On r-stacked triangulated manifolds (1209.0868v1)

Published 5 Sep 2012 in math.CO and math.AC

Abstract: The notion of r-stackedness for simplicial polytopes was introduced by McMullen and Walkup in 1971 as a generalization of stacked polytopes. In this paper, we define the r-stackedness for triangulated homology manifolds and study their basic properties. In addition, we find a new necessary condition for face vectors of triangulated manifolds when all the vertex links are polytopal.

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