Isospectral Cayley graphs of some finite simple groups
Alexander Lubotzky, Beth Samuels, Uzi Vishne
Abstract
We apply spectral analysis of quotients of the Bruhat-Tits buildings of type Ad-1 to construct isospectral non-isomorphic Cayley graphs of the finite simple groups PSLd( Fq) for every d ≥ 5 (d ≠ 6) and prime power q > 2.
Create a lesson
Related papers
Combinatorics of hyperplane arrangements and Witten zeta function at the origin
Kam Cheong Au, Kazuhiro Onodera
Proof of the Pach-Tardos conjecture
Lior Gishboliner, Xiangyu Li
Longest cycles intersect linearly in highly connected graphs
Jie Ma, Bo Ning, Ziyuan Zhao
Cutting a convex body into fat parts and approximating Euclidean distance by graph distances
János Pach, Gábor Tardos
A counterexample to the quantum Hedetniemi conjecture
Julius A. Zeiss
Schrijver-Delsarte rigidity in association schemes and undecidability of quantum graph homomorphism
Lorenzo Ciardo, Iris Hebbeker, Gideo Joubert et al.