On the Spectra of Certain Graphs Arising from Finite Fields |
Common terms and phrases
2deg a₁ adjacency matrix adjacency operator Aff(p block diagonal c¯¹k c¯¹k² C₁x² CALIFORNIA/SANTA CRUZ UNIVERSITY Cayley graph Conjecture CRUZ The Univer CRUZ The University cz² define degree of Xp(8 diagonal matrix eigenfunctions Eigenvalues of graphs finite fó,a fs,a functions girth Graph Isomorphisms graph Xp(8 graphs associated Graphs from GL(3,p group isomorphism hence higher dimensional eigenvalues irreducible Kxm,j,k L²(G Lemma 15 Library The University multiplicative character nonbipartite nontrivial normalized eigenvalues number of vertices odd prime orthogonal Proof Proposition Ramanujan bound Ramanujan graphs representations of G SANTA CRUZ UNIVERSITY set Sp(8 shift matrix sin² Sp(d subgroup symmetric symmetric matrix teFX Terras's graphs Type Eigenvalues u₁ University Library UNIVERSITY UNIVERSITY OF CALIFORNIA UNIVERSITY OF CALIFORNIA/SANTA vertex vertex-transitive Wlogy Xm(s Xm(y Xp(d y x z yeFX zero λες Σ Σ