Cospectral digraphs from locally line digraphs
A digraph Γ =(V, E) is a line digraph when every pair of vertices u, v∈V have either equal or disjoint in-neighborhoods. When this condition only applies for vertices in a given subset (with at least two elements), we say that Γ is a locally line digraph. In this paper we give a new method to obtain...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat de Lleida (UdL) |
| Repositorio: | Repositori Obert UdL |
| OAI Identifier: | oai:repositori.udl.cat:10459.1/72568 |
| Acceso en línea: | https://doi.org/10.1016/j.laa.2016.03.014 http://hdl.handle.net/10459.1/72568 |
| Access Level: | acceso abierto |
| Palabra clave: | Digraph Adjacency matrix Spectrum Cospectral digraph Diameter De Bruijn digraph Kautz digraph |
| Sumario: | A digraph Γ =(V, E) is a line digraph when every pair of vertices u, v∈V have either equal or disjoint in-neighborhoods. When this condition only applies for vertices in a given subset (with at least two elements), we say that Γ is a locally line digraph. In this paper we give a new method to obtain a di-graph Γ′ cospectral with a given locally line digraph Γ with diameter D, where the diameter D′ of Γ′ is in the interval [D−1, D+1]. In particular, when the method is applied to De Bruijn or Kautz digraphs, we obtain cospectral digraphs with the same algebraic properties that characterize the formers. |
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