An edition of Thirty Essays on Geometric Graph Theory (2012)

Thirty Essays on Geometric Graph Theory

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Cover of: Thirty Essays on Geometric Graph Theory by János Pach
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An edition of Thirty Essays on Geometric Graph Theory (2012)

Thirty Essays on Geometric Graph Theory

by

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In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface. The traditional methods of "abstract" graph theory are often incapable of providing satisfactory answers to questions arising in such applications. In the past couple of decades, many powerful new combinatorial and topological techniques have been developed to tackle these problems. Today geometric graph theory is a burgeoning field with many striking results and appealing open questions.

This contributed volume contains thirty original survey and research papers on important recent developments in geometric graph theory. The contributions were thoroughly reviewed and written by excellent researchers in this field.

Publish Date
Publisher
Springer New York, Imprint: Springer
Language
English
Pages
607

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Previews available in: English

Subjects
Geometry, Mathematics, Combinatorial analysis, Computer science, Graph theory, Combinatorial geometry, Data processing, Geometry, data processing, Géométrie combinatoire, Géométrie, Informatique, MATHEMATICS, Graphic Methods

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Cover of: Thirty Essays on Geometric Graph Theory
Thirty Essays on Geometric Graph Theory
Jan 28, 2015, Springer
paperback
Libraries near you: WorldCat
Cover of: Thirty Essays on Geometric Graph Theory
Thirty Essays on Geometric Graph Theory
2013, Springer New York, Imprint: Springer
electronic resource / in English
  • Not in Library
Libraries near you: WorldCat
Cover of: Thirty Essays on Geometric Graph Theory
Thirty Essays on Geometric Graph Theory
Dec 14, 2012, Springer
paperback
Libraries near you: WorldCat
Cover of: Thirty Essays on Geometric Graph Theory
Thirty Essays on Geometric Graph Theory
Dec 14, 2012, Springer
hardcover
Libraries near you: WorldCat

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Book Details

Table of Contents

<p>Introduction
1) B. Ábrego - S. Fernández-Merchant - G. Salazar: The rectilinear crossing number of K_n: closing in (or are we?)
2) E. Ackerman: The maximum number of tangencies among convex regions with a triangle-free intersection graph
3) G. Aloupis - B. Ballinger - S. Collette - S. Langerman - A. Pór - D.R.Wood: Blocking coloured point sets
4) M. Al-Jubeh - G. Barequet - M. Ishaque - D. Souvaine - Cs. D. Tóth - A. Winslow: Constrained tri-connected planar straight line graphs
5) S. Buzaglo - R. Pinchasi - G. Rote: Topological hypergraphs
6) J. Cano Vila - L. F. Barba - J. Urrutia - T. Sakai: On edge-disjoint empty triangles of point sets
7) J. Cibulka - J. Kynčl - V. Mészáros - R. Stolař - P. Valtr: Universal sets for straight-line embeddings of bicolored graphs
8) G. Di Battista - F. Frati: Drawing trees, outerplanar graphs, series-parallel graphs, and planar graphs in small area
^
9) W. Didimo - G. Liotta: The crossing angle resolution in graph drawing
10) A. Dumitrescu: Mover problems
11) S. Felsner: Rectangle and square representations of planar graphs
12) R. Fulek - N. Saeedi - D. Sariöz: Convex obstacle numbers of outerplanar graphs and bipartite permutation graphs
13) R. Fulek - M. Pelsmajer - M. Schaefer - D. Štefankovič: Hanani-Tutte, monotone drawings, and level-planarity
14) R. Fulek - A. Suk: On disjoint crossing families in geometric graphs
15) M. Hoffmann - A. Schulz - M. Sharir - A. Sheffer - Cs. D. Tóth - E. Welzl: Counting plane graphs: flippability and its applications
16) F. Hurtado - Cs. D. Tóth: Geometric graph augmentation: a generic perspective
17) M. Kano - K. Suzuki: Discrete geometry on red and blue points in the plane lattice
18) Gy. Károlyi: Ramsey-type problems for geometric graphs
^
^^
19) Ch. Keller - M. Perles - E. Rivera-Campo - V. Urrutia-Galicia: Blockers for non-crossing spanning trees in complete geometric graphs
20) A. V. Kostochka - K. G. Milans: Coloring clean and K_4-free circle graphs
21) F. Morić - D. Pritchard: Counting large distances in convex polygons: a computational approach
22) A. Raigorodskii: Coloring distance graphs and graphs of diameters
23) M. Schaefer: Realizability of graphs and linkages
24) C. Smyth: Equilateral sets in l_dp
25) A. Suk: A note on geometric 3-hypergraphs
26) K. Swanepoel: Favourite distances in high dimensions
27) M. Tancer: Intersection patterns of convex sets via simplicial complexes, a survey
28) G. Tardos: Construction of locally plane graphs with many edges
29) G. Tóth: A better bound for the pair-crossing number
30) U. Wagner: Minors, embeddability, and extremal problems for hypergraphs.</p>.
^^

Edition Notes

Published in
New York, NY

Classifications

Dewey Decimal Class
511.1
Library of Congress
QA150-272, QA166 .T55 2013, QA297.4, QA166 .T45 2013

The Physical Object

Format
[electronic resource] /
Pagination
XIII, 607 p. 251 illus., 46 illus. in color.
Number of pages
607

ID Numbers

Open Library
OL27092025M
Internet Archive
thirtyessaysonge00pach
ISBN 13
9781461401100
LCCN
2012952159
OCLC/WorldCat
822965725

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Internet Archive item record
Library of Congress MARC record
Better World Books record
Internet Archive item record

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September 7, 2022 Edited by ImportBot import existing book
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