Elsevier

Discrete Mathematics

Volume 311, Issue 1, 6 January 2011, Pages 45-50
Discrete Mathematics

Gaussian integral circulant digraphs

https://doi.org/10.1016/j.disc.2010.09.019Get rights and content
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Abstract

The spectrum of a digraph in general contains real and complex eigenvalues. A digraph is called a Gaussian integral digraph if it has a Gaussian integral spectrum that is all eigenvalues are Gaussian integers. In this paper, we consider Gaussian integral digraphs among circulant digraphs.

Keywords

Gaussian integral digraph
Circulant digraph
Graph spectrum

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The research is supported by NSFC (No. 10671165) and SRFDP (No. 20050755001).