---
_id: '4103'
abstract:
- lang: eng
  text: Let A be an arrangement of n lines in the plane. Suppose F1,…, Fk are faces
    in the dissection induced by A and that Fi is a t(Fi)-gon. We give asymptotic
    bounds on the maximal sum ∑i=1kt(Fi) which can be realized by k different faces
    in an arrangement of n lines. The results improve known bounds for k of higher
    order than n(1/2).
acknowledgement: The second author thanks Gan Gusfield for useful discussion.
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: Emo
  full_name: Welzl, Emo
  last_name: Welzl
citation:
  ama: Edelsbrunner H, Welzl E. On the maximal number of edges of many faces in an
    arrangement. <i>Journal of Combinatorial Theory Series A</i>. 1986;41(2):159-166.
    doi:<a href="https://doi.org/10.1016/0097-3165(86)90078-6">10.1016/0097-3165(86)90078-6</a>
  apa: Edelsbrunner, H., &#38; Welzl, E. (1986). On the maximal number of edges of
    many faces in an arrangement. <i>Journal of Combinatorial Theory Series A</i>.
    Elsevier. <a href="https://doi.org/10.1016/0097-3165(86)90078-6">https://doi.org/10.1016/0097-3165(86)90078-6</a>
  chicago: Edelsbrunner, Herbert, and Emo Welzl. “On the Maximal Number of Edges of
    Many Faces in an Arrangement.” <i>Journal of Combinatorial Theory Series A</i>.
    Elsevier, 1986. <a href="https://doi.org/10.1016/0097-3165(86)90078-6">https://doi.org/10.1016/0097-3165(86)90078-6</a>.
  ieee: H. Edelsbrunner and E. Welzl, “On the maximal number of edges of many faces
    in an arrangement,” <i>Journal of Combinatorial Theory Series A</i>, vol. 41,
    no. 2. Elsevier, pp. 159–166, 1986.
  ista: Edelsbrunner H, Welzl E. 1986. On the maximal number of edges of many faces
    in an arrangement. Journal of Combinatorial Theory Series A. 41(2), 159–166.
  mla: Edelsbrunner, Herbert, and Emo Welzl. “On the Maximal Number of Edges of Many
    Faces in an Arrangement.” <i>Journal of Combinatorial Theory Series A</i>, vol.
    41, no. 2, Elsevier, 1986, pp. 159–66, doi:<a href="https://doi.org/10.1016/0097-3165(86)90078-6">10.1016/0097-3165(86)90078-6</a>.
  short: H. Edelsbrunner, E. Welzl, Journal of Combinatorial Theory Series A 41 (1986)
    159–166.
date_created: 2018-12-11T12:06:57Z
date_published: 1986-11-01T00:00:00Z
date_updated: 2022-02-01T09:46:55Z
day: '01'
doi: 10.1016/0097-3165(86)90078-6
extern: '1'
intvolume: '        41'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/0097316586900786?via%3Dihub
month: '11'
oa: 1
oa_version: Published Version
page: 159 - 166
publication: Journal of Combinatorial Theory Series A
publication_identifier:
  eissn:
  - 1096-0899
  issn:
  - 0097-3165
publication_status: published
publisher: Elsevier
publist_id: '2015'
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the maximal number of edges of many faces in an arrangement
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 41
year: '1986'
...
---
_id: '4116'
abstract:
- lang: eng
  text: 'A straight line that intersects all members of a set S of objects in the
    real plane is called a transversal of S. Geometric transforms are described that
    reduce transversal problems for various types of objects to convex hull problems
    for points. These reductions lead to efficient algorithms for finding transversals
    which are also described. Applications of the algorithms are found in computer
    graphics: “Reproduce the line displayed by a collection of pixels”, and in statistics:
    “Find the line that minimizes the maximum distance from a collection of (weighted)
    points in the plane”.'
acknowledgement: 'The author gratefully acknowledges the criticism of an anonymous
  referee who discovered a serious flaw in an earlier version of this paper. '
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. Finding Transversals for Sets of Simple Geometric-Figures.
    <i>Theoretical Computer Science</i>. 1985;35(1):55-69. doi:<a href="https://doi.org/10.1016/0304-3975(85)90005-2">10.1016/0304-3975(85)90005-2</a>
  apa: Edelsbrunner, H. (1985). Finding Transversals for Sets of Simple Geometric-Figures.
    <i>Theoretical Computer Science</i>. Elsevier. <a href="https://doi.org/10.1016/0304-3975(85)90005-2">https://doi.org/10.1016/0304-3975(85)90005-2</a>
  chicago: Edelsbrunner, Herbert. “Finding Transversals for Sets of Simple Geometric-Figures.”
    <i>Theoretical Computer Science</i>. Elsevier, 1985. <a href="https://doi.org/10.1016/0304-3975(85)90005-2">https://doi.org/10.1016/0304-3975(85)90005-2</a>.
  ieee: H. Edelsbrunner, “Finding Transversals for Sets of Simple Geometric-Figures,”
    <i>Theoretical Computer Science</i>, vol. 35, no. 1. Elsevier, pp. 55–69, 1985.
  ista: Edelsbrunner H. 1985. Finding Transversals for Sets of Simple Geometric-Figures.
    Theoretical Computer Science. 35(1), 55–69.
  mla: Edelsbrunner, Herbert. “Finding Transversals for Sets of Simple Geometric-Figures.”
