A lower bound for the Weisfeiler-Leman dimension of circulant graphs
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918248612626432 |
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| author | Wu, Yulai Ren, Qing Ponomarenko, Ilia |
| author_facet | Wu, Yulai Ren, Qing Ponomarenko, Ilia |
| contents | It is proved that for infinitely many positive integers n, there exists a circulant graph of order n whose Weisfeiler-Leman dimension is at least c\sqrt{log n} for some positive constant c not depending on n. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10116 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A lower bound for the Weisfeiler-Leman dimension of circulant graphs Wu, Yulai Ren, Qing Ponomarenko, Ilia Combinatorics 05E30 G.2.1 It is proved that for infinitely many positive integers n, there exists a circulant graph of order n whose Weisfeiler-Leman dimension is at least c\sqrt{log n} for some positive constant c not depending on n. |
| title | A lower bound for the Weisfeiler-Leman dimension of circulant graphs |
| topic | Combinatorics 05E30 G.2.1 |
| url | https://arxiv.org/abs/2507.10116 |