Quantum Probability Aspects to Lexicographic and Strong Products of Graphs

Nobuaki OBATA

doi:10.4036/iis.2016.S.01

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Quantum Probability Aspects to Lexicographic and Strong Products of Graphs

Nobuaki OBATA

著者情報

キーワード: adjacency matrix, convolution of probability distributions, lexicographic product, spectral distribution, strong product

ジャーナルフリー早期公開

論文ID: 2016.S.01

DOI https://doi.org/10.4036/iis.2016.S.01

この記事には本公開記事があります。

The final version of this article is now available: Vol. 22 (2016), No. 1 pp. 143-146

詳細

抄録

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 is decomposed into a sum 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.

責任著者(Corresponding author)

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