Ehrhart theory on periodic graphs
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917767657029632 |
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| author | Inoue, Takuya Nakamura, Yusuke |
| author_facet | Inoue, Takuya Nakamura, Yusuke |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_08177 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ehrhart theory on periodic graphs Inoue, Takuya Nakamura, Yusuke Combinatorics Commutative Algebra 05A15, 52B20, 05C30, 92E10 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. |
| title | Ehrhart theory on periodic graphs |
| topic | Combinatorics Commutative Algebra 05A15, 52B20, 05C30, 92E10 |
| url | https://arxiv.org/abs/2305.08177 |