Ehrhart theory on periodic graphs
Combinatorics
2024-09-05 v2 Commutative Algebra
Abstract
The purpose of this paper is to extend the scope of the Ehrhart theory to periodic graphs. We give sufficient conditions for the growth sequences of periodic graphs to be a quasi-polynomial and to satisfy the reciprocity laws. Furthermore, we apply our theory to determine the growth series in several new examples.
Keywords
Cite
@article{arxiv.2305.08177,
title = {Ehrhart theory on periodic graphs},
author = {Takuya Inoue and Yusuke Nakamura},
journal= {arXiv preprint arXiv:2305.08177},
year = {2024}
}
Comments
41 pages. To appear in Algebraic Combinatorics