par Godsil, Chris;Guo, Krystal ;Myklebust, Tor T.G.J.
Référence The electronic journal of combinatorics, 24, 4, #P4.16
Publication Publié, 2017-10
Article révisé par les pairs
Résumé : We study the transition matrix of a quantum walk on strongly regular graphs. It is proposed by Emms, Hancock, Severini and Wilson in 2006, that the spectrum of S+(U3), a matrix based on the amplitudes of walks in the quantum walk, dis-tinguishes strongly regular graphs. We probabilistically compute the spectrum of the line intersection graphs of two non-isomorphic generalized quadrangles of order (52; 5) under this matrix and thus provide strongly regular counter-examples to the conjecture.