The semicircle law for semiregular bipartite graphs

DOI10.1016/S0097-3165(02)00010-9zbMath1016.05054OpenAlexW1991113917MaRDI QIDQ1869758

Iwao Sato, Hirobumi Mizuno

Publication date: 28 April 2003

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0097-3165(02)00010-9

zbMATH Keywords

zeta functionSelberg trace formulasemicircle lawdistribution of eigenvaluessemiregular graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other Dirichlet series and zeta functions (11M41) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (5)

Spectral gap in random bipartite biregular graphs and applications ⋮ Global eigenvalue fluctuations of random biregular bipartite graphs ⋮ Resolvent of large random graphs ⋮ The Marčenko-Pastur law for sparse random bipartite biregular graphs ⋮ Automorphism groups of some families of bipartite graphs

Cites Work

• Walk generating functions and spectral measures of infinite graphs
• The expected eigenvalue distribution of a large regular graph
• Spectra of regular graphs and hypergraphs and orthogonal polynomials
• Zeta functions of finite graphs and coverings
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
• ARTIN TYPE L-FUNCTIONS AND THE DENSITY THEOREM FOR PRIME CYCLES ON FINITE GRAPHS
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