On the spectral distribution of distance-k graph of free product graphs

DOI10.1142/S021902571650017XzbMath1351.05138arXiv1601.04752OpenAlexW2963132455MaRDI QIDQ2828066

Octavio Arizmendi, Tulio Gaxiola

Publication date: 24 October 2016

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04752

zbMATH Keywords

random regular graphsfree product of graphsdistance-\(k\) graph

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Free probability and free operator algebras (46L54) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Spectrum, resolvent (47A10) Distance in graphs (05C12) Graph operations (line graphs, products, etc.) (05C76)

Related Items (2)

The \(k\)-adjacency operators and adjacency Jacobi matrix on distance-regular graphs ⋮ On the spectral distribution of distance-k graph of free product graphs

Cites Work

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• Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
• On the spectral distribution of distance-k graph of free product graphs
• DISTANCE-k GRAPHS OF HYPERCUBE AND q-HERMITE POLYNOMIALS
• Asymptotic spectral distributions of distance \boldsymbol k-graphs of large-dimensional hypercubes
• ASYMPTOTIC SPECTRAL ANALYSIS OF A GENERALIZED N-CUBE BY A QUANTUM PROBABILISTIC METHOD
• Symmetric Random Walks on Groups
• DECOMPOSITIONS OF THE FREE PRODUCT OF GRAPHS

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