    <i>Theoretical Computer Science</i>, vol. 35, no. 1, Elsevier, 1985, pp. 55–69,
    doi:<a href="https://doi.org/10.1016/0304-3975(85)90005-2">10.1016/0304-3975(85)90005-2</a>.
  short: H. Edelsbrunner, Theoretical Computer Science 35 (1985) 55–69.
date_created: 2018-12-11T12:07:02Z
date_published: 1985-01-01T00:00:00Z
date_updated: 2022-01-31T11:09:26Z
day: '01'
doi: 10.1016/0304-3975(85)90005-2
extern: '1'
intvolume: '        35'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/0304397585900052?via%3Dihub
month: '01'
oa: 1
oa_version: Published Version
page: 55 - 69
publication: Theoretical Computer Science
publication_identifier:
  eissn:
  - 0304-3975
  issn:
  - 0304-3975
publication_status: published
publisher: Elsevier
publist_id: '2008'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Finding Transversals for Sets of Simple Geometric-Figures
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 35
year: '1985'
...
---
_id: '4120'
abstract:
- lang: eng
  text: 'Let P be a set of n points in the Euclidean plane and let C be a convex figure.
    We study the problem of preprocessing P so that for any query point q, the points
    of P in C+q can be retrieved efficiently. If constant time sumces for deciding
    the inclusion of a point in C, we then demonstrate the existence of an optimal
    solution: the algorithm requires O(n) space and O(k + log n) time for a query
    with output size k. If C is a disk, the problem becomes the wellknown fixed-radius
    neighbour problem, to which we thus provide the first known optimal solution.'
acknowledgement: The first author was supported i~1 part by NSF grants MCS 83-03925
  and the Office of Naval Research and the Defense Advanced Research Projects Agency
  under contract N00014-g3-K-0146 and ARPA Order No. 4786.
article_processing_charge: No
article_type: original
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
citation:
  ama: Chazelle B, Edelsbrunner H. Optimal solutions for a class of point retrieval
    problems. <i>Journal of Symbolic Computation</i>. 1985;1(1):47-56. doi:<a href="https://doi.org/10.1016/S0747-7171(85)80028-6">10.1016/S0747-7171(85)80028-6</a>
  apa: Chazelle, B., &#38; Edelsbrunner, H. (1985). Optimal solutions for a class
    of point retrieval problems. <i>Journal of Symbolic Computation</i>. Elsevier.
    <a href="https://doi.org/10.1016/S0747-7171(85)80028-6">https://doi.org/10.1016/S0747-7171(85)80028-6</a>
  chicago: Chazelle, Bernard, and Herbert Edelsbrunner. “Optimal Solutions for a Class
    of Point Retrieval Problems.” <i>Journal of Symbolic Computation</i>. Elsevier,
    1985. <a href="https://doi.org/10.1016/S0747-7171(85)80028-6">https://doi.org/10.1016/S0747-7171(85)80028-6</a>.
  ieee: B. Chazelle and H. Edelsbrunner, “Optimal solutions for a class of point retrieval
    problems,” <i>Journal of Symbolic Computation</i>, vol. 1, no. 1. Elsevier, pp.
    47–56, 1985.
  ista: Chazelle B, Edelsbrunner H. 1985. Optimal solutions for a class of point retrieval
    problems. Journal of Symbolic Computation. 1(1), 47–56.
  mla: Chazelle, Bernard, and Herbert Edelsbrunner. “Optimal Solutions for a Class
    of Point Retrieval Problems.” <i>Journal of Symbolic Computation</i>, vol. 1,
    no. 1, Elsevier, 1985, pp. 47–56, doi:<a href="https://doi.org/10.1016/S0747-7171(85)80028-6">10.1016/S0747-7171(85)80028-6</a>.
  short: B. Chazelle, H. Edelsbrunner, Journal of Symbolic Computation 1 (1985) 47–56.
date_created: 2018-12-11T12:07:03Z
date_published: 1985-03-01T00:00:00Z
date_updated: 2022-01-31T09:20:18Z
day: '01'
doi: 10.1016/S0747-7171(85)80028-6
extern: '1'
intvolume: '         1'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/S0747717185800286?via%3Dihub
month: '03'
oa: 1
oa_version: Published Version
page: 47 - 56
publication: Journal of Symbolic Computation
publication_identifier:
  eissn:
  - 1095-855X
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier
publist_id: '2004'
quality_controlled: '1'
status: public
title: Optimal solutions for a class of point retrieval problems
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 1
year: '1985'
...
---
_id: '3667'
abstract:
- lang: eng
  text: Populations of the grasshopper Podisma pedestris were collected from two ends
    of a zone of hybridization between two chromosome races, at Seyne and Tende in
    southern France. 21 enzyme and protein loci were detected by gel electrophoresis.
    Six of these loci showed widespread polymorphism, and a further eleven had very
    little or no variation. Two loci (Idh, 6Pgd) had rare alleles in different frequencies
    in the two areas surveyed. The remaining two loci (Mdh-1, Mdh-2) showed a marked
    increase in the frequency of rare variants, from 1 per cent outside the hybrid
    zone, up to 5 per cent at its centre. This region of increased electrophoretic
    variation coincided with the chromosomal cline between the two races, and with
    a region of decreased viability. It was spread over about the same width as the
    chromosomal cline. Possible explanations for this extra variation include intragenic
    recombination and elevated mutation rates.
acknowledgement: We would like to thank Manse East, Lynda Flegg, and Sim Webb for
  their excellent technical assistance, and Prof. J. M. Thoday for helpful comments.
