Title of article
Independence complexes of chordal graphs
Author/Authors
Kawamura، نويسنده , , Kazuhiro، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
8
From page
2204
To page
2211
Abstract
We show that the independence complex I ( G ) of an arbitrary chordal graph G is either contractible or is homotopy equivalent to the finite wedge of spheres of dimension at least the domination number of G minus 1. Also it is shown that every finite wedge of spheres (as well as a singleton) is realized as the homotopy type of the independence complex of a chordal graph. A combinatorial consequence is a verification of a conjecture due to Aharoni et al. [2, Conjecture 2.4] for chordal graphs.
Keywords
chordal graph , Independence complex , homotopy
Journal title
Discrete Mathematics
Serial Year
2010
Journal title
Discrete Mathematics
Record number
1598332
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