Mathieu Dutour Sikirić

Mathieu Dutour Sikirić

Simplicial complexes

All simplicial n-complexes, whose (n-2)-dimensional faces are contained in 3 or 4 simplices have been classified in terms of partitions of {1,..., n+1}. See below the 2-dimensional case:

{1,2,3}
{1,2,3}
{1,2}, {3}
{1,2}, {3}
{1}, {2}, {3}
{1}, {2}, {3}

L M. Deza, M. Dutour Sikirić, M. Shtogrin, On simplicial and cubical complexes with short links, Israel J. Math. 144 (2004), 109--124.

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