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Green operators of networks with a new vertex

Author
Carmona, A.; Encinas, A.; Gago, S.; Mitjana, M.
Type of activity
Journal article
Journal
Linear algebra and its applications
Date of publication
2016-02-15
Volume
491
First page
419
Last page
433
DOI
https://doi.org/10.1016/j.laa.2015.11.012 Open in new window
Project funding
MTM2011-28800-C02-02
Optimización y problemas extremales en teoria de grafos y combinatoria. Aplicacions a les redes de comunicación
Repository
http://hdl.handle.net/2117/82783 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0024379515006758 Open in new window
Abstract
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 ...
Citation
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.
Keywords
Discrete elliptic operators Green function Perturbations Networks
Group of research
COMPTHE - Matrix Analysis and Discrete Potential Theory
MAPTHE - Matrix Analysis and Discrete Potential Theory

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