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Könyv Simplicial Complexes of Graphs Jakob Jonsson

Simplicial Complexes of Graphs

Szerző: Jakob Jonsson
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
25 162 Ft
A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up...

Információk a könyvről

Szerző
Jakob Jonsson
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2007
oldal
382
EAN
9783540758587
ISBN
3540758585
Enbook ID
05275218
Kiadó
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Súly
611
Méretek
155 x 235 x 22

Teljes leírás

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, including commutative algebra, geometry, and knot theory. 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. As a byproduct, this volume also provides a loosely defined toolbox for attacking problems in topological combinatorics via discrete Morse theory. In terms of simplicity and power, arguably the most efficient tool is Forman's divide and conquer approach via decision trees; it is successfully applied to a large number of graph and digraph complexes.

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