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arXiv · 1604.04448

Cospectral digraphs from locally line digraphs

C. Dalfó·M. A. Fiol
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Abstract

A digraph $\G=(V,E)$ is a line digraph when every pair of vertices $u,v\in V$ 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 $\G$ is a locally line digraph. In this paper we give a new method to obtain a digraph $\G'$ cospectral with a given locally line digraph $\G$ with diameter $D$, where the diameter $D'$ of $\G'$ 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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BibTeXRIS

C. Dalfó, M. A. Fiol. 2016-04-15. Cospectral digraphs from locally line digraphs. https://arxiv.org/abs/1604.04448

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