  Financial support was provided by a NERC Studentship to NHB, and a SRC grant to
  GMH.
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: Bruce
  full_name: Halliday, Bruce
  last_name: Halliday
- first_name: Godfrey
  full_name: Hewitt, Godfrey
  last_name: Hewitt
citation:
  ama: Barton NH, Halliday B, Hewitt G. Rare electrophoretic variants in a hybrid
    zone. <i>Heredity</i>. 1983;50(2):139-146. doi:<a href="https://doi.org/10.1038/hdy.1983.15">10.1038/hdy.1983.15</a>
  apa: Barton, N. H., Halliday, B., &#38; Hewitt, G. (1983). Rare electrophoretic
    variants in a hybrid zone. <i>Heredity</i>. Nature Publishing Group. <a href="https://doi.org/10.1038/hdy.1983.15">https://doi.org/10.1038/hdy.1983.15</a>
  chicago: Barton, Nicholas H, Bruce Halliday, and Godfrey Hewitt. “Rare Electrophoretic
    Variants in a Hybrid Zone.” <i>Heredity</i>. Nature Publishing Group, 1983. <a
    href="https://doi.org/10.1038/hdy.1983.15">https://doi.org/10.1038/hdy.1983.15</a>.
  ieee: N. H. Barton, B. Halliday, and G. Hewitt, “Rare electrophoretic variants in
    a hybrid zone,” <i>Heredity</i>, vol. 50, no. 2. Nature Publishing Group, pp.
    139–146, 1983.
  ista: Barton NH, Halliday B, Hewitt G. 1983. Rare electrophoretic variants in a
    hybrid zone. Heredity. 50(2), 139–146.
  mla: Barton, Nicholas H., et al. “Rare Electrophoretic Variants in a Hybrid Zone.”
    <i>Heredity</i>, vol. 50, no. 2, Nature Publishing Group, 1983, pp. 139–46, doi:<a
    href="https://doi.org/10.1038/hdy.1983.15">10.1038/hdy.1983.15</a>.
  short: N.H. Barton, B. Halliday, G. Hewitt, Heredity 50 (1983) 139–146.
date_created: 2018-12-11T12:04:31Z
date_published: 1983-04-01T00:00:00Z
date_updated: 2022-01-25T14:07:12Z
day: '01'
doi: 10.1038/hdy.1983.15
extern: '1'
intvolume: '        50'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.nature.com/articles/hdy198315
month: '04'
oa: 1
oa_version: Published Version
page: 139 - 146
publication: Heredity
publication_identifier:
  eissn:
  - 1365-2540
  issn:
  - 0018-067X
publication_status: published
publisher: Nature Publishing Group
publist_id: '2716'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Rare electrophoretic variants in a hybrid zone
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 50
year: '1983'
...
---
_id: '4330'
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. Gene flow and speciation (abstract). <i>Heredity</i>. 1983;50:213-213.
    doi:<a href="https://doi.org/10.1038/hdy.1983.24">10.1038/hdy.1983.24</a>
  apa: 'Barton, N. H. (1983). Gene flow and speciation (abstract). <i>Heredity</i>.
    University College of London: Springer Nature. <a href="https://doi.org/10.1038/hdy.1983.24">https://doi.org/10.1038/hdy.1983.24</a>'
  chicago: 'Barton, Nicholas H. “Gene Flow and Speciation (Abstract).” <i>Heredity</i>.
    University College of London: Springer Nature, 1983. <a href="https://doi.org/10.1038/hdy.1983.24">https://doi.org/10.1038/hdy.1983.24</a>.'
  ieee: N. H. Barton, “Gene flow and speciation (abstract),” <i>Heredity</i>, vol.
    50. Springer Nature, University College of London, pp. 213–213, 1983.
  ista: Barton NH. 1983. Gene flow and speciation (abstract). Heredity. 50, 213–213.
  mla: Barton, Nicholas H. “Gene Flow and Speciation (Abstract).” <i>Heredity</i>,
    vol. 50, Springer Nature, 1983, pp. 213–213, doi:<a href="https://doi.org/10.1038/hdy.1983.24">10.1038/hdy.1983.24</a>.
  short: N.H. Barton, Heredity 50 (1983) 213–213.
date_created: 2018-12-11T12:08:17Z
date_published: 1983-04-01T00:00:00Z
date_updated: 2022-01-21T12:38:10Z
day: '01'
doi: 10.1038/hdy.1983.24
extern: '1'
intvolume: '        50'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.nature.com/articles/hdy198324
month: '04'
oa: 1
oa_version: Published Version
page: 213 - 213
place: University College of London
publication: Heredity
publication_identifier:
  eissn:
  - 1365-2540
  issn:
  - 0018-067X
publication_status: published
publisher: Springer Nature
publist_id: '1704'
quality_controlled: '1'
status: public
title: Gene flow and speciation (abstract)
type: review
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 50
year: '1983'
...
