On regular-stable graphs
We introduce graphs G, with at least one maximum independent set of vertices, I, such that for all v in V(G)\I, the number of vertices in NG(v)∩I is constant. When this number of vertices is equal to λ we say that I has the λ-property and that G is λ-regular-stable. Furthermore we extend the study o...
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
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| Texto completo: | http://hdl.handle.net/10773/4435 |
| País: | Portugal |
| Oai: | oai:ria.ua.pt:10773/4435 |
| Resumo: | We introduce graphs G, with at least one maximum independent set of vertices, I, such that for all v in V(G)\I, the number of vertices in NG(v)∩I is constant. When this number of vertices is equal to λ we say that I has the λ-property and that G is λ-regular-stable. Furthermore we extend the study of this property to the well-covered graphs (that is, graphs where all maximal independent sets of vertices have the same cardinality). In this study we consider well-covered graphs for which all maximal independent sets of vertices have the λ-property, herein called well-covered λ-regular-stable graphs. |
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