Wreath product of matrices

DOI10.1016/j.laa.2016.10.023zbMath1391.15083arXiv1507.02609OpenAlexW1917357167MaRDI QIDQ344910

Alfredo Donno, Daniele D'Angeli

Publication date: 25 November 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02609

zbMATH Keywords

circulant matrixblock-circulant matrixlamplighter random walkwreath product of graphswreath product of matrices

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69) Graph operations (line graphs, products, etc.) (05C76) Random walks on graphs (05C81)

Related Items

Topological indices of the wreath product of graphs ⋮ Total distance, Wiener index and opportunity index in wreath products of star graphs ⋮ Some degree and distance-based invariants of wreath products of graphs ⋮ Distance-balanced graphs and travelling salesman problems ⋮ Wreath product of a complete graph with a cyclic graph: topological indices and spectrum ⋮ Permutational powers of a graph

Cites Work

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• The lumpability property for a family of Markov chains on poset block structures
• Generalized crested products of Markov chains
• Harmonic analysis of finite lamplighter random walks
• Graph multiplication
• The composition of graphs
• Spectral computations on lamplighter groups and Diestel-Leader graphs
• Crested products of Markov chains
• Markov chains on orthogonal block structures
• Associative products of graphs
• Generalized wreath products of graphs and groups
• Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
• Representation theory of wreath products of finite groups
• A NOTE ON THE NORMS OF TRANSITION OPERATORS ON LAMPLIGHTER GRAPHS AND GROUPS
• Generalized wreath products
• Spectrum, distance spectrum, and Wiener index of wreath products of complete graphs
• Harmonic analysis on a finite homogeneous space