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On r-stacked triangulated manifolds

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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https://hal.inria.fr/hal-01229706
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Satoshi Murai, Eran Nevo. On r-stacked triangulated manifolds. 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. pp.181-192. ⟨hal-01229706⟩

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