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On r-stacked triangulated manifolds |
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| Authors: | Satoshi Murai Eran Nevo |
| Affiliation: | 1. Department of Mathematical Science, Faculty of Science, Yamaguchi University, 1677-1 Yoshida, Yamaguchi, 753-8512, Japan 2. Department of Mathematics, Ben Gurion University of the Negev, Be’er Sheva, 84105, Israel |
| 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 its 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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