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oai:recercat.cat:2117/1060392026-02-11T06:23:03Zcom_2072_1033col_2072_452950

Dirichlet-to-Robin matrix on networks Arauz Lombardía, Cristina Carmona Mejías, Ángeles Encinas Bachiller, Andrés Marcos Universitat Politècnica de Catalunya. Departament de Matemàtiques Universitat Politècnica de Catalunya. COMPTHE - Combinatòria i Teoria Discreta del Potencial pel control de paràmetres en xarxes Àrees temàtiques de la UPC::Matemàtiques i estadística Inverse problems (Differential equations) Response matrix Schur complements inverse problem Dirichlet-to-Robin matrix network Problemes inversos (Equacions diferencials) 34 In this work, we de ne the Dirichlet{to{Robin matrix associated with a Schr odinger type matrix on general networks, and we prove that it satis es the alternating property which is essential to characterize those matrices that can be the response matrices of a network. We end with some examples of the sign pattern behavior of the alternating paths. Postprint (author's final draft) 2014 Article Arauz, C., Carmona, A., Encinas, A. Dirichlet-to-Robin matrix on networks. "Electronic notes in discrete mathematics", 2014, vol. 46, p. 65-72. 1571-0653 https://hdl.handle.net/2117/106039 10.1016/j.endm.2014.08.010 eng http://www.sciencedirect.com/science/article/pii/S1571065314000110 Open Access 8 p. application/pdf