On the independence number of regular graphs of matrix rings
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914796145737728 |
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| author | Nica, Bogdan |
| author_facet | Nica, Bogdan |
| contents | Consider a graph on the non-singular matrices over a finite field, in which two distinct non-singular matrices are joined by an edge whenever their sum is singular. We prove an upper bound for the independence number of this graph. As a consequence, we obtain a lower bound for its chromatic number that significantly improves a previous result of Tomon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08734 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the independence number of regular graphs of matrix rings Nica, Bogdan Combinatorics 05C50 Consider a graph on the non-singular matrices over a finite field, in which two distinct non-singular matrices are joined by an edge whenever their sum is singular. We prove an upper bound for the independence number of this graph. As a consequence, we obtain a lower bound for its chromatic number that significantly improves a previous result of Tomon. |
| title | On the independence number of regular graphs of matrix rings |
| topic | Combinatorics 05C50 |
| url | https://arxiv.org/abs/2405.08734 |