Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777547 | Journal of Combinatorial Theory, Series A | 2017 | 9 Pages |
Abstract
In 1976, P. R. Scott characterized the Ehrhart polynomials of convex integral polygons. We study the same question for Ehrhart polynomials and quasi-polynomials of non-integral convex polygons. Turning to the case in which the Ehrhart quasi-polynomial has nontrivial quasi-period, we determine the possible minimal periods of the coefficient functions of the Ehrhart quasi-polynomial of a rational polygon.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Tyrrell B. McAllister, Matthew Moriarity,