi.org/10.1016/0097-3165(91)90042-F</a>.
  ieee: H. Edelsbrunner and P. Hajnal, “A lower bound on the number of unit distances
    between the vertices of a convex polygon,” <i>Journal of Combinatorial Theory
    Series A</i>, vol. 56, no. 2. Elsevier, pp. 312–316, 1991.
  ista: Edelsbrunner H, Hajnal P. 1991. A lower bound on the number of unit distances
    between the vertices of a convex polygon. Journal of Combinatorial Theory Series
    A. 56(2), 312–316.
  mla: Edelsbrunner, Herbert, and Péter Hajnal. “A Lower Bound on the Number of Unit
    Distances between the Vertices of a Convex Polygon.” <i>Journal of Combinatorial
    Theory Series A</i>, vol. 56, no. 2, Elsevier, 1991, pp. 312–16, doi:<a href="https://doi.org/10.1016/0097-3165(91)90042-F">10.1016/0097-3165(91)90042-F</a>.
  short: H. Edelsbrunner, P. Hajnal, Journal of Combinatorial Theory Series A 56 (1991)
    312–316.
date_created: 2018-12-11T12:06:41Z
date_published: 1991-03-01T00:00:00Z
date_updated: 2022-03-02T09:56:10Z
day: '01'
doi: 10.1016/0097-3165(91)90042-F
extern: '1'
intvolume: '        56'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/009731659190042F?via%3Dihub
month: '03'
oa: 1
oa_version: Published Version
page: 312 - 316
publication: Journal of Combinatorial Theory Series A
publication_identifier:
  eissn:
  - 1096-0899
  issn:
  - 0097-3165
publication_status: published
publisher: Elsevier
publist_id: '2070'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A lower bound on the number of unit distances between the vertices of a convex
  polygon
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 56
year: '1991'
...
---
_id: '4057'
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
citation:
  ama: Edelsbrunner H. Corrigendum. <i>Journal of Computer and System Sciences</i>.
    1991;42(2):249-251. doi:<a href="https://doi.org/10.1016/0022-0000(91)90013-U">10.1016/0022-0000(91)90013-U</a>
  apa: Edelsbrunner, H. (1991). Corrigendum. <i>Journal of Computer and System Sciences</i>.
    Elsevier. <a href="https://doi.org/10.1016/0022-0000(91)90013-U">https://doi.org/10.1016/0022-0000(91)90013-U</a>
  chicago: Edelsbrunner, Herbert. “Corrigendum.” <i>Journal of Computer and System
    Sciences</i>. Elsevier, 1991. <a href="https://doi.org/10.1016/0022-0000(91)90013-U">https://doi.org/10.1016/0022-0000(91)90013-U</a>.
  ieee: H. Edelsbrunner, “Corrigendum,” <i>Journal of Computer and System Sciences</i>,
    vol. 42, no. 2. Elsevier, pp. 249–251, 1991.
  ista: Edelsbrunner H. 1991. Corrigendum. Journal of Computer and System Sciences.
    42(2), 249–251.
  mla: Edelsbrunner, Herbert. “Corrigendum.” <i>Journal of Computer and System Sciences</i>,
    vol. 42, no. 2, Elsevier, 1991, pp. 249–51, doi:<a href="https://doi.org/10.1016/0022-0000(91)90013-U">10.1016/0022-0000(91)90013-U</a>.
  short: H. Edelsbrunner, Journal of Computer and System Sciences 42 (1991) 249–251.
date_created: 2018-12-11T12:06:41Z
date_published: 1991-04-01T00:00:00Z
date_updated: 2022-03-02T10:06:55Z
day: '01'
doi: 10.1016/0022-0000(91)90013-U
extern: '1'
intvolume: '        42'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/002200009190013U?via%3Dihub
month: '04'
oa: 1
oa_version: Published Version
page: 249 - 251
publication: Journal of Computer and System Sciences
publication_identifier:
  eissn:
  - 1090-2724
  issn:
  - 0022-0000
publication_status: published
publisher: Elsevier
publist_id: '2071'
quality_controlled: '1'
status: public
title: Corrigendum
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 42
year: '1991'
...
---
_id: '4058'
abstract:
- lang: eng
  text: We present a randomized incremental algorithm for computing a single face
    in an arrangement of n line segments in the plane that is fairly simple to implement.
    The expected running time of the algorithm is O (nα(n) log n). The analysis of
    the algorithm uses a novel approach that generalizes and extends the Clarkson-Shor
    analysis technique.
acknowledgement: 'NSF Grant CC R-89-21421. The authors wish to express their gratitude
  for the generous support and hospitality of the DEC Palo Alto Systems Research Center. '
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
- first_name: Jack
  full_name: Snoeyink, Jack
  last_name: Snoeyink
citation:
  ama: 'Chazelle B, Edelsbrunner H, Guibas L, Sharir M, Snoeyink J. Computing a face
    in an arrangement of line segments. In: <i>Proceedings of the 2nd Annual ACM-SIAM
    Symposium on Discrete Algorithms</i>. SIAM; 1991:441-448.'
  apa: 'Chazelle, B., Edelsbrunner, H., Guibas, L., Sharir, M., &#38; Snoeyink, J.
    (1991). Computing a face in an arrangement of line segments. In <i>Proceedings
    of the 2nd annual ACM-SIAM symposium on Discrete algorithms</i> (pp. 441–448).
    San Francisco, CA, United States of America: SIAM.'
  chicago: Chazelle, Bernard, Herbert Edelsbrunner, Leonidas Guibas, Micha Sharir,
    and Jack Snoeyink. “Computing a Face in an Arrangement of Line Segments.” In <i>Proceedings
    of the 2nd Annual ACM-SIAM Symposium on Discrete Algorithms</i>, 441–48. SIAM,
    1991.
  ieee: B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, and J. Snoeyink, “Computing
    a face in an arrangement of line segments,” in <i>Proceedings of the 2nd annual
    ACM-SIAM symposium on Discrete algorithms</i>, San Francisco, CA, United States
    of America, 1991, pp. 441–448.
  ista: 'Chazelle B, Edelsbrunner H, Guibas L, Sharir M, Snoeyink J. 1991. Computing
    a face in an arrangement of line segments. Proceedings of the 2nd annual ACM-SIAM
    symposium on Discrete algorithms. SODA: Symposium on Discrete Algorithms, 441–448.'
  mla: Chazelle, Bernard, et al. “Computing a Face in an Arrangement of Line Segments.”
    <i>Proceedings of the 2nd Annual ACM-SIAM Symposium on Discrete Algorithms</i>,
    SIAM, 1991, pp. 441–48.
  short: B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, J. Snoeyink, in:, Proceedings
    of the 2nd Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 1991, pp. 441–448.
conference:
  end_date: 1991-01-30
  location: San Francisco, CA, United States of America
  name: 'SODA: Symposium on Discrete Algorithms'
  start_date: 1991-01-28
date_created: 2018-12-11T12:06:41Z
date_published: 1991-01-01T00:00:00Z
date_updated: 2022-02-28T14:41:47Z
day: '01'
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://dl.acm.org/doi/10.5555/127787.127864
month: '01'
oa_version: None
page: 441 - 448
publication: Proceedings of the 2nd annual ACM-SIAM symposium on Discrete algorithms
publication_identifier:
  isbn:
  - 978-0-89791-376-8
publication_status: published
publisher: SIAM
publist_id: '2065'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Computing a face in an arrangement of line segments
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1991'
...
---
_id: '4059'
abstract:
- lang: eng
  text: Let P be a simple polygon with n vertices. We present a simple decomposition
    scheme that partitions the interior of P into O(n) so-called geodesic triangles,
    so that any line segment interior to P crosses at most 2 log n of these triangles.
    This decomposition can be used to preprocess P in time O(n log n) and storage
    O(n), so that any ray-shooting query can be answered in time O(log n).The algorithms
    are fairly simple and easy to implement. We also extend this technique to the
    case of ray-shooting amidst k polygonal obstacles with a total of n edges, so
    that a query can be answered in O(radicklog n) time.
acknowledgement: Work by Bernard Chazelle has been supported by NSF Grant CCR-87-00917.
  Work by Herbert Edelsbrunner has been supported by NSF Grant CCR-89-21421. Work
  by Micha Sharir has been supported by ONR Grants N00014-89-J-3042 and N00014-90-J-1284,
  by NSF Grant CCR-89-01484, and by grants from the U.S.-Israeli Binational Science
  Foundation, the Fund for Basic Research administered by the Israeli Academy of Sciences,
  and the G.I.F., the German-Israeli Foundation for Scientific Research and Development.
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: Michelangelo
  full_name: Grigni, Michelangelo
  last_name: Grigni
- first_name: Leonidas
  full_name: Guibas, Leonidas
  last_name: Guibas
- first_name: John
  full_name: Hershberger, John
  last_name: Hershberger
- first_name: Micha
  full_name: Sharir, Micha
  last_name: Sharir
- first_name: Jack
  full_name: Snoeyink, Jack
  last_name: Snoeyink
citation:
  ama: 'Chazelle B, Edelsbrunner H, Grigni M, et al. Ray shooting in polygons using
    geodesic triangulations. In: <i>18th International Colloquium on Automata, Languages
    and Programming</i>. Vol 510. Springer; 1991:661-673. doi:<a href="https://doi.org/10.1007/3-540-54233-7_172">10.1007/3-540-54233-7_172</a>'
  apa: 'Chazelle, B., Edelsbrunner, H., Grigni, M., Guibas, L., Hershberger, J., Sharir,
    M., &#38; Snoeyink, J. (1991). Ray shooting in polygons using geodesic triangulations.
