Simplicial Complexes of Graphs

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A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics. Identifying each graph with its edge set, one may view a graph complex as a simplicial complex and hence interpret it as a geometric object. This volume examines topological properties of graph complexes, focusing on homotopy type and homology. Many of the proofs are based on Robin Forman's discrete version of Morse theory.

Simplicial Complexes of Graphs 2007, Springer, Berlin, Germany

ISBN-13: 9783540758587

2008 edition

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