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Circulant digraphs determined by their spectra
Authors:Qiongxiang Huang and An Chang
Institution:

a Department of Mathematics, Xinjiang University, Urumuqi, Xinjiang 830046, People's Republic of China

b Department of Mathematics, Fuzhou University, Fuzhou, Fu Jian, People's Republic of China

Abstract:Inspired by Ádám's conjecture the isomorphism problem of circulant digraphs is widely investigated. In the literature, the spectrum method was to solve the isomorphism problem for the circulants of prime-power order by some people. In this paper, we develop the spectrum method to characterize the circulant digraphs of orders pa and paqb, where p and q are distinct primes.
Keywords:Circulant digraph  Isomorphism  Spectrum  Cyclotomic polynomial
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