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Thirty Essays on Geometric Graph Theory

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  • © 2013

Overview

  • Geometric graph theory is a fairly new discipline, which serves as a theoretical basis for information visualization and graph drawing

  • By mixing combinatorial, geometric, and topological methods, geometric graph theory has created an impressive toolbox for mathematicians and computer scientists

  • Contains 30 original survey and research papers on important recent developments in geometric graph theory

  • With contributions by leading researchers in this field

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Table of contents (32 chapters)

Keywords

About this book

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.

Editors and Affiliations

  • Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary

    János Pach

  • École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    János Pach

About the editor

János Pach is a mathematician and computer scientist with academic and research positions in the following institutions: École Polytechnique Fédérale de Lausanne,  Alfréd Rényi Institute of Mathematics at Hungarian Academy of Sciences, and Courant Institute of Mathematics at NYU.

Bibliographic Information

  • Book Title: Thirty Essays on Geometric Graph Theory

  • Editors: János Pach

  • DOI: https://doi.org/10.1007/978-1-4614-0110-0

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media New York 2013

  • Hardcover ISBN: 978-1-4614-0109-4Published: 14 December 2012

  • Softcover ISBN: 978-1-4939-0253-8Published: 28 January 2015

  • eBook ISBN: 978-1-4614-0110-0Published: 15 December 2012

  • Edition Number: 1

  • Number of Pages: XIV, 610

  • Topics: Discrete Mathematics, Geometry, Combinatorics

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