---
_id: '3669'
abstract:
- lang: eng
  text: The dispersal rate of the grasshopper Podisma pedestris has been measured,
    with the aim of interpreting the width of a chromosomal cline. 171 adults were
    marked individually, and released within the cline. 169 movements were seen over
    three subsequent scorings; the distribution of distances, after correction for
    the loss of long distance dispersants, was close to a normal curve, but there
    was an initial shift of ten metres, perhaps towards a better habitat. The linear
    variance increased at about 214 m2 day- 1, which corresponds to a standard deviation
    of 207 m gen- 1/2 over a 20 day life span. Statistical uncertainty in this estimate
    can be expressed using a distribution-free maximum likelihood method, which gives
    support limits of 186- 270 m gen- 1/2. However, the main errors come from extrapolating
    from this experiment to the cline as a whole.
acknowledgement: "We are grateful for the help in the field of Bruce and Helen Halliday,
  James, Matthew, Daniel and Elizabeth Hewitt, and for the hospitality of M et Mme
  Aviotti. This work was supported by an N.E.R.C. Studentship to the first author,
  and an S.R.C. research grant to the second.\r\n"
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: Godfrey
  full_name: Hewitt, Godfrey
  last_name: Hewitt
citation:
  ama: 'Barton NH, Hewitt G. A measurement of dispersal in the grasshopper Podisma
    pedestris (Orthoptera: Acrididae). <i>Heredity</i>. 1982;48(2):237-249. doi:<a
    href="https://doi.org/10.1038/hdy.1982.29">10.1038/hdy.1982.29</a>'
  apa: 'Barton, N. H., &#38; Hewitt, G. (1982). A measurement of dispersal in the
    grasshopper Podisma pedestris (Orthoptera: Acrididae). <i>Heredity</i>. Springer
    Nature. <a href="https://doi.org/10.1038/hdy.1982.29">https://doi.org/10.1038/hdy.1982.29</a>'
  chicago: 'Barton, Nicholas H, and Godfrey Hewitt. “A Measurement of Dispersal in
    the Grasshopper Podisma Pedestris (Orthoptera: Acrididae).” <i>Heredity</i>. Springer
    Nature, 1982. <a href="https://doi.org/10.1038/hdy.1982.29">https://doi.org/10.1038/hdy.1982.29</a>.'
  ieee: 'N. H. Barton and G. Hewitt, “A measurement of dispersal in the grasshopper
    Podisma pedestris (Orthoptera: Acrididae),” <i>Heredity</i>, vol. 48, no. 2. Springer
    Nature, pp. 237–249, 1982.'
  ista: 'Barton NH, Hewitt G. 1982. A measurement of dispersal in the grasshopper
    Podisma pedestris (Orthoptera: Acrididae). Heredity. 48(2), 237–249.'
  mla: 'Barton, Nicholas H., and Godfrey Hewitt. “A Measurement of Dispersal in the
    Grasshopper Podisma Pedestris (Orthoptera: Acrididae).” <i>Heredity</i>, vol.
    48, no. 2, Springer Nature, 1982, pp. 237–49, doi:<a href="https://doi.org/10.1038/hdy.1982.29">10.1038/hdy.1982.29</a>.'
  short: N.H. Barton, G. Hewitt, Heredity 48 (1982) 237–249.
date_created: 2018-12-11T12:04:32Z
date_published: 1982-04-01T00:00:00Z
date_updated: 2022-01-21T12:31:06Z
day: '01'
doi: 10.1038/hdy.1982.29
extern: '1'
intvolume: '        48'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.nature.com/articles/hdy198229
month: '04'
oa: 1
oa_version: Published Version
page: 237 - 249
publication: Heredity
publication_identifier:
  eissn:
  - 1365-2540
  issn:
  - 0018-067X
publication_status: published
publisher: Springer Nature
publist_id: '2714'
quality_controlled: '1'
status: public
title: 'A measurement of dispersal in the grasshopper Podisma pedestris (Orthoptera:
  Acrididae)'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 48
year: '1982'
...
---
_id: '3671'
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 width of the hybrid zone in Caledia captiva. <i>Heredity</i>.
    1981;47:279-282. doi:<a href="https://doi.org/10.1038/hdy.1981.86">10.1038/hdy.1981.86</a>
  apa: Barton, N. H. (1981). The width of the hybrid zone in Caledia captiva. <i>Heredity</i>.
    Nature Publishing Group. <a href="https://doi.org/10.1038/hdy.1981.86">https://doi.org/10.1038/hdy.1981.86</a>
  chicago: Barton, Nicholas H. “The Width of the Hybrid Zone in Caledia Captiva.”
    <i>Heredity</i>. Nature Publishing Group, 1981. <a href="https://doi.org/10.1038/hdy.1981.86">https://doi.org/10.1038/hdy.1981.86</a>.
  ieee: N. H. Barton, “The width of the hybrid zone in Caledia captiva,” <i>Heredity</i>,
    vol. 47. Nature Publishing Group, pp. 279–282, 1981.
  ista: Barton NH. 1981. The width of the hybrid zone in Caledia captiva. Heredity.
