Introduction

János Pach ()
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János Pach: Ecole Polytechnique Fédérale de Lausanne

A chapter in Thirty Essays on Geometric Graph Theory, 2013, pp 1-4 from Springer

Abstract: Abstract In the mathematical literature, the term “geometric graph theory” is often used in a somewhat vague sense: to cover any area of graph theory in which geometric methods seem to be relevant to the study of graphs defined by geometric means. In the present volume, by a geometric graph we mean a graph drawn in the plane so that its vertices are represented by distinct points and its edges by (possibly crossing) straight-line segments between these points such that no edge passes through a vertex different from its endpoints. Topological graphs are defined analogously, except that their edges can be represented by simple Jordan arcs [17].

Keywords: Geometric Graph Theory; Simple Jordan Arc; Simple Topological Graph; Thrackle; Crossing-free Straight-line Drawing (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-0110-0_1

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DOI: 10.1007/978-1-4614-0110-0_1

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