Year: 2013
Type: article
Abstract: Generalizing a result (the case ) due to M. A. Perles, we show that any polytopal upper bound sphere of odd dimension belongs to the generalized Walkup class , i.e., all its vertex links are -stacked spheres. This is surprising since it is far from obvious that the vertex links of polytopal upper bound spheres should have any special combinatorial structure. It has been conjectured that for , all -neighborly members of the class are tight. The result of this paper shows that the hypothesis is essential for every value of .
Source: Mathematika
Authors: Bhaskar Bagchi, Basudeb Datta
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2055848414