Quantum Probabilistic Approach to Spectral Analysis of Star Graphs

Nobuaki OBATA

doi:10.4036/iis.2004.41

Interdisciplinary Information Sciences

Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050

Quantum Probabilistic Approach to Spectral Analysis of Star Graphs

Nobuaki OBATA

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Keywords: adjacency matrix, Boolean independence, interacting Fock space, quantum decomposition, spectral distribution, spectral gap, star graph

JOURNAL FREE ACCESS

2004 Volume 10 Issue 1 Pages 41-52

DOI https://doi.org/10.4036/iis.2004.41

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Abstract

A general method for obtaining a vacuum spectral distribution of the adjacency matrix of a star graph is established within the framework of quantum probability theory. The spectral distribution tends asymptotically to the Bernoulli distribution as the number of leaves of a star graph tends to the infinity.

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