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Mathematics - Geometry & Topology | Geometric Graphs and Arrangements - Some Chapters from Combinatorial Geometry

Geometric Graphs and Arrangements

Some Chapters from Combinatorial Geometry

Felsner, Stefan

Softcover reprint of the original 1st ed. 2004, X, 170 p.

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Among the intuitively appealing aspects of graph theory is its close connection to drawings and geometry. The development of computer technology has become a source of motivation to reconsider these connections, in particular geometric graphs are emerging as a new subfield of graph theory. Arrangements of points and lines are the objects for many challenging problems and surprising solutions in combinatorial geometry. The book is a collection of beautiful and partly very recent results from the intersection of geometry, graph theory and combinatorics.

Content Level » Upper undergraduate

Keywords » Combinatorial Problems - Geometrie - Graphentheorie - Kombinatorik - Schnyder Woods - Topological - Triangulations - Turán - k-Facets - k-Sets

Related subjects » Algebra - Geometry & Topology

Table of contents 

Geometric Graphs: Turán Problems - Schnyder Woods or How to Draw a Planar Graph? - Topological Graphs: Crossing Lemma and Applications- k-Sets and k-Facets - Combinatorial Problems for Sets of Points and Lines - Combinatorial Representations of Arrangements of Pseudolines - Triangulations and Flips - Rigidity and Pseudo-Triangulations

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