Existence of regular unimodular triangulations of dilated empty simplices

2017/01/10 by Takayuki Hibi, Hibi, Takayuki, Akihiro Higashitani +3
Mathematics · Engineering · Computer Science · #Advanced Combinatorial Mathematics #graph theory and CDMA systems #Graph Labeling and Dimension Problems

paper · pdf · doi:10.48550/arxiv.1701.02471

Abstract

Given integers k and m with k ≥ 2 and m ≥ 2, let P be an empty simplex of dimension (2k-1) whose δ-polynomial is of the form 1+(m-1)t^k. In the present paper, the necessary and sufficient condition for the k-th dilation kP of P to have a regular unimodular triangulation will be presented.

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