Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424068 | European Journal of Combinatorics | 2016 | 9 Pages |
Abstract
For an integral convex polytope PâRd, we recall LP(n)=|nPâ©Zd| the Ehrhart polynomial of P. Let gr(P) be the rth coefficients of LP(n) for r=0,â¦,d. Martin Henk and Makoto Tagami gave lower bounds on the coefficients gr(P) in terms of the volume of P. They proved that these bounds are best possible for râ{1,2,dâ2}. We show that these bounds are also optimal for r=3 and dâr even and we give a new best possible bound for r=dâ3.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Akiyoshi Tsuchiya,