    47, 279–282.
  mla: Barton, Nicholas H. “The Width of the Hybrid Zone in Caledia Captiva.” <i>Heredity</i>,
    vol. 47, Nature Publishing Group, 1981, pp. 279–82, doi:<a href="https://doi.org/10.1038/hdy.1981.86">10.1038/hdy.1981.86</a>.
  short: N.H. Barton, Heredity 47 (1981) 279–282.
date_created: 2018-12-11T12:04:32Z
date_published: 1981-10-01T00:00:00Z
date_updated: 2022-01-21T08:42:28Z
day: '01'
doi: 10.1038/hdy.1981.86
extern: '1'
intvolume: '        47'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.nature.com/articles/hdy198186
month: '10'
oa: 1
oa_version: Published Version
page: 279 - 282
publication: Heredity
publication_identifier:
  eissn:
  - 1365-2540
  issn:
  - 0018-067X
publication_status: published
publisher: Nature Publishing Group
publist_id: '2712'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The width of the hybrid zone in Caledia captiva
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 47
year: '1981'
...
---
_id: '4132'
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: Hermann
  full_name: Maurer, Hermann
  last_name: Maurer
citation:
  ama: Edelsbrunner H, Maurer H. On the intersection of Orthogonal objects. <i>Information
    Processing Letters</i>. 1981;13(4-5):177-181. doi:<a href="https://doi.org/10.1016/0020-0190(81)90053-3">10.1016/0020-0190(81)90053-3</a>
  apa: Edelsbrunner, H., &#38; Maurer, H. (1981). On the intersection of Orthogonal
    objects. <i>Information Processing Letters</i>. Elsevier. <a href="https://doi.org/10.1016/0020-0190(81)90053-3">https://doi.org/10.1016/0020-0190(81)90053-3</a>
  chicago: Edelsbrunner, Herbert, and Hermann Maurer. “On the Intersection of Orthogonal
    Objects.” <i>Information Processing Letters</i>. Elsevier, 1981. <a href="https://doi.org/10.1016/0020-0190(81)90053-3">https://doi.org/10.1016/0020-0190(81)90053-3</a>.
  ieee: H. Edelsbrunner and H. Maurer, “On the intersection of Orthogonal objects,”
    <i>Information Processing Letters</i>, vol. 13, no. 4–5. Elsevier, pp. 177–181,
    1981.
  ista: Edelsbrunner H, Maurer H. 1981. On the intersection of Orthogonal objects.
    Information Processing Letters. 13(4–5), 177–181.
  mla: Edelsbrunner, Herbert, and Hermann Maurer. “On the Intersection of Orthogonal
    Objects.” <i>Information Processing Letters</i>, vol. 13, no. 4–5, Elsevier, 1981,
    pp. 177–81, doi:<a href="https://doi.org/10.1016/0020-0190(81)90053-3">10.1016/0020-0190(81)90053-3</a>.
  short: H. Edelsbrunner, H. Maurer, Information Processing Letters 13 (1981) 177–181.
date_created: 2018-12-11T12:07:08Z
date_published: 1981-01-01T00:00:00Z
date_updated: 2021-12-16T08:38:40Z
day: '01'
doi: 10.1016/0020-0190(81)90053-3
extern: '1'
intvolume: '        13'
issue: 4-5
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/0020019081900533
month: '01'
oa: 1
oa_version: Published Version
page: 177 - 181
publication: Information Processing Letters
publication_identifier:
  issn:
  - 0020-0190
publication_status: published
publisher: Elsevier
publist_id: '1988'
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the intersection of Orthogonal objects
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 13
year: '1981'
...
---
_id: '4133'
abstract:
- lang: eng
  text: In 1979 Kirpatrick obtained a practically feasible algorithm for planar regionlocation
    working in linear space and logarithmic time, provided the regions are bounded
    by straight line segments. No algorithm requiring only linear space and log-polynomial
    time was known, so far, for general planar regionlocation, i.e. for the case where
    regions are bounded by curves more complicated than straight line segments. As
    main result of this paper such an algorithm is presented.
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: Hermann
  full_name: Maurer, Hermann
  last_name: Maurer
citation:
  ama: Edelsbrunner H, Maurer H. A space-optimal solution of general region location.
    <i>Theoretical Computer Science</i>. 1981;16(3):329-336. doi:<a href="https://doi.org/10.1016/0304-3975(81)90103-1">10.1016/0304-3975(81)90103-1</a>
  apa: Edelsbrunner, H., &#38; Maurer, H. (1981). A space-optimal solution of general
    region location. <i>Theoretical Computer Science</i>. Elsevier. <a href="https://doi.org/10.1016/0304-3975(81)90103-1">https://doi.org/10.1016/0304-3975(81)90103-1</a>
  chicago: Edelsbrunner, Herbert, and Hermann Maurer. “A Space-Optimal Solution of
    General Region Location.” <i>Theoretical Computer Science</i>. Elsevier, 1981.
    <a href="https://doi.org/10.1016/0304-3975(81)90103-1">https://doi.org/10.1016/0304-3975(81)90103-1</a>.
  ieee: H. Edelsbrunner and H. Maurer, “A space-optimal solution of general region
    location,” <i>Theoretical Computer Science</i>, vol. 16, no. 3. Elsevier, pp.
