Simplicial Complexes of Graphs
Download or Read eBook Simplicial Complexes of Graphs PDF written by Jakob Jonsson and published by Springer Science & Business Media. This book was released on 2007-11-15 with total page 376 pages. Available in PDF, EPUB and Kindle.
Author | : Jakob Jonsson |
Publisher | : Springer Science & Business Media |
Total Pages | : 376 |
Release | : 2007-11-15 |
ISBN-10 | : 9783540758587 |
ISBN-13 | : 3540758585 |
Rating | : 4/5 (87 Downloads) |
Book Synopsis Simplicial Complexes of Graphs by : Jakob Jonsson
Book excerpt: 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.