Jacobi matices and boundary value problems in distance-regular graphs
Ángeles Carmona Mejías, Andres M. Encinas, Silvia Gago · Electronic Journal of Linear Algebra · 2012
Regular boundary value problems on a distance-regular graph associated with Schrödinger operators are analyzed.These problems include the cases in which the boundary has one or two vertices.In each case, the Green matrices are given in terms of two families of orthogonal polynomials, one of them corresponding with the distance polynomials of the distance-regular graphs.