    329–336, 1981.
  ista: Edelsbrunner H, Maurer H. 1981. A space-optimal solution of general region
    location. Theoretical Computer Science. 16(3), 329–336.
  mla: Edelsbrunner, Herbert, and Hermann Maurer. “A Space-Optimal Solution of General
    Region Location.” <i>Theoretical Computer Science</i>, vol. 16, no. 3, Elsevier,
    1981, pp. 329–36, doi:<a href="https://doi.org/10.1016/0304-3975(81)90103-1">10.1016/0304-3975(81)90103-1</a>.
  short: H. Edelsbrunner, H. Maurer, Theoretical Computer Science 16 (1981) 329–336.
date_created: 2018-12-11T12:07:08Z
date_published: 1981-01-01T00:00:00Z
date_updated: 2021-12-16T09:03:47Z
day: '01'
doi: 10.1016/0304-3975(81)90103-1
extern: '1'
intvolume: '        16'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/0304397581901031
month: '01'
oa: 1
oa_version: Published Version
page: 329 - 336
publication: Theoretical Computer Science
publication_identifier:
  issn:
  - 0304-3975
publication_status: published
publisher: Elsevier
publist_id: '1989'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A space-optimal solution of general region location
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 16
year: '1981'
...
---
_id: '4333'
abstract:
- lang: eng
  text: Samples were taken from five sites in a transect across the hybrid zone between
    two chromosomal races of the grasshopper Podisma pedestris. Crosses were set up
    between insects from the same population, and between populations spanning the
    zone, and the early viability of the offspring was measured. Hybrids between pure
    populations had reduced viability, and the viability of insects from the middle
    of the zone was still lower, showing that most (87 per cent) of the inviability
    was due to the breakup of coadapated gene complexes. Although the total selection
    acting was strong (log. fitness reduced by S25), it was spread over a region wider
    than the dispersal range (350 m vs. 20 m). Hence, the selection on each locus
    contributing towards the inviability is weak (3 per cent). Many (150) independent
    chromosome segments act cumulatively to produce inviability at this stage in the
    life history. The implications of these findings for models of divergence are
    discussed.
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: Godfrey
  full_name: Hewitt, Godfrey
  last_name: Hewitt
citation:
  ama: Barton NH, Hewitt G. The genetic basis of hybrid inviability between two chromosomal
    races of the grasshopper Podisma pedestris. <i>Heredity</i>. 1981;47(3):367-383.
    doi:<a href="https://doi.org/10.1038/hdy.1981.98">10.1038/hdy.1981.98</a>
  apa: Barton, N. H., &#38; Hewitt, G. (1981). The genetic basis of hybrid inviability
    between two chromosomal races of the grasshopper Podisma pedestris. <i>Heredity</i>.
    Springer Nature. <a href="https://doi.org/10.1038/hdy.1981.98">https://doi.org/10.1038/hdy.1981.98</a>
  chicago: Barton, Nicholas H, and Godfrey Hewitt. “The Genetic Basis of Hybrid Inviability
    between Two Chromosomal Races of the Grasshopper Podisma Pedestris.” <i>Heredity</i>.
    Springer Nature, 1981. <a href="https://doi.org/10.1038/hdy.1981.98">https://doi.org/10.1038/hdy.1981.98</a>.
  ieee: N. H. Barton and G. Hewitt, “The genetic basis of hybrid inviability between
    two chromosomal races of the grasshopper Podisma pedestris,” <i>Heredity</i>,
    vol. 47, no. 3. Springer Nature, pp. 367–383, 1981.
  ista: Barton NH, Hewitt G. 1981. The genetic basis of hybrid inviability between
    two chromosomal races of the grasshopper Podisma pedestris. Heredity. 47(3), 367–383.
  mla: Barton, Nicholas H., and Godfrey Hewitt. “The Genetic Basis of Hybrid Inviability
    between Two Chromosomal Races of the Grasshopper Podisma Pedestris.” <i>Heredity</i>,
    vol. 47, no. 3, Springer Nature, 1981, pp. 367–83, doi:<a href="https://doi.org/10.1038/hdy.1981.98">10.1038/hdy.1981.98</a>.
  short: N.H. Barton, G. Hewitt, Heredity 47 (1981) 367–383.
date_created: 2018-12-11T12:08:18Z
date_published: 1981-12-01T00:00:00Z
date_updated: 2021-12-16T08:31:08Z
day: '01'
doi: 10.1038/hdy.1981.98
extern: '1'
intvolume: '        47'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.nature.com/articles/hdy198198
month: '12'
oa: 1
oa_version: Published Version
page: 367 - 383
publication: Heredity
publication_identifier:
  eissn:
  - 1365-2540
  issn:
  - 0018-067X
publication_status: published
publisher: Springer Nature
publist_id: '1703'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The genetic basis of hybrid inviability between two chromosomal races of the
  grasshopper Podisma pedestris
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 47
year: '1981'
...
---
_id: '3672'
acknowledgement: This work was supported by a grant from the Natural Environment Research
  Council.
article_processing_charge: No
article_type: letter_note
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 hybrid sink effect. <i>Heredity</i>. 1980;44:277-278. doi:<a
    href="https://doi.org/10.1038/hdy.1980.23">10.1038/hdy.1980.23</a>
  apa: Barton, N. H. (1980). The hybrid sink effect. <i>Heredity</i>. Springer Nature.
