The spectrum of Platonic graphs over finite fields
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Publication:870968
DOI10.1016/j.disc.2006.07.032zbMath1114.05079OpenAlexW1995003453MaRDI QIDQ870968
Michelle DeDeo, Marvin Minei, Dominic Lanphier
Publication date: 15 March 2007
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2006.07.032
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)
Related Items (6)
Eigenvalues of Cayley graphs ⋮ Regular coverings and parallel products of Farey maps ⋮ Unimodular graphs and Eisenstein sums ⋮ Commutative association schemes ⋮ Trivalent expanders, \((\Delta - Y)\)-transformation, and hyperbolic surfaces ⋮ Ramanujan graphs on cosets of \(\operatorname{PGL}_2(\mathbb F_q)\)
Cites Work
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- \(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators
- On Cheeger's inequality
- Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
- Spectra of Heisenberg graphs over finite rings
- Cheeger constants of Platonic graphs.
- Ramanujan graphs on cosets of \(\operatorname{PGL}_2(\mathbb F_q)\)
- Some elementary Ramanujan graphs
- Isoperimetric numbers of graphs
- Complex Representations of 𝐺𝐿(2,𝐾) for Finite Fields 𝐾
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