2026-04-17T13:09:01Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/148212025-07-17T01:16:36Zcom_2072_1033col_2072_452950

Jacobi matrices and boundary value problems in distance-regular graphs Bendito Pérez, Enrique Carmona Mejías, Ángeles Encinas Bachiller, Andrés Marcos Gago Álvarez, Silvia Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III Universitat Politècnica de Catalunya. VARIDIS - Varietats Riemannianes Discretes i Teoria del Potencial Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal Matrices Matrius (Matemàtica) 15 MATRIX THEORY In this work we analyze regular boundary value problems on a distance-regular graph associated with SchrÄodinger operators. These problems include the cases in which the boundary has two or one vertices. Moreover, we obtain the Green matrix for each regular problem. 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. Preprint 2012-01-25 External research report Bendito, E. [et al.]. "Jacobi matrices and boundary value problems in distance-regular graphs". 2012. https://hdl.handle.net/2117/14821 eng 15A15, 15F10 http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain 13 p. application/pdf