    In <i>18th International Colloquium on Automata, Languages and Programming</i>
    (Vol. 510, pp. 661–673). Madrid, Spain: Springer. <a href="https://doi.org/10.1007/3-540-54233-7_172">https://doi.org/10.1007/3-540-54233-7_172</a>'
  chicago: Chazelle, Bernard, Herbert Edelsbrunner, Michelangelo Grigni, Leonidas
    Guibas, John Hershberger, Micha Sharir, and Jack Snoeyink. “Ray Shooting in Polygons
    Using Geodesic Triangulations.” In <i>18th International Colloquium on Automata,
    Languages and Programming</i>, 510:661–73. Springer, 1991. <a href="https://doi.org/10.1007/3-540-54233-7_172">https://doi.org/10.1007/3-540-54233-7_172</a>.
  ieee: B. Chazelle <i>et al.</i>, “Ray shooting in polygons using geodesic triangulations,”
    in <i>18th International Colloquium on Automata, Languages and Programming</i>,
    Madrid, Spain, 1991, vol. 510, pp. 661–673.
  ista: 'Chazelle B, Edelsbrunner H, Grigni M, Guibas L, Hershberger J, Sharir M,
    Snoeyink J. 1991. Ray shooting in polygons using geodesic triangulations. 18th
    International Colloquium on Automata, Languages and Programming. ICALP: Automata,
    Languages and Programming, LNCS, vol. 510, 661–673.'
  mla: Chazelle, Bernard, et al. “Ray Shooting in Polygons Using Geodesic Triangulations.”
    <i>18th International Colloquium on Automata, Languages and Programming</i>, vol.
    510, Springer, 1991, pp. 661–73, doi:<a href="https://doi.org/10.1007/3-540-54233-7_172">10.1007/3-540-54233-7_172</a>.
  short: B. Chazelle, H. Edelsbrunner, M. Grigni, L. Guibas, J. Hershberger, M. Sharir,
    J. Snoeyink, in:, 18th International Colloquium on Automata, Languages and Programming,
    Springer, 1991, pp. 661–673.
conference:
  end_date: 1991-07-12
  location: Madrid, Spain
  name: 'ICALP: Automata, Languages and Programming'
  start_date: 1991-07-08
date_created: 2018-12-11T12:06:42Z
date_published: 1991-06-20T00:00:00Z
date_updated: 2022-02-28T14:53:03Z
day: '20'
doi: 10.1007/3-540-54233-7_172
extern: '1'
intvolume: '       510'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/chapter/10.1007/3-540-54233-7_172
month: '06'
oa_version: None
page: 661 - 673
publication: 18th International Colloquium on Automata, Languages and Programming
publication_status: published
publisher: Springer
publist_id: '2066'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ray shooting in polygons using geodesic triangulations
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 510
year: '1991'
...
---
_id: '4061'
abstract:
- lang: eng
  text: We present an algorithm to compute a Euclidean minimum spanning tree of a
    given set S of N points in Ed in time O(Fd (N,N) logd N), where Fd (n,m) is the
    time required to compute a bichromatic closest pair among n red and m green points
    in Ed . If Fd (N,N)=Ω(N1+ε), for some fixed e{open}&gt;0, then the running time
    improves to O(Fd (N,N)). Furthermore, we describe a randomized algorithm to compute
    a bichromatic closest pair in expected time O((nm log n log m)2/3+m log2 n+n log2
    m) in E3, which yields an O(N4/3 log4/3 N) expected time, algorithm for computing
    a Euclidean minimum spanning tree of N points in E3. In d≥4 dimensions we obtain
    expected time O((nm)1-1/([d/2]+1)+ε+m log n+n log m) for the bichromatic closest
    pair problem and O(N2-2/([d/2]+1)ε) for the Euclidean minimum spanning tree problem,
    for any positive e{open}.
acknowledgement: The first, second, and fourth authors acknowledge support from the
  Center for Discrete Mathematics and Theoretical Computer Science (DIMACS), a National
  Science Foundation Science and Technology Center under NSF Grant STC 88-09648. The
  second author's work was supported by the National Science Foundation under Grant
  CCR-8714565. The third author's work was supported by the Deutsche Forschungsgemeinschaft
  under Grant A1 253/1-3, Schwerpunktprogramm "Datenstrukturen und effiziente Algorithmen."
  The last two authors' work was also partially supported by the ESPRIT II Basic Research
  Action of the EC under Contract No. 3075 (project ALCOM).
article_processing_charge: No
article_type: original
author:
- first_name: Pankaj
  full_name: Agarwal, Pankaj
  last_name: Agarwal
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Otfried
  full_name: Schwarzkopf, Otfried
  last_name: Schwarzkopf
- first_name: Emo
  full_name: Welzl, Emo
  last_name: Welzl
citation:
  ama: Agarwal P, Edelsbrunner H, Schwarzkopf O, Welzl E. Euclidean minimum spanning
    trees and bichromatic closest pairs. <i>Discrete &#38; Computational Geometry</i>.
    1991;6(1):407-422. doi:<a href="https://doi.org/10.1007/BF02574698">10.1007/BF02574698</a>
  apa: Agarwal, P., Edelsbrunner, H., Schwarzkopf, O., &#38; Welzl, E. (1991). Euclidean
    minimum spanning trees and bichromatic closest pairs. <i>Discrete &#38; Computational
    Geometry</i>. Springer. <a href="https://doi.org/10.1007/BF02574698">https://doi.org/10.1007/BF02574698</a>
  chicago: Agarwal, Pankaj, Herbert Edelsbrunner, Otfried Schwarzkopf, and Emo Welzl.
    “Euclidean Minimum Spanning Trees and Bichromatic Closest Pairs.” <i>Discrete
    &#38; Computational Geometry</i>. Springer, 1991. <a href="https://doi.org/10.1007/BF02574698">https://doi.org/10.1007/BF02574698</a>.
  ieee: P. Agarwal, H. Edelsbrunner, O. Schwarzkopf, and E. Welzl, “Euclidean minimum
    spanning trees and bichromatic closest pairs,” <i>Discrete &#38; Computational
    Geometry</i>, vol. 6, no. 1. Springer, pp. 407–422, 1991.
  ista: Agarwal P, Edelsbrunner H, Schwarzkopf O, Welzl E. 1991. Euclidean minimum
    spanning trees and bichromatic closest pairs. Discrete &#38; Computational Geometry.
    6(1), 407–422.
  mla: Agarwal, Pankaj, et al. “Euclidean Minimum Spanning Trees and Bichromatic Closest
    Pairs.” <i>Discrete &#38; Computational Geometry</i>, vol. 6, no. 1, Springer,
    1991, pp. 407–22, doi:<a href="https://doi.org/10.1007/BF02574698">10.1007/BF02574698</a>.
  short: P. Agarwal, H. Edelsbrunner, O. Schwarzkopf, E. Welzl, Discrete &#38; Computational
    Geometry 6 (1991) 407–422.
date_created: 2018-12-11T12:06:42Z
date_published: 1991-12-01T00:00:00Z
date_updated: 2022-02-24T15:06:41Z
day: '01'
doi: 10.1007/BF02574698
extern: '1'
intvolume: '         6'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://link.springer.com/article/10.1007/BF02574698
month: '12'
oa: 1
oa_version: Published Version
page: 407 - 422
publication: Discrete & Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer
publist_id: '2062'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Euclidean minimum spanning trees and bichromatic closest pairs
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 6
year: '1991'
...
---
_id: '4062'
abstract:
- lang: eng
  text: We prove that for any set S of n points in the plane and n3-α triangles spanned
    by the points in S there exists a point (not necessarily in S) contained in at
    least n3-3α/(c log5 n) of the triangles. This implies that any set of n points
    in three-dimensional space defines at most {Mathematical expression} halving planes.
acknowledgement: "Work on this paper by Boris Aronov and Rephael Wenger has been supported
  by DIMACS under NSF Grant STC-88-09648. Work on this paper by Bernard Chazelle has
  been supported by NSF Grant CCR-87-00917. Work by Herbert Edelsbrunner has been
  supported by NSF Grant CCR-87-14565. Micha Sharir has been supported by ONR Grant
  N00014-87-K-0129, by NSF Grant CCR-89-01484, and by grants from the U.S.-Israeli
  Binational Science Foundation, the Israeli National Council for Research and Development,
  and the Fund for Basic Research administered by the Israeli\r\nAcademy of Sciences"
article_processing_charge: No
article_type: original
author:
- first_name: Boris
  full_name: Aronov, Boris
  last_name: Aronov
- 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
- first_name: Rephael
  full_name: Wenger, Rephael
  last_name: Wenger
citation:
  ama: Aronov B, Chazelle B, Edelsbrunner H, Guibas L, Sharir M, Wenger R. Points
    and triangles in the plane and halving planes in space. <i>Discrete &#38; Computational
    Geometry</i>. 1991;6(1):435-442. doi:<a href="https://doi.org/10.1007/BF02574700">10.1007/BF02574700</a>
  apa: Aronov, B., Chazelle, B., Edelsbrunner, H., Guibas, L., Sharir, M., &#38; Wenger,
    R. (1991). Points and triangles in the plane and halving planes in space. <i>Discrete
    &#38; Computational Geometry</i>. Springer. <a href="https://doi.org/10.1007/BF02574700">https://doi.org/10.1007/BF02574700</a>
  chicago: Aronov, Boris, Bernard Chazelle, Herbert Edelsbrunner, Leonidas Guibas,
    Micha Sharir, and Rephael Wenger. “Points and Triangles in the Plane and Halving
    Planes in Space.” <i>Discrete &#38; Computational Geometry</i>. Springer, 1991.
