Asymptotic joint spectra of Cartesian powers of strongly regular graphs and bivariate Charlier–Hermite polynomials

• Main Authors: Morales, John Vincent S., Obata, Nobuaki, Tanaka, Hajime
• Format: text
• Published: Animo Repository 2018
• Subjects: Graph theory; Hypergeometric series; Orthogonal polynomials; Hilbert space; Central limit theorem; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/5940
• Institution: De La Salle University

Generalizing previous work of Hora (1998) on the asymptotic spectral analysis for the Hamming graph H(n, q) which is the nth Cartesian power Kq□n of the complete graph Kq on q vertices, we describe the possible limits of the joint spectral distribution of the pair (G□n, G□n) of the nth Cartesian pow...