Publication at Faculty of Mathematics and Physics |
2008
Abstract
We say that a vertex v of a finite simplicial complex K 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 Yalcin, 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.