Induced paths in strongly regular graphs
| Autor: | Bailey, Robert F., Rowsell, Abigail K. |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | This paper studies induced paths in strongly regular graphs. We give an elementary proof that a strongly regular graph contains a path $P_4$ as an induced subgraph if and only if it is primitive, i.e. it is neither a complete multipartite graph nor its complement. Also, we investigate when a strongly regular graph has an induced subgraph isomorphic to $P_5$ or its complement, considering several well-known families including Johnson and Kneser graphs, Hamming graphs, Latin square graphs, and block-intersection graphs of Steiner triple systems. Comment: 10 pages |
| Databáze: | arXiv |
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