    <a href="https://doi.org/10.1007/BF02574700">https://doi.org/10.1007/BF02574700</a>.
  ieee: B. Aronov, B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, and R. Wenger,
    “Points and triangles in the plane and halving planes in space,” <i>Discrete &#38;
    Computational Geometry</i>, vol. 6, no. 1. Springer, pp. 435–442, 1991.
  ista: Aronov B, Chazelle B, Edelsbrunner H, Guibas L, Sharir M, Wenger R. 1991.
    Points and triangles in the plane and halving planes in space. Discrete &#38;
    Computational Geometry. 6(1), 435–442.
  mla: Aronov, Boris, et al. “Points and Triangles in the Plane and Halving Planes
    in Space.” <i>Discrete &#38; Computational Geometry</i>, vol. 6, no. 1, Springer,
    1991, pp. 435–42, doi:<a href="https://doi.org/10.1007/BF02574700">10.1007/BF02574700</a>.
  short: B. Aronov, B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, R. Wenger,
    Discrete &#38; Computational Geometry 6 (1991) 435–442.
date_created: 2018-12-11T12:06:43Z
date_published: 1991-12-01T00:00:00Z
date_updated: 2022-02-24T15:39:25Z
day: '01'
doi: 10.1007/BF02574700
extern: '1'
intvolume: '         6'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://link.springer.com/article/10.1007/BF02574700
month: '12'
oa: 1
oa_version: Published Version
page: 435 - 442
publication: Discrete & Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer
publist_id: '2063'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Points and triangles in the plane and halving planes in space
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 6
year: '1991'
...
---
_id: '4508'
abstract:
- lang: eng
  text: 'We extend the specification language of temporal logic, the corresponding
    verification framework, and the underlying computational model to deal with real-time
    properties of concurrent and reactive systems. A global, discrete, and asynchronous
    clock is incorporated into the model by defining the abstract notion of a real-time
    transition system as a conservative extension of traditional transition systems:
    qualitative fairness requirements are replaced (and superseded) by quantitative
    lower-bound and upperbound real-time requirements for transitions. We show how
    to model real-time systems that communicate either through shared variables or
    by message passing, and how to represent the important real-time constructs of
    priorities (interrupts), scheduling, and timeouts in this framework. Two styles
    for the specification of real-time properties are presented. The first style uses
    bounded versions of the temporal operators; the real-time requirements expressed
    in this style are classified ...'
acknowledgement: 'This research was supported in part by an IBM graduate fellowship,
  by the National Science Foundation grants CCR-89-11512 and CC R-89-13641, by the
  Defense Advanced Re-search Projects Agency under contract NOO03%84C-0211, by the
  United States Air Force Office of Scientific Research un-der contract AFOSR-W-0057,
  and by the European Community ESPRIT Basic Research Action project 3096 (SPEC).
  We thank Rajeev Alur for many helpful discussions. '
article_processing_charge: No
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Zohar
  full_name: Manna, Zohar
  last_name: Manna
- first_name: Amir
  full_name: Pnueli, Amir
  last_name: Pnueli
citation:
  ama: 'Henzinger TA, Manna Z, Pnueli A. Temporal proof methodologies for real-time
    systems. In: <i>Proceedings of the 18th ACM SIGPLAN-SIGACT Symposium on Principles
    of Programming Languages</i>. ACM; 1991:353-366. doi:<a href="https://doi.org/10.1145/99583.99629">10.1145/99583.99629</a>'
  apa: 'Henzinger, T. A., Manna, Z., &#38; Pnueli, A. (1991). Temporal proof methodologies
    for real-time systems. In <i>Proceedings of the 18th ACM SIGPLAN-SIGACT symposium
    on Principles of programming languages</i> (pp. 353–366). Orlando, FL, United
    States of America: ACM. <a href="https://doi.org/10.1145/99583.99629">https://doi.org/10.1145/99583.99629</a>'
  chicago: Henzinger, Thomas A, Zohar Manna, and Amir Pnueli. “Temporal Proof Methodologies
    for Real-Time Systems.” In <i>Proceedings of the 18th ACM SIGPLAN-SIGACT Symposium
    on Principles of Programming Languages</i>, 353–66. ACM, 1991. <a href="https://doi.org/10.1145/99583.99629">https://doi.org/10.1145/99583.99629</a>.
  ieee: T. A. Henzinger, Z. Manna, and A. Pnueli, “Temporal proof methodologies for
    real-time systems,” in <i>Proceedings of the 18th ACM SIGPLAN-SIGACT symposium
    on Principles of programming languages</i>, Orlando, FL, United States of America,
    1991, pp. 353–366.
  ista: 'Henzinger TA, Manna Z, Pnueli A. 1991. Temporal proof methodologies for real-time
    systems. Proceedings of the 18th ACM SIGPLAN-SIGACT symposium on Principles of
    programming languages. POPL: Principles of Programming Languages, 353–366.'
  mla: Henzinger, Thomas A., et al. “Temporal Proof Methodologies for Real-Time Systems.”
    <i>Proceedings of the 18th ACM SIGPLAN-SIGACT Symposium on Principles of Programming
    Languages</i>, ACM, 1991, pp. 353–66, doi:<a href="https://doi.org/10.1145/99583.99629">10.1145/99583.99629</a>.
  short: T.A. Henzinger, Z. Manna, A. Pnueli, in:, Proceedings of the 18th ACM SIGPLAN-SIGACT
    Symposium on Principles of Programming Languages, ACM, 1991, pp. 353–366.
conference:
  end_date: 1991-01-23
  location: Orlando, FL, United States of America
  name: 'POPL: Principles of Programming Languages'
  start_date: 1991-01-21
date_created: 2018-12-11T12:09:13Z
date_published: 1991-01-01T00:00:00Z
date_updated: 2022-02-24T14:44:39Z
day: '01'
doi: 10.1145/99583.99629
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://dl.acm.org/doi/10.1145/99583.99629
month: '01'
oa_version: None
page: 353 - 366
publication: Proceedings of the 18th ACM SIGPLAN-SIGACT symposium on Principles of
  programming languages
publication_identifier:
  isbn:
  - 978-0-89791-419-2
publication_status: published
publisher: ACM
publist_id: '221'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Temporal proof methodologies for real-time systems
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1991'
...
---
_id: '4516'
abstract:
- lang: eng
  text: We extend the specification language of temporal logic, the corresponding
    verification framework, and the underlying computational model to deal with real-time
    properties of reactive systems. Semantics We introduce the abstract computational
    model of timed transition systems as a conservative extension of traditional transition
    systems qualitative fairness requirements are superseded by quantitative real-time
    constraints on the transitions. Digital clocks are introduced as observers of
    continuous real-time behavior. We justify our semantical abstractions by demonstrating
    that a wide variety of concrete real-time systems can be modeled adequately. Specification
    We present two conservative extensions of temporal logic that allow for the specification
    of timing constraints while timed temporal logic provides access to time through
    a novel kind of time quantifier, metric temporal logic refers to time through
    time-bounded versions of the temporal operators. We justify our choice of specification
    languages by developing a general framework for the classification of real-time
    logics according to their complexity and expressive power. Verification We develop
    tools for determining if a real-time system that is modeled as a timed transition
    system meets a specification that is given in timed temporal logic or in metric
    temporal logic. We present both model-checking algorithms for the automatic verification
    of finite-state real-time systems and proof methods for the deductive verification
    of real-time systems.
article_processing_charge: No
author:
- 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: Henzinger TA. The temporal specification and verification of real-time systems
    . 1991.
  apa: Henzinger, T. A. (1991). <i>The temporal specification and verification of
    real-time systems </i>. Stanford University.
  chicago: Henzinger, Thomas A. “The Temporal Specification and Verification of Real-Time
    Systems .” Stanford University, 1991.
  ieee: T. A. Henzinger, “The temporal specification and verification of real-time
    systems ,” Stanford University, 1991.
  ista: Henzinger TA. 1991. The temporal specification and verification of real-time
    systems . Stanford University.
  mla: Henzinger, Thomas A. <i>The Temporal Specification and Verification of Real-Time
    Systems </i>. Stanford University, 1991.
  short: T.A. Henzinger, The Temporal Specification and Verification of Real-Time
    Systems , Stanford University, 1991.
date_created: 2018-12-11T12:09:15Z
date_published: 1991-08-30T00:00:00Z
date_updated: 2022-02-24T14:12:36Z
day: '30'
degree_awarded: PhD
extern: '1'
language:
- iso: eng
main_file_link:
- url: http://pub.ist.ac.at/~tah/Publications/the_temporal_specification_and_verification_of_real-time_systems.pdf
month: '08'
oa_version: None
page: '295'
publication_status: published
publisher: Stanford University
publist_id: '210'
status: public
title: 'The temporal specification and verification of real-time systems '
type: dissertation
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1991'
...
---
_id: '4592'
article_processing_charge: No
article_type: letter_note
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. Time for logic. <i>SIGACT News</i>. 1991;22(3):6-12.
  apa: Alur, R., &#38; Henzinger, T. A. (1991). Time for logic. <i>SIGACT News</i>.
    ACM.
  chicago: Alur, Rajeev, and Thomas A Henzinger. “Time for Logic.” <i>SIGACT News</i>.
