LC reductions yield isomorphic simplicial complexes

Authors

  • Jiří Matoušek

DOI:

https://doi.org/10.11575/cdm.v3i2.61933

Abstract

We say that a vertex $v$ of a finite simplicial complex $K4 is LC-removable if the link of $v$ is a cone, and that $K$ is LC-irreducible if it has no LC-removable vertices. Answering a question of Civan and Yal\,cın [J. Comb. Theory Ser. A(2007), doi:10.1016/j.jcta.2007.02.001], we prove that all LC-irreducible simplicial complexes that can be obtained from a given $K$ by repeatedly deleting LC-removable vertices (plus all simplices containing them) are isomorphic.

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Published

2008-09-11

Issue

Vol. 3 No. 2 (2008)

Section

Articles

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