Year: 2024
Type: article
Abstract: The purpose of this paper is to extend the scope of 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.
Source: Algebraic Combinatorics
DOI: 10.5802/alco.367
Authors: Takuya Inoue, Yusuke Nakamura
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402206655