A Classification of Spectrum-determined Circulant Digraphs |
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Authors: | Zheng-xin Qin Ji-xiang Meng Qiong-xiang Huang |
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Institution: | 1.School of Mathematics and Information Technology,Jiangsu Second Normal University,Nanjing,China;2.Department of Mathematics,Xinjiang University,Urumuqi,China |
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Abstract: | Some researchers have proved that ádám’s conjecture is wrong. However, under special conditions, it is right. Let Zn be a cyclic group of order n and Cn(S) be the circulant digraph of Zn with respect to S ? Zn\{0}. In the literature, some people have used a spectral method to solve the isomorphism for the circulants of prime-power order. In this paper, we also use the spectral method to characterize the circulants of order paqbwc(where p, q and w are all distinct primes), and to make ádám’s conjecture right. |
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