Lamplighter groups, de Brujin graphs, spider-web graphs and their spectra

DOI10.1088/1751-8113/49/20/205004zbMath1345.05043arXiv1502.06722OpenAlexW3104984767MaRDI QIDQ2991913

Paul-Henry Leemann, Tatiana Nagnibeda, Rostislav I. Grigorchuk

Publication date: 10 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06722

zbMATH Keywords

spectra of graphslamplighter groupsde Brujin graphsnetwork and graph limitsspider-web networks

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (6)

Eigenvalues of Cayley graphs ⋮ Assouad-Nagata dimension and gap for ordered metric spaces ⋮ Self-similar groups and holomorphic dynamics: renormalization, integrability, and spectrum ⋮ On state-closed representations of restricted wreath product of groups \(G_{p,d}=C_{p}wrC^{d}\) ⋮ Faithful group actions and Schreier graphs ⋮ Circular slider graphs: de Bruijn, Kautz, Rauzy, lamplighters and spiders

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