A note on the order of iterated line digraphs
Given a digraph G, we propose a new method to find therecurrence equation for the number of vertices nk of the k-iterated linedigraph Lk(G), for k≥0, where L0(G)=G. We obtain this result by usingthe minimal polynomial of a quotient digraph π(G) of G
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2016 |
| 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:10459.1/72560 |
| Acceso en línea: | https://doi.org/10.1002/jgt.22068 http://hdl.handle.net/10459.1/72560 |
| Access Level: | acceso abierto |
| Palabra clave: | Line digraph Adjacency matrix Minimal polynomia Regular partition Quotient digraph Recurrence |
| Sumario: | Given a digraph G, we propose a new method to find therecurrence equation for the number of vertices nk of the k-iterated linedigraph Lk(G), for k≥0, where L0(G)=G. We obtain this result by usingthe minimal polynomial of a quotient digraph π(G) of G |
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