    ACM, 1991.
  ieee: R. Alur and T. A. Henzinger, “Time for logic,” <i>SIGACT News</i>, vol. 22,
    no. 3. ACM, pp. 6–12, 1991.
  ista: Alur R, Henzinger TA. 1991. Time for logic. SIGACT News. 22(3), 6–12.
  mla: Alur, Rajeev, and Thomas A. Henzinger. “Time for Logic.” <i>SIGACT News</i>,
    vol. 22, no. 3, ACM, 1991, pp. 6–12.
  short: R. Alur, T.A. Henzinger, SIGACT News 22 (1991) 6–12.
date_created: 2018-12-11T12:09:39Z
date_published: 1991-01-01T00:00:00Z
date_updated: 2022-02-24T13:54:10Z
day: '01'
extern: '1'
intvolume: '        22'
issue: '3'
language:
- iso: eng
main_file_link:
- url: https://dl.acm.org/toc/sigact/1991/22/1
month: '01'
oa_version: None
page: 6 - 12
publication: SIGACT News
publication_identifier:
  issn:
  - 0163-5700
publication_status: published
publisher: ACM
publist_id: '113'
quality_controlled: '1'
status: public
title: Time for logic
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 22
year: '1991'
...
---
_id: '4621'
abstract:
- lang: eng
  text: The  most  natural,  compositional,  way  of  modeling  real-time  systems  uses  a  dense
    domain  for  time.  The  satisfiability  of  timing  constraints  that  are  capable  of  expressing  punctuality
    in  this  model,  however,  is  known  to  be  undecidable.  We  introduce  a  temporal  language  that  can
    constrain  the  time  difference  between  events  only  with  finite,  yet  arbitrary,  precision  and  show  the
    resulting  logic  to  be  EXPSPACE-complete.  This  result  allows  us  to  develop  an  algorithm  for  the
    verification  of  timing  properties  of  real-time  systems  with  a  dense  semantics.
acknowledgement: 'We  wish  to  thank  an  anonymous  referee  for  pointing  out
  the  PSPACE-fragment  of  Section  4.5.  T. A. Henzinger was supported in part by
  the Office of Naval Research Young Investigator award NOOO14-95-l-0520, by the National
  Science Foundation CAREER award CCR 9501708, by the National Science Foundation
  grants CCR 92-00794 and CCR 9504469, by the Air Force Office of Scientific Research
  contract F49620-93-l-0056, and by the Advanced Research Projects Agency grant NAG2-892. '
article_processing_charge: No
author:
- first_name: Rajeev
  full_name: Alur, Rajeev
  last_name: Alur
- first_name: Tomás
  full_name: Feder, Tomás
  last_name: Feder
- 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, Feder T, Henzinger TA. The benefits of relaxing punctuality. In: <i>Proceedings
    of the 10th Annual ACM Symposium on Principles of Distributed Computing</i>. ACM;
    1991:139-152. doi:<a href="https://doi.org/10.1145/227595.227602">10.1145/227595.227602</a>'
  apa: 'Alur, R., Feder, T., &#38; Henzinger, T. A. (1991). The benefits of relaxing
    punctuality. In <i>Proceedings of the 10th Annual ACM Symposium on Principles
    of Distributed Computing</i> (pp. 139–152). Montreal, Canada: ACM. <a href="https://doi.org/10.1145/227595.227602">https://doi.org/10.1145/227595.227602</a>'
  chicago: Alur, Rajeev, Tomás Feder, and Thomas A Henzinger. “The Benefits of Relaxing
    Punctuality.” In <i>Proceedings of the 10th Annual ACM Symposium on Principles
    of Distributed Computing</i>, 139–52. ACM, 1991. <a href="https://doi.org/10.1145/227595.227602">https://doi.org/10.1145/227595.227602</a>.
  ieee: R. Alur, T. Feder, and T. A. Henzinger, “The benefits of relaxing punctuality,”
    in <i>Proceedings of the 10th Annual ACM Symposium on Principles of Distributed
    Computing</i>, Montreal, Canada, 1991, pp. 139–152.
  ista: 'Alur R, Feder T, Henzinger TA. 1991. The benefits of relaxing punctuality.
    Proceedings of the 10th Annual ACM Symposium on Principles of Distributed Computing.
    PODC: Principles of Distributed Computing, 139–152.'
  mla: Alur, Rajeev, et al. “The Benefits of Relaxing Punctuality.” <i>Proceedings
    of the 10th Annual ACM Symposium on Principles of Distributed Computing</i>, ACM,
    1991, pp. 139–52, doi:<a href="https://doi.org/10.1145/227595.227602">10.1145/227595.227602</a>.
  short: R. Alur, T. Feder, T.A. Henzinger, in:, Proceedings of the 10th Annual ACM
    Symposium on Principles of Distributed Computing, ACM, 1991, pp. 139–152.
conference:
  end_date: 1991-08-21
  location: Montreal, Canada
  name: 'PODC: Principles of Distributed Computing'
  start_date: 1991-08-19
date_created: 2018-12-11T12:09:48Z
date_published: 1991-01-01T00:00:00Z
date_updated: 2022-02-24T13:27:20Z
day: '01'
doi: 10.1145/227595.227602
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://dl.acm.org/doi/10.1145/227595.227602
month: '01'
oa_version: None
page: 139 - 152
publication: Proceedings of the 10th Annual ACM Symposium on Principles of Distributed
  Computing
publication_identifier:
  isbn:
  - 978-0-89791-439-0
publication_status: published
publisher: ACM
publist_id: '86'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The benefits of relaxing punctuality
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1991'
...
---
_id: '2482'
abstract:
- lang: eng
  text: The complementary DNA of a metabotropic glutamate receptor coupled to inositol
    phosphate/Ca2+ signal transduction has been cloned and characterized. This receptor
    shows no sequence similarity to conventional G protein-coupled receptors and has
    a unique structure with large hydrophilic sequences at both sides of seven putative
    membrane-spanning domains. Abundant expression of this messenger RNA is observed
    in neuronal cells in hippocampal dentate gyrus and CA2-3 and in cerebellar Purkinje
    cells, suggesting the importance of this receptor in specific hippocampal and
    cerebellar functions.
article_processing_charge: No
article_type: original
author:
- first_name: Masayuki
  full_name: Masu, Masayuki
  last_name: Masu
- first_name: Yasuto
  full_name: Tanabe, Yasuto
  last_name: Tanabe
- 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: Shigetada
  full_name: Nakanishi, Shigetada
  last_name: Nakanishi
citation:
  ama: Masu M, Tanabe Y, Tsuchida K, Shigemoto R, Nakanishi S. Sequence and expression
    of a metabotropic glutamate receptor. <i>Nature</i>. 1991;349(6312):760-765. doi:<a
    href="https://doi.org/10.1038/349760a0">10.1038/349760a0</a>
  apa: Masu, M., Tanabe, Y., Tsuchida, K., Shigemoto, R., &#38; Nakanishi, S. (1991).
    Sequence and expression of a metabotropic glutamate receptor. <i>Nature</i>. Nature
    Publishing Group. <a href="https://doi.org/10.1038/349760a0">https://doi.org/10.1038/349760a0</a>
  chicago: Masu, Masayuki, Yasuto Tanabe, Kunihiro Tsuchida, Ryuichi Shigemoto, and
    Shigetada Nakanishi. “Sequence and Expression of a Metabotropic Glutamate Receptor.”
    <i>Nature</i>. Nature Publishing Group, 1991. <a href="https://doi.org/10.1038/349760a0">https://doi.org/10.1038/349760a0</a>.
  ieee: M. Masu, Y. Tanabe, K. Tsuchida, R. Shigemoto, and S. Nakanishi, “Sequence
    and expression of a metabotropic glutamate receptor,” <i>Nature</i>, vol. 349,
    no. 6312. Nature Publishing Group, pp. 760–765, 1991.
  ista: Masu M, Tanabe Y, Tsuchida K, Shigemoto R, Nakanishi S. 1991. Sequence and
    expression of a metabotropic glutamate receptor. Nature. 349(6312), 760–765.
  mla: Masu, Masayuki, et al. “Sequence and Expression of a Metabotropic Glutamate
    Receptor.” <i>Nature</i>, vol. 349, no. 6312, Nature Publishing Group, 1991, pp.
    760–65, doi:<a href="https://doi.org/10.1038/349760a0">10.1038/349760a0</a>.
  short: M. Masu, Y. Tanabe, K. Tsuchida, R. Shigemoto, S. Nakanishi, Nature 349 (1991)
    760–765.
date_created: 2018-12-11T11:57:55Z
date_published: 1991-02-28T00:00:00Z
date_updated: 2022-03-03T15:37:36Z
day: '28'
doi: 10.1038/349760a0
extern: '1'
external_id:
  pmid:
  - '1847995 '
intvolume: '       349'
issue: '6312'
language:
- iso: eng
main_file_link:
- url: https://www.nature.com/articles/349760a0
month: '02'
oa_version: None
page: 760 - 765
pmid: 1
publication: Nature
publication_identifier:
  eissn:
  - 1476-4687
  issn:
  - 0028-0836
publication_status: published
publisher: Nature Publishing Group
publist_id: '4419'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sequence and expression of a metabotropic glutamate receptor
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 349
year: '1991'
...
---
_id: '2483'
abstract:
- lang: eng
  text: A complementary DNA encoding the rat NMDA receptor has been cloned and characterized.
