文章基本信息

标题：Quantum Probability Aspects to Lexicographic and Strong Products of Graphs
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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