Arithmetical Structures on Wheel Graphs
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913607396098048 |
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| author | Adhikari, Bibhas Behera, Namita Chhetri, Dilli Ram Yadav, Raj Bhawan |
| author_facet | Adhikari, Bibhas Behera, Namita Chhetri, Dilli Ram Yadav, Raj Bhawan |
| contents | An arithmetical structure on a finite and connected graph G is a pair (d, r) of positive integer vectors such that r is primitive (the gcd of its entries is 1) and (diag(d) - A)r = 0, where A is the adjacency matrix of G. In this article, we investigate arithmetical structures on the wheel graphs. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_07816 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Arithmetical Structures on Wheel Graphs Adhikari, Bibhas Behera, Namita Chhetri, Dilli Ram Yadav, Raj Bhawan Combinatorics 11D72, 15B48, 11D45, 11B83, 11D68, 11C20 An arithmetical structure on a finite and connected graph G is a pair (d, r) of positive integer vectors such that r is primitive (the gcd of its entries is 1) and (diag(d) - A)r = 0, where A is the adjacency matrix of G. In this article, we investigate arithmetical structures on the wheel graphs. |
| title | Arithmetical Structures on Wheel Graphs |
| topic | Combinatorics 11D72, 15B48, 11D45, 11B83, 11D68, 11C20 |
| url | https://arxiv.org/abs/2412.07816 |