    <a href="https://doi.org/10.1038/hdy.1980.23">https://doi.org/10.1038/hdy.1980.23</a>
  chicago: Barton, Nicholas H. “The Hybrid Sink Effect.” <i>Heredity</i>. Springer
    Nature, 1980. <a href="https://doi.org/10.1038/hdy.1980.23">https://doi.org/10.1038/hdy.1980.23</a>.
  ieee: N. H. Barton, “The hybrid sink effect,” <i>Heredity</i>, vol. 44. Springer
    Nature, pp. 277–278, 1980.
  ista: Barton NH. 1980. The hybrid sink effect. Heredity. 44, 277–278.
  mla: Barton, Nicholas H. “The Hybrid Sink Effect.” <i>Heredity</i>, vol. 44, Springer
    Nature, 1980, pp. 277–78, doi:<a href="https://doi.org/10.1038/hdy.1980.23">10.1038/hdy.1980.23</a>.
  short: N.H. Barton, Heredity 44 (1980) 277–278.
date_created: 2018-12-11T12:04:33Z
date_published: 1980-04-01T00:00:00Z
date_updated: 2021-12-15T16:18:29Z
day: '01'
doi: 10.1038/hdy.1980.23
extern: '1'
intvolume: '        44'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.nature.com/articles/hdy198023
month: '04'
oa: 1
oa_version: Published Version
page: 277 - 278
publication: Heredity
publication_identifier:
  eissn:
  - 1365-2540
  issn:
  - 0018-067X
publication_status: published
publisher: Springer Nature
publist_id: '2711'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The hybrid sink effect
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 44
year: '1980'
...
---
_id: '4335'
abstract:
- lang: eng
  text: Genetic incompatibilities between two races of the grasshopper Podisma pedestris,
    which differ by a Robertsonian fusion involving the sex chromosome, have been
    investigated. Crosses were made between four populations spanning the chromosomal
    cline; F1 hybrids between the races, though not between separated populations
    of the same race, showed markedly reduced hatching success. Observations of the
    fate of chromosomes transplanted across the cline supported this finding. Crosses
    between grasshoppers from a mixed population in the cline showed a lower average
    hatching success, but no correlation of this inviability with the chromosomal
    polymorphism. The karyotypes of pre-diapause embryos from both types of cross
    gave no evidence for non-disjunction of the sex chromosome trivalent in heterozygous
    females; an upper limit of 16 per cent can be set on the non-disjunction rate.
    These findings suggest that the karyotypic difference is only a weakly selected
    marker for more fundamental changes in genotype.
acknowledgement: I would like to thank Dr G. M. Hewitt, and M. W. Shaw, for their
  help in collecting these samples, Mrs T. M. East for her help in rearing them, and
  M et Mme Aviotti for their hospitality in France. This work was supported by a N.E.R.C.
  studentship, and by an S.R.C. grant to Dr G. M. Hewitt.
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 fitness of hybrids between two chromosomal races of the grasshopper
    Podisma pedestris. <i>Heredity</i>. 1980;45:47-59. doi:<a href="https://doi.org/10.1038/hdy.1980.49">10.1038/hdy.1980.49</a>
  apa: Barton, N. H. (1980). The fitness of hybrids between two chromosomal races
    of the grasshopper Podisma pedestris. <i>Heredity</i>. Springer Nature. <a href="https://doi.org/10.1038/hdy.1980.49">https://doi.org/10.1038/hdy.1980.49</a>
  chicago: Barton, Nicholas H. “The Fitness of Hybrids between Two Chromosomal Races
    of the Grasshopper Podisma Pedestris.” <i>Heredity</i>. Springer Nature, 1980.
    <a href="https://doi.org/10.1038/hdy.1980.49">https://doi.org/10.1038/hdy.1980.49</a>.
  ieee: N. H. Barton, “The fitness of hybrids between two chromosomal races of the
    grasshopper Podisma pedestris,” <i>Heredity</i>, vol. 45. Springer Nature, pp.
    47–59, 1980.
  ista: Barton NH. 1980. The fitness of hybrids between two chromosomal races of the
    grasshopper Podisma pedestris. Heredity. 45, 47–59.
  mla: Barton, Nicholas H. “The Fitness of Hybrids between Two Chromosomal Races of
    the Grasshopper Podisma Pedestris.” <i>Heredity</i>, vol. 45, Springer Nature,
    1980, pp. 47–59, doi:<a href="https://doi.org/10.1038/hdy.1980.49">10.1038/hdy.1980.49</a>.
  short: N.H. Barton, Heredity 45 (1980) 47–59.
date_created: 2018-12-11T12:08:19Z
date_published: 1980-08-01T00:00:00Z
date_updated: 2021-12-15T15:46:48Z
day: '01'
doi: 10.1038/hdy.1980.49
extern: '1'
intvolume: '        45'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.nature.com/articles/hdy198049
month: '08'
oa: 1
oa_version: Published Version
page: 47 - 59
publication: Heredity
publication_identifier:
  eissn:
  - 1365-2540
  issn:
  - 0018-067X
publication_status: published
publisher: Springer Nature
publist_id: '1697'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The fitness of hybrids between two chromosomal races of the grasshopper Podisma
  pedestris
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 45
year: '1980'
...
