Bipartite biregular Moore graphs
A bipartite graph G=(V,E) with V=V1 U V2 is biregular if all the vertices of a stable set Vi have the same degree ri for i=1,2. In this paper, we give an improved new Moore bound for an infinite family of such graphs with odd diameter. This problem was introduced in 1983 by Yebra, Fiol, and Fàbrega....
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10459.1/72274 |
| Acceso en línea: | https://doi.org/10.1016/j.disc.2021.112582 http://hdl.handle.net/10459.1/72274 |
| Access Level: | acceso abierto |
| Palabra clave: | Bipartite biregular graphs Moore bound Diameter Adjacency spectrum |
| Sumario: | A bipartite graph G=(V,E) with V=V1 U V2 is biregular if all the vertices of a stable set Vi have the same degree ri for i=1,2. In this paper, we give an improved new Moore bound for an infinite family of such graphs with odd diameter. This problem was introduced in 1983 by Yebra, Fiol, and Fàbrega. Besides, we propose some constructions of bipartite biregular graphs with diameter d and large number of vertices N(r1,r2;d), together with their spectra. In some cases of diameters d=3, 4, and 5, the new graphs attaining the Moore bound are unique up to isomorphism. |
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