    The single protein encoded by the cDNA forms a receptor-channel complex that has
    electrophysiological and pharmacological properties characteristic of the NMDA
    receptor. This protein has a significant sequence similarity to the AMPA/kainate
    receptors and contains four putative transmembrane segments following a large
    extracellular domain. The NMDA receptor messenger RNA is expressed in neuronal
    cells throughout the brain regions, particularly in the hippocampus, cerebral
    cortex and cerebellum.
article_processing_charge: No
article_type: original
author:
- first_name: Koki
  full_name: Moriyoshi, Koki
  last_name: Moriyoshi
- first_name: Masayuki
  full_name: Masu, Masayuki
  last_name: Masu
- first_name: Takahiro
  full_name: Ishii, Takahiro
  last_name: Ishii
- 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
- first_name: Shigetada
  full_name: Nakanishi, Shigetada
  last_name: Nakanishi
citation:
  ama: Moriyoshi K, Masu M, Ishii T, Shigemoto R, Mizuno N, Nakanishi S. Molecular
    cloning and characterization of the rat NMDA receptor. <i>Nature</i>. 1991;353(6348):31-37.
    doi:<a href="https://doi.org/10.1038/354031a0">10.1038/354031a0</a>
  apa: Moriyoshi, K., Masu, M., Ishii, T., Shigemoto, R., Mizuno, N., &#38; Nakanishi,
    S. (1991). Molecular cloning and characterization of the rat NMDA receptor. <i>Nature</i>.
    Nature Publishing Group. <a href="https://doi.org/10.1038/354031a0">https://doi.org/10.1038/354031a0</a>
  chicago: Moriyoshi, Koki, Masayuki Masu, Takahiro Ishii, Ryuichi Shigemoto, Noboru
    Mizuno, and Shigetada Nakanishi. “Molecular Cloning and Characterization of the
    Rat NMDA Receptor.” <i>Nature</i>. Nature Publishing Group, 1991. <a href="https://doi.org/10.1038/354031a0">https://doi.org/10.1038/354031a0</a>.
  ieee: K. Moriyoshi, M. Masu, T. Ishii, R. Shigemoto, N. Mizuno, and S. Nakanishi,
    “Molecular cloning and characterization of the rat NMDA receptor,” <i>Nature</i>,
    vol. 353, no. 6348. Nature Publishing Group, pp. 31–37, 1991.
  ista: Moriyoshi K, Masu M, Ishii T, Shigemoto R, Mizuno N, Nakanishi S. 1991. Molecular
    cloning and characterization of the rat NMDA receptor. Nature. 353(6348), 31–37.
  mla: Moriyoshi, Koki, et al. “Molecular Cloning and Characterization of the Rat
    NMDA Receptor.” <i>Nature</i>, vol. 353, no. 6348, Nature Publishing Group, 1991,
    pp. 31–37, doi:<a href="https://doi.org/10.1038/354031a0">10.1038/354031a0</a>.
  short: K. Moriyoshi, M. Masu, T. Ishii, R. Shigemoto, N. Mizuno, S. Nakanishi, Nature
    353 (1991) 31–37.
date_created: 2018-12-11T11:57:56Z
date_published: 1991-11-07T00:00:00Z
date_updated: 2022-03-03T15:25:04Z
day: '07'
doi: 10.1038/354031a0
extern: '1'
external_id:
  pmid:
  - '1834949'
intvolume: '       353'
issue: '6348'
language:
- iso: eng
main_file_link:
- url: https://www.nature.com/articles/354031a0
month: '11'
oa_version: None
page: 31 - 37
pmid: 1
publication: Nature
publication_identifier:
  eissn:
  - 1476-4687
  issn:
  - 0028-0836
publication_status: published
publisher: Nature Publishing Group
publist_id: '4418'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Molecular cloning and characterization of the rat NMDA receptor
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 353
year: '1991'
...
---
_id: '2529'
abstract:
- lang: eng
  text: 'The distribution of cerebral cortical neurons sending projection fibers to
    the nucleus of the solitary tract (NST), and the topographical distribution of
    axon terminals of cortico-NST fibers within the NST were examined in the cat by
    two sets of experiments with horseradish peroxidase (HRP) and HRP conjugated with
    wheat germ agglutinin (WGA-HRP). First, HRP was injected into the NST. In the
    cerebral cortex of these cats, neuronal cell bodies were labeled retrogradely
    in the deep pyramidal cell layer (layer V): After HRP injection centered on the
    rostral or middle part of the NST, HRP-labeled neuronal cell bodies were distributed
    mainly in the orbital gyrus and caudal part of the intralimbic cortex, and additionally
    in the rostral part of the anterior sylvian gyrus. After HRP injection centered
    on the caudal part of the NST, labeled neuronal cell bodies were seen mainly in
    the caudoventral part of the intralimbic cortex, and additionally in the orbital
    gyrus, posterior sigmoid gyrus and rostral part of the anterior sylvian gyrus.
    The labeling in the intralimbic cortex, orbital gyrus and anterior sylvian gyrus
    was bilateral with a predominantly ipsilateral distribution, while that in the
    posterior sigmoid gyrus was bilateral with a clear-cut contralateral dominance.
    In the second set of experiments, WGA-HRP was injected into the cerebral cortical
    regions where neuronal cell bodies had been retrogradely labeled with HRP injected
    into the NST: after WGA-HRP injection into the orbital gyrus, presumed axon terminals
    in the NST were labeled in the rostral two thirds of the nucleus bilaterally with
    an ipsilateral predominance. After WGA-HRP injection into the rostral part of
    the anterior sylvian gyrus, a moderate number of presumed axon terminals were
    labeled throughout the whole rostrocaudal extent of the NST bilaterally with a
    slight ipsilateral dominance. After WGA-HRP injection into the middle and caudal
    parts of the anterior sylvian gyrus, no labeling was found in the NST. After WGA-HRP
    injection into the caudal part of the intralimbic cortex, presumed terminal labeling
    in the NST was seen throughout the whole rostrocaudal extent of the nucleus bilaterally
    with a dominant ipsilateral distribution. After WGA-HRP injection into the posterior
    sigmoid gyrus, however, no terminal labeling was found in the NST. The results
    indicate that cortico-NST fibers from the orbital gyrus terminate in the rostral
    two thirds of the NST, while those from the intralimbic cortex and the rostral
    part of the anterior sylvian gyrus project to the whole rostrocaudal extent of
    the NST.'
article_processing_charge: No
article_type: original
author:
- first_name: Yukihiko
  full_name: Yasui, Yukihiko
  last_name: Yasui
- first_name: Kazuo
  full_name: Itoh, Kazuo
  last_name: Itoh
- 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: Noboru
  full_name: Mizuno, Noboru
  last_name: Mizuno
citation:
  ama: Yasui Y, Itoh K, Kaneko T, Shigemoto R, Mizuno N. Topographical projections
    from the cerebral cortex to the nucleus of the solitary tract in the cat. <i>Experimental
    Brain Research</i>. 1991;85(1):75-84. doi:<a href="https://doi.org/10.1007/BF00229988">10.1007/BF00229988</a>
  apa: Yasui, Y., Itoh, K., Kaneko, T., Shigemoto, R., &#38; Mizuno, N. (1991). Topographical
    projections from the cerebral cortex to the nucleus of the solitary tract in the
    cat. <i>Experimental Brain Research</i>. Springer. <a href="https://doi.org/10.1007/BF00229988">https://doi.org/10.1007/BF00229988</a>
  chicago: Yasui, Yukihiko, Kazuo Itoh, Takeshi Kaneko, Ryuichi Shigemoto, and Noboru
    Mizuno. “Topographical Projections from the Cerebral Cortex to the Nucleus of
    the Solitary Tract in the Cat.” <i>Experimental Brain Research</i>. Springer,
    1991. <a href="https://doi.org/10.1007/BF00229988">https://doi.org/10.1007/BF00229988</a>.
  ieee: Y. Yasui, K. Itoh, T. Kaneko, R. Shigemoto, and N. Mizuno, “Topographical
    projections from the cerebral cortex to the nucleus of the solitary tract in the
    cat,” <i>Experimental Brain Research</i>, vol. 85, no. 1. Springer, pp. 75–84,
    1991.
  ista: Yasui Y, Itoh K, Kaneko T, Shigemoto R, Mizuno N. 1991. Topographical projections
    from the cerebral cortex to the nucleus of the solitary tract in the cat. Experimental
    Brain Research. 85(1), 75–84.
  mla: Yasui, Yukihiko, et al. “Topographical Projections from the Cerebral Cortex
    to the Nucleus of the Solitary Tract in the Cat.” <i>Experimental Brain Research</i>,
    vol. 85, no. 1, Springer, 1991, pp. 75–84, doi:<a href="https://doi.org/10.1007/BF00229988">10.1007/BF00229988</a>.
  short: Y. Yasui, K. Itoh, T. Kaneko, R. Shigemoto, N. Mizuno, Experimental Brain
    Research 85 (1991) 75–84.
date_created: 2018-12-11T11:58:12Z
date_published: 1991-05-01T00:00:00Z
date_updated: 2022-03-03T15:16:05Z
day: '01'
doi: 10.1007/BF00229988
extern: '1'
external_id:
  pmid:
  - '1715827'
intvolume: '        85'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/article/10.1007/BF00229988
month: '05'
oa_version: None
page: 75 - 84
pmid: 1
publication: Experimental Brain Research
publication_identifier:
  eissn:
  - 1432-1106
  issn:
  - 0014-4819
publication_status: published
publisher: Springer
publist_id: '4370'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Topographical projections from the cerebral cortex to the nucleus of the solitary
  tract in the cat
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 85
year: '1991'
...
