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Effective resistances and Kirchhoff index in subdivision networks

Autor
Carmona, A.; Mitjana, M.; Monso, E.
Tipus d'activitat
Article en revista
Revista
Linear and multilinear algebra
Data de publicació
2016-11-12
Pàgina inicial
1
Pàgina final
15
DOI
https://doi.org/10.1080/03081087.2016.1256945 Obrir en finestra nova
Projecte finançador
La resistencia efectiva como herramienta para el estudio del problema inverso de las conductancias y el análisis de las perturbaciones de redes
Repositori
http://hdl.handle.net/2117/100002 Obrir en finestra nova
URL
http://www.tandfonline.com/doi/full/10.1080/03081087.2016.1256945 Obrir en finestra nova
Resum
We define a subdivision network ¿S of a given network ¿; by inserting a new vertex in every edge, so that each edge is replaced by two new edges with conductances that fulfill electrical conditions on the new network. In this work, we firstly obtain an expression for the Green kernel of the subdivision network in terms of the Green kernel of the base network. Moreover, we also obtain the effective resistance and the Kirchhoff index of the subdivision network in terms of the corresponding param...
Citació
Carmona, A., Mitjana, M., Monso, E. Effective resistances and Kirchhoff index in subdivision networks. "Linear and multilinear algebra", 12 Novembre 2016, p. 1-15.
Paraules clau
Green kernel, Kirchhoff Index, Resistance distance, Subdivision network
Grup de recerca
MAPTHE - Anàlisi matricial i Teoria Discreta del Potencial

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