Universal graph series, chromatic functions, and their index theory
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910790737461248 |
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| author | Miezaki, Tsuyoshi Munemasa, Akihiro Nishimura, Yusaku Sakuma, Tadashi Tsujie, Shuhei |
| author_facet | Miezaki, Tsuyoshi Munemasa, Akihiro Nishimura, Yusaku Sakuma, Tadashi Tsujie, Shuhei |
| contents | In the present paper, we introduce the concept of universal graph series. We then present four invariants of graphs and discuss some of their properties. In particular, one of these invariants is a generalization of the chromatic symmetric function and a complete invariant for graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09985 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universal graph series, chromatic functions, and their index theory Miezaki, Tsuyoshi Munemasa, Akihiro Nishimura, Yusaku Sakuma, Tadashi Tsujie, Shuhei Combinatorics Rings and Algebras Representation Theory Primary:05E05, 05C15, Secondary:05C31, 05C63, 05C60, 05C09, 05A19 In the present paper, we introduce the concept of universal graph series. We then present four invariants of graphs and discuss some of their properties. In particular, one of these invariants is a generalization of the chromatic symmetric function and a complete invariant for graphs. |
| title | Universal graph series, chromatic functions, and their index theory |
| topic | Combinatorics Rings and Algebras Representation Theory Primary:05E05, 05C15, Secondary:05C31, 05C63, 05C60, 05C09, 05A19 |
| url | https://arxiv.org/abs/2403.09985 |