---
_id: '2530'
article_processing_charge: No
author:
- first_name: Shigetada
  full_name: Nakanishi, Shigetada
  last_name: Nakanishi
- first_name: Hiroaki
  full_name: Ohkubo, Hiroaki
  last_name: Ohkubo
- first_name: Akira
  full_name: Kakizuka, Akira
  last_name: Kakizuka
- first_name: Yoshifumi
  full_name: Yokota, Yoshifumi
  last_name: Yokota
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Yoshiki
  full_name: Sasai, Yoshiki
  last_name: Sasai
- first_name: Toru
  full_name: Takumi, Toru
  last_name: Takumi
citation:
  ama: 'Nakanishi S, Ohkubo H, Kakizuka A, et al. Molecular characterization of mammalian
    tachykinin receptors and a possible epithelial potassium channel. In: <i>Recent
    Progress in Hormone Research</i>. Vol 46. The Endocrine Society; 1991:59-83. doi:<a
    href="https://doi.org/10.1016/b978-0-12-571146-3.50007-9">10.1016/b978-0-12-571146-3.50007-9</a>'
  apa: Nakanishi, S., Ohkubo, H., Kakizuka, A., Yokota, Y., Shigemoto, R., Sasai,
    Y., &#38; Takumi, T. (1991). Molecular characterization of mammalian tachykinin
    receptors and a possible epithelial potassium channel. In <i>Recent Progress in
    Hormone Research</i> (Vol. 46, pp. 59–83). The Endocrine Society. <a href="https://doi.org/10.1016/b978-0-12-571146-3.50007-9">https://doi.org/10.1016/b978-0-12-571146-3.50007-9</a>
  chicago: Nakanishi, Shigetada, Hiroaki Ohkubo, Akira Kakizuka, Yoshifumi Yokota,
    Ryuichi Shigemoto, Yoshiki Sasai, and Toru Takumi. “Molecular Characterization
    of Mammalian Tachykinin Receptors and a Possible Epithelial Potassium Channel.”
    In <i>Recent Progress in Hormone Research</i>, 46:59–83. The Endocrine Society,
    1991. <a href="https://doi.org/10.1016/b978-0-12-571146-3.50007-9">https://doi.org/10.1016/b978-0-12-571146-3.50007-9</a>.
  ieee: S. Nakanishi <i>et al.</i>, “Molecular characterization of mammalian tachykinin
    receptors and a possible epithelial potassium channel,” in <i>Recent Progress
    in Hormone Research</i>, vol. 46, The Endocrine Society, 1991, pp. 59–83.
  ista: 'Nakanishi S, Ohkubo H, Kakizuka A, Yokota Y, Shigemoto R, Sasai Y, Takumi
    T. 1991.Molecular characterization of mammalian tachykinin receptors and a possible
    epithelial potassium channel. In: Recent Progress in Hormone Research. vol. 46,
    59–83.'
  mla: Nakanishi, Shigetada, et al. “Molecular Characterization of Mammalian Tachykinin
    Receptors and a Possible Epithelial Potassium Channel.” <i>Recent Progress in
    Hormone Research</i>, vol. 46, The Endocrine Society, 1991, pp. 59–83, doi:<a
    href="https://doi.org/10.1016/b978-0-12-571146-3.50007-9">10.1016/b978-0-12-571146-3.50007-9</a>.
  short: S. Nakanishi, H. Ohkubo, A. Kakizuka, Y. Yokota, R. Shigemoto, Y. Sasai,
    T. Takumi, in:, Recent Progress in Hormone Research, The Endocrine Society, 1991,
    pp. 59–83.
date_created: 2018-12-11T11:58:13Z
date_published: 1991-01-01T00:00:00Z
date_updated: 2022-03-03T14:59:24Z
day: '01'
doi: 10.1016/b978-0-12-571146-3.50007-9
extern: '1'
external_id:
  pmid:
  - '2177908 '
intvolume: '        46'
language:
- iso: eng
main_file_link:
- url: https://www.sciencedirect.com/science/article/pii/B9780125711463500079
month: '01'
oa_version: None
page: 59 - 83
pmid: 1
publication: Recent Progress in Hormone Research
publication_identifier:
  isbn:
  - 978-0-12-571148-7
publication_status: published
publisher: The Endocrine Society
publist_id: '4369'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Molecular characterization of mammalian tachykinin receptors and a possible
  epithelial potassium channel
type: book_chapter
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 46
year: '1991'
...
---
_id: '3467'
abstract:
- lang: eng
  text: The effects of mast cell degranulating peptide (MCDP), a toxin from the honey
    bee, and of dendrotoxin (DTX), a toxin from the green mamba snake, were studied
    in voltage-clamped experiments with myelinated nerve fibres of Xenopus. MCDP and
    DTX blocked part of the K+ current. About 20% of the K+ current, however, was
    resistant to the toxins even in high concentrations. In Ringer solution half-maximal
    block was reached with concentrations of 33 nM MCDP and 11 nM DTX. In high-K+
    solution the potency of both toxins was lower. β-Bungarotoxin (β-BuTX), another
    snake toxin, also blocked part of the K+ current, but was less potent than MCDP
    and DTX. Tail currents in high-K+ solution were analysed and three K+ current
    components were separated according to Dubois (1981b). Both MCDP and DTX selectively
    blocked a fast deactivating, slowly inactivating K+ current component which steeply
    activates between E = -60 mV and E = -40 mV (component f1). In concentrations
    around 100 nM, MCDP and DTX blocked neither the slow K+ current (component s)
    nor the fast deactivating, rapidly inactivating K+ current which activates between
    E = -40 mV and E = 20 mV (component f2). Similar results could be derived from
    K+ outward currents in Ringer solution. In high-K+, IC50 of MCDP for component
    f1 was 99 nM, whereas it was 7.6 μM for f2. Corresponding values for DTX are 68
    nM and 1.8 μM. Binding studies with nerve fibre membranes of Xenopus reveal high-affinity
    binding sites for 125I-labelled DTX )K(D) = 22 pM in Ringer solution and 81 pM
    in high-K+ solution). 125I-labelled DTX can be displaced from its sites completely
    by unlabelled DTX, toxin I (black mamba toxin), MCDP, and partially by β-BuTX.
    Immunocytochemical staining demonstrates that binding sites for DTX are present
    in nodal and paranodal regions of the axonal membrane. The axonal membrane of
    motor and sensory nerve fibres is equipped with three types of well-characterized
    K+ channels and constitutes so far the best preparation to study MCDP- and DTX-sensitive
    K+ channels with electrophysiological and biochemical methods.
acknowledgement: "We thank Professor E. Habermann for critical reading of the manuscript
  and E. Schmidt and J. Schafer for technical assistance. Financial support by the
  Deutsche Forschungsgemeinschaft (Vo 188/13-1 and SFB 249) is gratefully acknowledged.\r\n"
article_processing_charge: No
article_type: original
author:
- first_name: Michael
  full_name: Bräu, Michael
  last_name: Bräu
- first_name: Florian
  full_name: Dreyer, Florian
  last_name: Dreyer
- first_name: Peter M
  full_name: Jonas, Peter M
  id: 353C1B58-F248-11E8-B48F-1D18A9856A87
  last_name: Jonas
  orcid: 0000-0001-5001-4804
- first_name: Holger
  full_name: Repp, Holger
  last_name: Repp
- first_name: Werner
  full_name: Vogel, Werner
  last_name: Vogel
citation:
  ama: 'Bräu M, Dreyer F, Jonas PM, Repp H, Vogel W. A K+ channel in Xenopus nerve
    fibres selectively blocked by bee and snake toxins: binding and voltage-clamp
    experiments. <i>Journal of Physiology</i>. 1990;420:365-385. doi:<a href="https://doi.org/10.1113/jphysiol.1990.sp017918">10.1113/jphysiol.1990.sp017918</a>'
  apa: 'Bräu, M., Dreyer, F., Jonas, P. M., Repp, H., &#38; Vogel, W. (1990). A K+
    channel in Xenopus nerve fibres selectively blocked by bee and snake toxins: binding
    and voltage-clamp experiments. <i>Journal of Physiology</i>. Wiley-Blackwell.
    <a href="https://doi.org/10.1113/jphysiol.1990.sp017918">https://doi.org/10.1113/jphysiol.1990.sp017918</a>'
  chicago: 'Bräu, Michael, Florian Dreyer, Peter M Jonas, Holger Repp, and Werner
    Vogel. “A K+ Channel in Xenopus Nerve Fibres Selectively Blocked by Bee and Snake
    Toxins: Binding and Voltage-Clamp Experiments.” <i>Journal of Physiology</i>.
    Wiley-Blackwell, 1990. <a href="https://doi.org/10.1113/jphysiol.1990.sp017918">https://doi.org/10.1113/jphysiol.1990.sp017918</a>.'
  ieee: 'M. Bräu, F. Dreyer, P. M. Jonas, H. Repp, and W. Vogel, “A K+ channel in
    Xenopus nerve fibres selectively blocked by bee and snake toxins: binding and
    voltage-clamp experiments,” <i>Journal of Physiology</i>, vol. 420. Wiley-Blackwell,
    pp. 365–385, 1990.'
  ista: 'Bräu M, Dreyer F, Jonas PM, Repp H, Vogel W. 1990. A K+ channel in Xenopus
    nerve fibres selectively blocked by bee and snake toxins: binding and voltage-clamp
    experiments. Journal of Physiology. 420, 365–385.'
  mla: 'Bräu, Michael, et al. “A K+ Channel in Xenopus Nerve Fibres Selectively Blocked
    by Bee and Snake Toxins: Binding and Voltage-Clamp Experiments.” <i>Journal of
    Physiology</i>, vol. 420, Wiley-Blackwell, 1990, pp. 365–85, doi:<a href="https://doi.org/10.1113/jphysiol.1990.sp017918">10.1113/jphysiol.1990.sp017918</a>.'
  short: M. Bräu, F. Dreyer, P.M. Jonas, H. Repp, W. Vogel, Journal of Physiology
    420 (1990) 365–385.
date_created: 2018-12-11T12:03:29Z
date_published: 1990-01-01T00:00:00Z
date_updated: 2022-02-23T16:10:03Z
day: '01'
doi: 10.1113/jphysiol.1990.sp017918
extern: '1'
external_id:
  pmid:
  - '2324990'
intvolume: '       420'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1190055/
month: '01'
oa: 1
oa_version: None
page: 365 - 385
pmid: 1
publication: Journal of Physiology
publication_identifier:
  eissn:
  - 1469-7793
  issn:
  - 0022-3751
publication_status: published
publisher: Wiley-Blackwell
publist_id: '2920'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'A K+ channel in Xenopus nerve fibres selectively blocked by bee and snake
  toxins: binding and voltage-clamp experiments'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 420
year: '1990'
...
