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Simplicial Complexes of Graphs
Paperback
Series: Lecture Notes in Mathematics, Book 1928
ISBN13: 9783540758587
Publisher: Springer
Published: Nov 15 2007
Pages: 382
Weight: 1.25
Height: 0.90 Width: 6.10 Depth: 9.10
Language: English
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.
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