On the Complexity of Recognition of 2-collapsibility

نویسنده

  • M. Tancer
چکیده

A simplicial complex is d-collapsible if it can be reduced to an empty simplex by repeatedly removing face of dimension less than d that it is contained in a unique maximal face. These complexes have been studied since every complex that is the nerve of a family of convex sets in R d is d-collapsible. We show that the question whether a given complex is 2-collapsible can be solved in polynomial time.

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تاریخ انتشار 2008