Green function on product networks

Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos

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Arauz Lombardía, Cristina

Carmona Mejías, Ángeles

Encinas Bachiller, Andrés Marcos

Document typeConference lecture

Defense date2012

Rights accessRestricted access - publisher's policy

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder

Abstract

Our objective is to determine the Green function of product networks in terms of the Green function of one of the factor networks and the eigenvalues and eigenfunctions of the Schr odinger operator of the other factor network, which we consider that are known. Moreover, we use these results to obtain the Green function of spider networks in terms of Green functions over cicles and paths.

CitationArauz, C.; Carmona, A.; Encinas, A. Green function on product networks. A: Jornadas de Matemática Discreta y Algorítmica. "VIII Jornadas de Matemática Discreta y Algorítmica: Almería, 11-13 de julio de 2012". Almería: 2012, p. 159-166.

URIhttp://hdl.handle.net/2117/21038

DLAL 296-2012

ISBN978-84-15487-13-5

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