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  • 标题:Quantum Probability Aspects to Lexicographic and Strong Products of Graphs
  • 本地全文:下载
  • 作者:Nobuaki OBATA
  • 期刊名称:Interdisciplinary Information Sciences
  • 印刷版ISSN:1340-9050
  • 电子版ISSN:1347-6157
  • 出版年度:2016
  • 卷号:22
  • 期号:1
  • 页码:143-146
  • DOI:10.4036/iis.2016.S.01
  • 出版社:The Editorial Committee of the Interdisciplinary Information Sciences
  • 摘要:The adjacency matrix of the lexicographic product of graphs is decomposed into a sum of monotone independent random variables in a certain product state. The adjacency matrix of the strong product of graphs admits an expression in terms of commutative independent random variables in a product state. Their spectral distributions are obtained by using the monotone, classical and Mellin convolutions of probability distributions.
  • 关键词:adjacency matrix;convolution of probability distributions;lexicographic product;spectral distribution;strong product
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