[BOOK][B] Quantum probability and spectral analysis of graphs
A Hora, N Obata - 2007 - books.google.com
It is a great pleasure for me that the new Springer Quantum Probability Programmeisopenedbythepresentmonogra…
Obata. In fact this book epitomizes several distinctive features of contemporary quantum …
Obata. In fact this book epitomizes several distinctive features of contemporary quantum …
[HTML][HTML] Relations between cumulants in noncommutative probability
O Arizmendi, T Hasebe, F Lehner, C Vargas - Advances in Mathematics, 2015 - Elsevier
We express classical, free, Boolean and monotone cumulants in terms of each other, using
combinatorics of heaps, pyramids, Tutte polynomials and permutations. We completely …
combinatorics of heaps, pyramids, Tutte polynomials and permutations. We completely …
Rainbow connection number of comb product of graphs.
D Fitriani, ANM Salman… - Electronic Journal of …, 2022 - search.ebscohost.com
An edge-colored graph G is called a rainbow connected if any two vertices are connected by
a path whose edges have distinct colors. Such a path is called a rainbow path. The smallest …
a path whose edges have distinct colors. Such a path is called a rainbow path. The smallest …
[BOOK][B] Spectral analysis of growing graphs: a quantum probability point of view
N Obata - 2017 - books.google.com
This book is designed as a concise introduction to the recent achievements on spectral
analysis of graphs or networks from the point of view of quantum (or non-commutative) …
analysis of graphs or networks from the point of view of quantum (or non-commutative) …
Random permutation matrix models for graph products
I Charlesworth, R De Santiago, B Hayes… - arxiv preprint arxiv …, 2024 - arxiv.org
Graph independence (also known as $\epsilon $-independence or $\lambda $-
independence) is a mixture of classical independence and free independence …
independence) is a mixture of classical independence and free independence …
Investigation of continuous-time quantum walk via spectral distribution associated with adjacency matrix
MA Jafarizadeh, S Salimi - Annals of physics, 2007 - Elsevier
Using the spectral distribution associated with the adjacency matrix of graphs, we introduce
a new method of calculation of amplitudes of continuous-time quantum walk on some rather …
a new method of calculation of amplitudes of continuous-time quantum walk on some rather …
Quantum probabilistic approach to spectral analysis of star graphs
N Obata - Interdisciplinary Information Sciences, 2004 - jstage.jst.go.jp
Quantum Probabilistic Approach to Spectral Analysis of Star GraphsAMS subject
classifications: primary 82B20; secondary 05E35 60 Page 1 Quantum Probabilistic …
classifications: primary 82B20; secondary 05E35 60 Page 1 Quantum Probabilistic …
Spectra of M-edge rooted product of graphs
R Pavithra, R Rajkumar - Indian Journal of Pure and Applied Mathematics, 2021 - Springer
In this paper, we define a graph operation, namely, M-edge rooted product of graphs. This
generalizes the existing graph operation called graphs with edge pockets. Also we introduce …
generalizes the existing graph operation called graphs with edge pockets. Also we introduce …
Spectra of M-rooted product of graphs
R Rajkumar, R Pavithra - Linear and Multilinear Algebra, 2022 - Taylor & Francis
In this paper, we define a new graph operation, namely, M-rooted product of graphs which
generalizes the existing rooted product of graphs. We obtain its generalized characteristic …
generalizes the existing rooted product of graphs. We obtain its generalized characteristic …
Decompositions of the free product of graphs
L Accardi, R Lenczewski, R Sałapata - Infinite Dimensional Analysis …, 2007 - World Scientific
We study the free product of rooted graphs and its various decompositions using quantum
probabilistic methods. We show that the free product of rooted graphs is canonically …
probabilistic methods. We show that the free product of rooted graphs is canonically …