Ehrhart theory on periodic graphs
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.
Authors
- Yusuke Nakamura (ORCID: https://orcid.org/0000-0002-5376-9513)
- Takuya Inoue (ORCID: https://orcid.org/0009-0008-8434-3567)
Publication Details
- Journal
- Algebraic Combinatorics
- Published
- 2024-09-03
- DOI
- https://doi.org/10.5802/alco.367
- Citations
- 4
- Primary Topic
- Graph theory and applications
- Type
- article
- Field-Weighted Citation Impact
- 4.05
Funders
- Japan Society for the Promotion of Science