---
_id: '3565'
abstract:
- lang: eng
  text: We investigate the complexity of determining the shape and presentation (i.e.
    position with orientation) of convex polytopes in multi-dimensional Euclidean
    space using a variety of probe models.
acknowledgement: "NSF Grant MCS-83-03926 and DCR-85-05517\r\nAmoco Foundation Faculty
  Development in Computer Science\r\nNSF Grant DCR-84-01633 and DCR-84-01898"
article_processing_charge: No
author:
- first_name: David
  full_name: Dobkin, David
  last_name: Dobkin
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Chee
  full_name: Yap, Chee
  last_name: Yap
citation:
  ama: 'Dobkin D, Edelsbrunner H, Yap C. Probing convex polytopes. In: Cox I, Wilfong
    G, eds. <i>Autonomous Robot Vehicles</i>. Springer; 1990:328-341. doi:<a href="https://doi.org/10.1007/978-1-4613-8997-2_25">10.1007/978-1-4613-8997-2_25</a>'
  apa: Dobkin, D., Edelsbrunner, H., &#38; Yap, C. (1990). Probing convex polytopes.
    In I. Cox &#38; G. Wilfong (Eds.), <i>Autonomous Robot Vehicles</i> (pp. 328–341).
    Springer. <a href="https://doi.org/10.1007/978-1-4613-8997-2_25">https://doi.org/10.1007/978-1-4613-8997-2_25</a>
  chicago: Dobkin, David, Herbert Edelsbrunner, and Chee Yap. “Probing Convex Polytopes.”
    In <i>Autonomous Robot Vehicles</i>, edited by Ingemar Cox and Gordon Wilfong,
    328–41. Springer, 1990. <a href="https://doi.org/10.1007/978-1-4613-8997-2_25">https://doi.org/10.1007/978-1-4613-8997-2_25</a>.
  ieee: D. Dobkin, H. Edelsbrunner, and C. Yap, “Probing convex polytopes,” in <i>Autonomous
    Robot Vehicles</i>, I. Cox and G. Wilfong, Eds. Springer, 1990, pp. 328–341.
  ista: 'Dobkin D, Edelsbrunner H, Yap C. 1990.Probing convex polytopes. In: Autonomous
    Robot Vehicles. , 328–341.'
  mla: Dobkin, David, et al. “Probing Convex Polytopes.” <i>Autonomous Robot Vehicles</i>,
    edited by Ingemar Cox and Gordon Wilfong, Springer, 1990, pp. 328–41, doi:<a href="https://doi.org/10.1007/978-1-4613-8997-2_25">10.1007/978-1-4613-8997-2_25</a>.
  short: D. Dobkin, H. Edelsbrunner, C. Yap, in:, I. Cox, G. Wilfong (Eds.), Autonomous
    Robot Vehicles, Springer, 1990, pp. 328–341.
date_created: 2018-12-11T12:03:59Z
date_published: 1990-01-01T00:00:00Z
date_updated: 2022-02-23T15:41:07Z
day: '01'
doi: 10.1007/978-1-4613-8997-2_25
editor:
- first_name: Ingemar
  full_name: Cox, Ingemar
  last_name: Cox
- first_name: Gordon
  full_name: Wilfong, Gordon
  last_name: Wilfong
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-1-4613-8997-2_25
month: '01'
oa_version: None
page: 328 - 341
publication: Autonomous Robot Vehicles
publication_identifier:
  isbn:
  - 978-1-4613-8997-2
publication_status: published
publisher: Springer
publist_id: '2820'
quality_controlled: '1'
status: public
title: Probing convex polytopes
type: book_chapter
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1990'
...
---
_id: '3649'
abstract:
- lang: eng
  text: Selection on polygenic characters is generally analyzed by statistical methods
    that assume a Gaussian (normal) distribution of breeding values. We present an
    alternative analysis based on multilocus population genetics. We use a general
    representation of selection, recombination, and drift to analyze an idealized
    polygenic system in which all genetic effects are additive (i.e., both dominance
    and epistasis are absent), but no assumptions are made about the distribution
    of breeding values or the numbers of loci or alleles. Our analysis produces three
    results. First, our equations reproduce the standard recursions for the mean and
    additive variance if breeding values are Gaussian; but they also reveal how non-Gaussian
    distributions of breeding values will alter these dynamics. Second, an approximation
    valid for weak selection shows that even if genetic variance is attributable to
    an effectively infinite number of loci with only additive effects, selection will
    generally drive the distribution of breeding values away from a Gaussian distribution
    by creating multilocus linkage disequilibria. Long-term dynamics of means can
    depart substantially from the predictions of the standard selection recursions,
    but the discrepancy may often be negligible for short-term selection. Third, by
    including mutation, we show that, for realistic parameter values, linkage disequilibrium
    has little effect on the amount of additive variance maintained at an equilibrium
    between stabilizing selection and mutation. Each of these analytical results is
    supported by numerical calculations.
acknowledgement: 'We thank R. Burger, J. A. Coyne, W. G. Hill, A. A. Hoffmann, J.
  H. Gillespie, M. Slatkin, T. Nagylaki and Z.-B. Zeng for helpful discussions and
  comments on earlier drafts. Our research is supported by grants from the National
  Science Foundation (BSR-8866548), the Science and Engineering Research Council,
  and the Institute of Theoretical Dynamics at UCD. '
article_processing_charge: No
article_type: original
author:
- first_name: Michael
  full_name: Turelli, Michael
  last_name: Turelli
- 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: Turelli M, Barton NH. Dynamics of polygenic characters under selection. <i>Theoretical
    Population Biology</i>. 1990;38(1):1-57. doi:<a href="https://doi.org/10.1016/0040-5809(90)90002-D">10.1016/0040-5809(90)90002-D</a>
  apa: Turelli, M., &#38; Barton, N. H. (1990). Dynamics of polygenic characters under
    selection. <i>Theoretical Population Biology</i>. Academic Press. <a href="https://doi.org/10.1016/0040-5809(90)90002-D">https://doi.org/10.1016/0040-5809(90)90002-D</a>
  chicago: Turelli, Michael, and Nicholas H Barton. “Dynamics of Polygenic Characters
    under Selection.” <i>Theoretical Population Biology</i>. Academic Press, 1990.
    <a href="https://doi.org/10.1016/0040-5809(90)90002-D">https://doi.org/10.1016/0040-5809(90)90002-D</a>.
  ieee: M. Turelli and N. H. Barton, “Dynamics of polygenic characters under selection,”
    <i>Theoretical Population Biology</i>, vol. 38, no. 1. Academic Press, pp. 1–57,
    1990.
  ista: Turelli M, Barton NH. 1990. Dynamics of polygenic characters under selection.
    Theoretical Population Biology. 38(1), 1–57.
  mla: Turelli, Michael, and Nicholas H. Barton. “Dynamics of Polygenic Characters
    under Selection.” <i>Theoretical Population Biology</i>, vol. 38, no. 1, Academic
    Press, 1990, pp. 1–57, doi:<a href="https://doi.org/10.1016/0040-5809(90)90002-D">10.1016/0040-5809(90)90002-D</a>.
  short: M. Turelli, N.H. Barton, Theoretical Population Biology 38 (1990) 1–57.
date_created: 2018-12-11T12:04:26Z
date_published: 1990-01-01T00:00:00Z
date_updated: 2022-02-23T14:48:49Z
day: '01'
doi: 10.1016/0040-5809(90)90002-D
extern: '1'
intvolume: '        38'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://www.sciencedirect.com/science/article/pii/004058099090002D?via%3Dihub
month: '01'
oa_version: None
page: 1 - 57
publication: Theoretical Population Biology
publication_identifier:
  issn:
  - 0040-5809
publication_status: published
publisher: Academic Press
publist_id: '2734'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dynamics of polygenic characters under selection
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 38
year: '1990'
...
---
_id: '3650'
abstract:
- lang: eng
  text: Hybrid zones can yield estimates of natural selection and gene flow. The width
    of a cline in gene frequency is approximately proportional to gene flow (σ) divided
    by the square root of per-locus selection ( &amp;s). Gene flow also causes gametic
    correlations (linkage disequilibria) between genes that differ across hybrid zones.
    Correlations are stronger when the hybrid zone is narrow, and rise to a maximum
    roughly equal to s. Thus cline width and gametic correlations combine to give
    estimates of gene flow and selection. These indirect measures of σ and s are especially
    useful because they can be made from collections, and require no field experiments.
