Spectral conditions for the existence of chorded cycles in graphs with fixed size
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909281312309248 |
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| author | Cai, Jin Xu, Leyou Zhou, Bo |
| author_facet | Cai, Jin Xu, Leyou Zhou, Bo |
| contents | A chorded cycle is a cycle with at least one chord. Gould asked in [Graphs Comb. 38 (2022) 189] the question: What spectral conditions imply a graph contains a chorded cycle? For a graph with fixed size, extremal spectral conditions are given to ensure that a graph contains a chorded cycle and a $(2k-3)$-chorded $(2k+1)$-cycle for $k\ge 2$, respectively, via spectral radius. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03229 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectral conditions for the existence of chorded cycles in graphs with fixed size Cai, Jin Xu, Leyou Zhou, Bo Combinatorics A chorded cycle is a cycle with at least one chord. Gould asked in [Graphs Comb. 38 (2022) 189] the question: What spectral conditions imply a graph contains a chorded cycle? For a graph with fixed size, extremal spectral conditions are given to ensure that a graph contains a chorded cycle and a $(2k-3)$-chorded $(2k+1)$-cycle for $k\ge 2$, respectively, via spectral radius. |
| title | Spectral conditions for the existence of chorded cycles in graphs with fixed size |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2405.03229 |