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Resistance distances on networks

Author
Carmona, A.; Encinas, A.; Mitjana, M.
Type of activity
Journal article
Journal
Applicable analysis and discrete mathematics
Date of publication
2017
Volume
11
Number
1
First page
136
Last page
147
DOI
https://doi.org/10.2298/AADM1701136C Open in new window
Project funding
La resistencia efectiva como herramienta para el estudio del problema inverso de las conductancias y el análisis de las perturbaciones de redes
Repository
http://hdl.handle.net/2117/105199 Open in new window
URL
http://www.doiserbia.nb.rs/Article.aspx?ID=1452-86301701136C&AspxAutoDetectCookieSupport=1 Open in new window
Abstract
This paper aims to study a family of distances in networks associated witheffective resistances. Speci cally, we consider the e ective resistance distance with respect to a positive parameter and a weight on the vertex set; that is, the effective resistance distance associated with an irreducible and symmetric M-matrix whose lowest eigenvalue is the parameter and the weight function is the associated eigenfunction. The main idea is to consider the network embedded in a host network with addition...
Citation
Carmona, A., Encinas, A., Mitjana, M. Resistance distances on networks. "Applicable analysis and discrete mathematics", 2017, vol. 11, núm. 1, p. 136-147.
Keywords
Effective resistances, Schrodinger operator, resistance distances, symmetric M-matrices.
Group of research
MAPTHE - Matrix Analysis and Discrete Potential Theory

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