Cores of simplicial complexes

Details Cores of simplicial complexes Cores of simplicial complexes

2007-03-12

arxiv.org/abs/math/0703351v1

Mathematics

Combinatorics

26 pages, 2 figures. Comments are very welcome!

Scientific paper

We introduce a method to reduce the study of the topology of a simplicial complex to that of a simpler one. We give some applications of this method to complexes arising from graphs. As a consequence, we answer some questions raised in [R.Ehrenborg, G.Hetyei, European J.Combin.27 (2006), no.6, 906-923] on the independence complex and the dominance complex. The techniques used come mainly from monomial ideal theory.

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