The spectra of subKautz and cyclic Kautz digraphs
Kautz digraphs K(d, `) are a well-known family of dense digraphs, widely studied as a good model for interconnection networks. Closely related with these, the cyclic Kautz CK(d, `) and the subKautz sK(d, 2) digraphs were recently introduced by B¨ohmov´a, Huemer and the author. In this paper we propo...
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2017 |
| 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:10459.1/65485 |
| Acceso en línea: | https://doi.org/10.1016/j.laa.2017.05.046 http://hdl.handle.net/10459.1/65485 |
| Access Level: | acceso abierto |
| Palabra clave: | Digraph Kautz digraph Adjacency matrix |
| Sumario: | Kautz digraphs K(d, `) are a well-known family of dense digraphs, widely studied as a good model for interconnection networks. Closely related with these, the cyclic Kautz CK(d, `) and the subKautz sK(d, 2) digraphs were recently introduced by B¨ohmov´a, Huemer and the author. In this paper we propose a new method to obtain the complete spectra of subKautz sK(d, 2) and cyclic Kautz CK(d, 3) digraphs, for all d ≥ 3, through the HoffmanMcAndrew polynomial and regular partitions. This approach can be useful to find the spectra of other families of digraphs with high regularity. |
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