---
_id: '3673'
abstract:
- lang: eng
  text: The effect of a cline as a barrier to gene flow at closely linked, weakly
    selected loci is investigated using a continuous diffusion model. It is shown
    that a linked cline induces a step in the frequency of a neutral allele, which
    is proportional to the gradient in neutral allele frequency and to the inverse
    of the recombination rate. A barrier to dispersal or a local region of low abundance
    has a similar effect (Nagylaki, 1976). The cline will block the flow of neutral
    alleles over a region of chromosome roughly 2s/t map units long. However, a slightly
    advantageous allele will be little affected, and must be very tightly linked to
    be delayed for long.
acknowledgement: "I would like to thank Dr G. M. Hewitt for stimulating discussions,
  and for his comments on the manuscript. This work was supported by the Natural Environmental
  Research Council.\r\n"
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. Gene flow past a cline. <i>Heredity</i>. 1979;43(3):333-339. doi:<a
    href="https://doi.org/10.1038/hdy.1979.86">10.1038/hdy.1979.86</a>
  apa: Barton, N. H. (1979). Gene flow past a cline. <i>Heredity</i>. Springer Nature.
    <a href="https://doi.org/10.1038/hdy.1979.86">https://doi.org/10.1038/hdy.1979.86</a>
  chicago: Barton, Nicholas H. “Gene Flow Past a Cline.” <i>Heredity</i>. Springer
    Nature, 1979. <a href="https://doi.org/10.1038/hdy.1979.86">https://doi.org/10.1038/hdy.1979.86</a>.
  ieee: N. H. Barton, “Gene flow past a cline,” <i>Heredity</i>, vol. 43, no. 3. Springer
    Nature, pp. 333–339, 1979.
  ista: Barton NH. 1979. Gene flow past a cline. Heredity. 43(3), 333–339.
  mla: Barton, Nicholas H. “Gene Flow Past a Cline.” <i>Heredity</i>, vol. 43, no.
    3, Springer Nature, 1979, pp. 333–39, doi:<a href="https://doi.org/10.1038/hdy.1979.86">10.1038/hdy.1979.86</a>.
  short: N.H. Barton, Heredity 43 (1979) 333–339.
date_created: 2018-12-11T12:04:33Z
date_published: 1979-12-01T00:00:00Z
date_updated: 2021-12-15T15:16:50Z
day: '01'
doi: 10.1038/hdy.1979.86
extern: '1'
intvolume: '        43'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.nature.com/articles/hdy197986
month: '12'
oa: 1
oa_version: Published Version
page: 333 - 339
publication: Heredity
publication_identifier:
  eissn:
  - 1365-2540
  issn:
  - 0018-067X
publication_status: published
publisher: Springer Nature
publist_id: '2710'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Gene flow past a cline
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 43
year: '1979'
...
---
_id: '4336'
abstract:
- lang: eng
  text: "This paper investigates the dynamic behaviour of hybrid zones which are maintained
    by a balance between dispersal and selection against hybrids. In the first section
    it is shown that a hybrid zone involving a single locus can move in response to
    a selective imbalance between the two homozygotes, and also to variation in population
    density and dispersal rate. It can be trapped by natural barriers, and so an allele
    which is selected against when rare cannot advance, even if it is advantageous
    when common. The continuous model used in deriving these results is shown to be
    a good approximation to the stepping-stone model, provided that the cline contains
    several demes.\r\n\r\nThe effect of stochastic forces on multi-locus hybrid zones
    is then considered. An expression giving the shift in position after an arbitrary
    perturbation in gamete frequency is derived. Using this formula, it is found that
    sampling drift is negligible unless the zone includes few organisms and involves
    few loci. Random variations in population structure are the dominant force, and
    could allow considerable movement in an even environment. However, natural barriers
    can still trap hybrid zones, and so it is likely that they will remain roughly
    where they first formed."
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 dynamics of hybrid zones. <i>Heredity</i>. 1979;43(3):341-359.
    doi:<a href="https://doi.org/10.1038/hdy.1979.87">10.1038/hdy.1979.87</a>
  apa: Barton, N. H. (1979). The dynamics of hybrid zones. <i>Heredity</i>. Springer
    Nature. <a href="https://doi.org/10.1038/hdy.1979.87">https://doi.org/10.1038/hdy.1979.87</a>
  chicago: Barton, Nicholas H. “The Dynamics of Hybrid Zones.” <i>Heredity</i>. Springer
    Nature, 1979. <a href="https://doi.org/10.1038/hdy.1979.87">https://doi.org/10.1038/hdy.1979.87</a>.
  ieee: N. H. Barton, “The dynamics of hybrid zones,” <i>Heredity</i>, vol. 43, no.
    3. Springer Nature, pp. 341–359, 1979.
  ista: Barton NH. 1979. The dynamics of hybrid zones. Heredity. 43(3), 341–359.
  mla: Barton, Nicholas H. “The Dynamics of Hybrid Zones.” <i>Heredity</i>, vol. 43,
    no. 3, Springer Nature, 1979, pp. 341–59, doi:<a href="https://doi.org/10.1038/hdy.1979.87">10.1038/hdy.1979.87</a>.
  short: N.H. Barton, Heredity 43 (1979) 341–359.
date_created: 2018-12-11T12:08:19Z
date_published: 1979-12-01T00:00:00Z
date_updated: 2021-12-15T09:29:59Z
day: '01'
doi: 10.1038/hdy.1979.87
extern: '1'
intvolume: '        43'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.nature.com/articles/hdy197987
month: '12'
oa: 1
oa_version: Published Version
page: 341 - 359
publication: Heredity
publication_identifier:
  eissn:
  - 1365-2540
  issn:
  - 0018-067X
publication_status: published
publisher: Springer Nature
publist_id: '1696'
quality_controlled: '1'
status: public
title: The dynamics of hybrid zones
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 43
year: '1979'
...
