Eigenvalue bounds and girths of graphs of finite, upper half-planes

DOI10.2140/pjm.1994.166.1zbMath0819.05044OpenAlexW2059005173MaRDI QIDQ1891175

Nancy Celniker

Publication date: 15 August 1995

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1994.166.1

zbMATH Keywords

eigenvaluesfinite fieldCayley graphsgirthupper half-planeadjacency matricesisospectral matricesRamanujan bound

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (7)

Eigenvalues of Cayley graphs ⋮ Graph spectra for finite upper half planes over rings ⋮ Finite fields and Ramanujan graphs ⋮ Some remarks on products of sets in the Heisenberg group and in the affine group ⋮ Survey of Spectra of Laplacians on Finite Symmetric Spaces ⋮ The finite upper half space and related hypergraphs ⋮ Growth in Chevalley groups relatively to parabolic subgroups and some applications

This page was built for publication: Eigenvalue bounds and girths of graphs of finite, upper half-planes