Spectra of the directed de Bruijn graphs(有向de Bruijn图的谱)
首先分析了n维d进位有向de Bruijn图B(d,n)(d≥2,n≥1)及其邻接矩阵A的结构,证明了从B(d,n)的顶点x到y只有一条长度为n的有向链,从而证得了An=J(其中J为dn×dn阶矩阵,且其全部元素均为1).文章最后获得了有向de Bruijn图B(d,n)的谱,B(d,n)的特征值为0与d,且它们所对应的重数分别为dn-1和1....
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Format: | Article |
Language: | zho |
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Zhejiang University Press
2005-09-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
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Online Access: | https://doi.org/zjup/1008-9497.2005.32.5.536-539 |