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...
| Authors: | , |
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2016 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10459.1/72568 |
| Online Access: | https://doi.org/10.1016/j.laa.2016.03.014 http://hdl.handle.net/10459.1/72568 |
| Access Level: | Open access |
| Keyword: | Digraph Adjacency matrix Spectrum Cospectral digraph Diameter De Bruijn digraph Kautz digraph |
| Summary: | 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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