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Simplicial Complexes of Graphs

Simplicial Complexes of Graphs PDF Author: Jakob Jonsson
Publisher: Springer Science & Business Media
ISBN: 3540758585
Category : Mathematics
Languages : en
Pages : 376

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Book Description
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.