Geodesic
On $r$-stacked triangulated manifolds
Journal of Algebraic Combinatorics, Tome 39 (2014) no. 2, pp. 373-388.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 its basic properties. In addition, we find a new necessary condition for face vectors of triangulated manifolds when all the vertex links are polytopal.
Classification : 52B
Keywords: face vectors, simplicial complexes, triangulations of manifolds 
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     author = {Murai, Satoshi and Nevo, Eran},
     title = {On $r$-stacked triangulated manifolds},
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Murai, Satoshi; Nevo, Eran. On $r$-stacked triangulated manifolds. Journal of Algebraic Combinatorics, Tome 39 (2014) no. 2, pp. 373-388. http://geodesic.mathdoc.fr/item/JAC_2014__39_2_a4/