    The method was applied to hybrid zones between color pattern races in a pair of
    Peruvian Heliconius butterfly species. The species are Mullerian mimics of one
    another, and both show the same changes in warning color pattern across their
    respective hybrid zones. The expectations of cline width and gametic correlation
    were generated using simulations of clines stabilized by strong frequency-dependent
    selection. In the hybrid zone in Heliconius erato, clines at three major color
    pattern loci were between 8.5 and 10.2 km wide, and the pairwise gametic correlations
    peaked at R &amp; 0.35. These measures suggest that s &amp; 0.23 per locus, and
    that σ &amp; 2.6 km. In erato, the shapes of the clines agreed with that expected
    on the basis of dominance. Heliconius melpomene has a nearly coincident hybrid
    zone. In this species, cline widths at four major color pattern loci varied between
    11.7 and 13.4 km. Pairwise gametic correlations peaked near R &amp; 1.00 for tightly
    linked genes, and at R &amp; 0.40 for unlinked genes, giving s &amp; 0.25 per
    locus and σ &amp; 3.7 km. In melpomene, cline shapes did not perfectly fit theoretical
    shapes based on dominance; this deviation might be explained by long-distance
    migration and/or strong epistasis. Compared with erato, sample sizes in melpomene
    are lower and the genetics of its color patterns are less well understood. In
    spite of these problems, selection and gene flow are clearly of the same order
    of magnitude in the two species. The relatively high per locus selection coefficients
    agree with ``major gene'' theories for the evolution of Mullerian mimicry, but
    the genetic architecture of the color patterns does not. These results show that
    the genetics and evolution of mimicry are still only sketchily understood.
acknowledgement: 'We thank the Natural Environmental Research Council, the Royal Society,
  the Nuffield Foundation, CONCYTEC, and Mrs. G. W. BORLASE for financial support,
  and the people of San Martin for their generous hospitality. We are very grateful
  to S. D. KNAPP, who helped by maintaining our sanity and rearing larvae. We are
  also grateful to an anonymous reviewer, A. W. PORTER, J. C. SCHNEIDER, M. TURELLI
  and C. E. WATSON for helpful comments on the manuscript. This paper was approved
  for publication as journal article no. 5-7255 of the Mississippi Agricultural and
  Forestry Experiment Station, Mississippi State University, project no. MIS-2 122. '
article_processing_charge: No
article_type: original
author:
- first_name: James
  full_name: Mallet, James
  last_name: Mallet
- 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: Gerado
  full_name: Lamas, Gerado
  last_name: Lamas
- first_name: José
  full_name: Santisteban, José
  last_name: Santisteban
- first_name: Manuel
  full_name: Muedas, Manuel
  last_name: Muedas
- first_name: Harriet
  full_name: Eeley, Harriet
  last_name: Eeley
citation:
  ama: Mallet J, Barton NH, Lamas G, Santisteban J, Muedas M, Eeley H. Estimates of
    selection and gene flow from measures of cline width and linkage disequilibrium
    in Heliconius hybrid zones. <i>Genetics</i>. 1990;124(4):921-936. doi:<a href="https://doi.org/10.1093/genetics/124.4.921">10.1093/genetics/124.4.921</a>
  apa: Mallet, J., Barton, N. H., Lamas, G., Santisteban, J., Muedas, M., &#38; Eeley,
    H. (1990). Estimates of selection and gene flow from measures of cline width and
    linkage disequilibrium in Heliconius hybrid zones. <i>Genetics</i>. Genetics Society
    of America. <a href="https://doi.org/10.1093/genetics/124.4.921">https://doi.org/10.1093/genetics/124.4.921</a>
  chicago: Mallet, James, Nicholas H Barton, Gerado Lamas, José Santisteban, Manuel
    Muedas, and Harriet Eeley. “Estimates of Selection and Gene Flow from Measures
    of Cline Width and Linkage Disequilibrium in Heliconius Hybrid Zones.” <i>Genetics</i>.
    Genetics Society of America, 1990. <a href="https://doi.org/10.1093/genetics/124.4.921">https://doi.org/10.1093/genetics/124.4.921</a>.
  ieee: J. Mallet, N. H. Barton, G. Lamas, J. Santisteban, M. Muedas, and H. Eeley,
    “Estimates of selection and gene flow from measures of cline width and linkage
    disequilibrium in Heliconius hybrid zones,” <i>Genetics</i>, vol. 124, no. 4.
    Genetics Society of America, pp. 921–936, 1990.
  ista: Mallet J, Barton NH, Lamas G, Santisteban J, Muedas M, Eeley H. 1990. Estimates
    of selection and gene flow from measures of cline width and linkage disequilibrium
    in Heliconius hybrid zones. Genetics. 124(4), 921–936.
  mla: Mallet, James, et al. “Estimates of Selection and Gene Flow from Measures of
    Cline Width and Linkage Disequilibrium in Heliconius Hybrid Zones.” <i>Genetics</i>,
    vol. 124, no. 4, Genetics Society of America, 1990, pp. 921–36, doi:<a href="https://doi.org/10.1093/genetics/124.4.921">10.1093/genetics/124.4.921</a>.
  short: J. Mallet, N.H. Barton, G. Lamas, J. Santisteban, M. Muedas, H. Eeley, Genetics
    124 (1990) 921–936.
date_created: 2018-12-11T12:04:26Z
date_published: 1990-04-01T00:00:00Z
date_updated: 2022-02-23T11:04:17Z
day: '01'
doi: 10.1093/genetics/124.4.921
extern: '1'
external_id:
  pmid:
  - '2323556'
intvolume: '       124'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1203983/
month: '04'
oa: 1
oa_version: Published Version
page: 921 - 936
pmid: 1
publication: Genetics
publication_identifier:
  issn:
  - 0016-6731
publication_status: published
publisher: Genetics Society of America
publist_id: '2733'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Estimates of selection and gene flow from measures of cline width and linkage
  disequilibrium in Heliconius hybrid zones
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 124
year: '1990'
...
---
_id: '3651'
abstract:
- lang: eng
  text: 'It is widely held that each gene typically affects many characters, and that
    each character is affected by many genes. Moreover, strong stabilizing selection
    cannot act on an indefinitely large number of independent traits. This makes it
    likely that heritable variation in any one trait is maintained as a side effect
    of polymorphisms which have nothing to do with selection on that trait. This paper
    examines the idea that variation is maintained as the pleiotropic side effect
    of either deleterious mutation, or balancing selection. If mutation is responsible,
    it must produce alleles which are only mildly deleterious (s &amp; 10(-3)), but
    nevertheless have significant effects on the trait. Balancing selection can readily
    maintain high heritabilities; however, selection must be spread over many weakly
    selected polymorphisms if large responses to artificial selection are to be possible.
    In both classes of pleiotropic model, extreme phenotypes are less fit, giving
    the appearance of stabilizing selection on the trait. However, it is shown that
    this effect is weak (of the same order as the selection on each gene): the strong
    stabilizing selection which is often observed is likely to be caused by correlations
    with a limited number of directly selected traits. Possible experiments for distinguishing
    the alternatives are discussed.'
acknowledgement: Thanks to JERRY COYNE, BILL HILL, LINDA PARTRIDGE, MICHAEL TURELLI,
  and two anonymous reviewers for their critical comments. This work was supported
  by grants from the National Science Foundation (BSR-8866548) the Science and Engineering
  Research Council (GR/E/08507), and by the Institute of Theoretical Dynamics, 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
citation:
  ama: Barton NH. Pleiotropic models of quantitative variation. <i>Genetics</i>. 1990;124(3):773-782.
    doi:<a href="https://doi.org/10.1093/genetics/124.3.773 ">10.1093/genetics/124.3.773
    </a>
  apa: Barton, N. H. (1990). Pleiotropic models of quantitative variation. <i>Genetics</i>.
    Genetics Society of America. <a href="https://doi.org/10.1093/genetics/124.3.773
    ">https://doi.org/10.1093/genetics/124.3.773 </a>
  chicago: Barton, Nicholas H. “Pleiotropic Models of Quantitative Variation.” <i>Genetics</i>.
    Genetics Society of America, 1990. <a href="https://doi.org/10.1093/genetics/124.3.773
    ">https://doi.org/10.1093/genetics/124.3.773 </a>.
  ieee: N. H. Barton, “Pleiotropic models of quantitative variation,” <i>Genetics</i>,
    vol. 124, no. 3. Genetics Society of America, pp. 773–782, 1990.
  ista: Barton NH. 1990. Pleiotropic models of quantitative variation. Genetics. 124(3),
    773–782.
  mla: Barton, Nicholas H. “Pleiotropic Models of Quantitative Variation.” <i>Genetics</i>,
    vol. 124, no. 3, Genetics Society of America, 1990, pp. 773–82, doi:<a href="https://doi.org/10.1093/genetics/124.3.773
    ">10.1093/genetics/124.3.773 </a>.
  short: N.H. Barton, Genetics 124 (1990) 773–782.
date_created: 2018-12-11T12:04:26Z
date_published: 1990-03-01T00:00:00Z
date_updated: 2022-02-23T10:41:43Z
day: '01'
doi: '10.1093/genetics/124.3.773 '
extern: '1'
external_id:
  pmid:
  - '2311921'
intvolume: '       124'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://academic.oup.com/genetics/article/124/3/773/5999956?login=true
month: '03'
oa: 1
oa_version: Published Version
page: 773 - 782
pmid: 1
publication: Genetics
publication_identifier:
  issn:
  - 0016-6731
publication_status: published
publisher: Genetics Society of America
publist_id: '2732'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Pleiotropic models of quantitative variation
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 124
year: '1990'
...
