Ehrhart Polynomials with Negative Coefficients

It is shown that, for each d ≥ 4 , there exists an integral convex polytope P of dimension d such that each of the coefficients of n , n 2 , … , n d - 2 of its Ehrhart polynomial i ( P , n ) is negative. Moreover, it is also shown that for each d ≥ 3 and 1 ≤ k ≤ d - 2 , there exists an integral conv...

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Veröffentlicht in:	Graphs and combinatorics 2019-01, Vol.35 (1), p.363-371
Hauptverfasser:	Hibi, Takayuki, Higashitani, Akihiro, Tsuchiya, Akiyoshi, Yoshida, Koutarou
Format:	Artikel
Sprache:	eng
Schlagworte:	Coefficients Combinatorics Engineering Design Integrals Mathematics Mathematics and Statistics Original Paper Polynomials Polytopes
Online-Zugang:	Volltext
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