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Gaussian integral circulant digraphs
Authors:Ying Xu  Jixiang Meng
Institution:aCollege of Mathematics and Systems Science, Xinjiang University, Urumqi, Xinjiang 830046, PR China;bDepartment of Applied Mathematics, Xinjiang University of Finance and Economics, Urumqi, Xinjiang 830012, PR China
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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