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Green operators of networks with a new vertex

Autor
Carmona, A.; Encinas, A.; Gago, S.; Mitjana, M.
Tipus d'activitat
Article en revista
Revista
Linear algebra and its applications
Data de publicació
2016-02-15
Volum
491
Pàgina inicial
419
Pàgina final
433
DOI
https://doi.org/10.1016/j.laa.2015.11.012 Obrir en finestra nova
Projecte finançador
MTM2011-28800-C02-02
Optimización y problemas extremales en teoria de grafos y combinatoria. Aplicacions a les redes de comunicación
Repositori
http://hdl.handle.net/2117/82783 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0024379515006758 Obrir en finestra nova
Resum
Any elliptic operator defines an automorphism on the orthogonal subspace to the eigenfunctions associated with the lowest eigenvalue, whose inverse is the orthogonal Green operator. In this study, we show that elliptic Schrödinger operators on networks that have been obtained by adding a new vertex to a given network, can be seen as perturbations of the Schrödinger operators on the initial network. Therefore, the Green function of the new network can be computed in terms of the Green function ...
Citació
Carmona, A., Encinas, A., Gago, S., Mitjana, M. Green operators of networks with a new vertex. "Linear algebra and its applications", Febrer 2016, vol. 491, p. 419-433.
Paraules clau
Discrete elliptic operators Green function Perturbations Networks
Grup de recerca
COMPTHE - Combinatòria i Teoria Discreta del Potencial pel control de paràmetres en xarxes
MAPTHE - Anàlisi matricial i Teoria Discreta del Potencial

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