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Spectrum of a homogeneous graph

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Publication:944351
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DOI10.1016/j.jmaa.2008.06.027zbMath1152.05348OpenAlexW2168860955MaRDI QIDQ944351

Cho-Ho Chu, C. Chen

Publication date: 16 September 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.06.027


zbMATH Keywords

Harnack inequalityspectrumgroup representationLaplacianconvolution operatorhomogeneous graph


Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)




Cites Work

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  • Matrix convolution operators on groups
  • Isoperimetric inequalities, growth, and the spectrum of graphs
  • The primitive ideal space of two-step nilpotent group \(C^*\)-algebras
  • On Cheeger inequalities of a graph
  • The Cheeger constant, the heat kernel, and the Green kernel of an infinite graph
  • Laplacian and vibrational spectra for homogeneous graphs
  • [https://portal.mardi4nfdi.de/wiki/Publication:4337503 Open problems of Paul Erd�s in graph theory]
  • Characters of the discrete Heisenberg group and of its completion
  • HARMONIC FUNCTION SPACES ON GROUPS
  • The convolution equation of Choquet and Deny on [IN-groups.]
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