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Effective resistances and Kirchhoff index in subdivision networks

Author
Carmona, A.; Mitjana, M.; Monso, E.
Type of activity
Presentation of work at congresses
Name of edition
7th European Congress of Mathematics
Date of publication
2016
Presentation's date
2016-07-20
Book of congress proceedings
7ECM Berlin 2016: 7th European Congress of Mathematics, July 18-22, 2016, Technische Universität Berlin
First page
1
Last page
4
Repository
http://hdl.handle.net/2117/107170 Open in new window
Abstract
In this work we compute the effective resistances and the Kirchhoff Index of subdivision networks in terms of the corresponding parameters of the original network. Our techniques are based on the study of discrete operators using discrete Potential Theory. Starting from a given network G = ( V, E, c ), we add a new vertex v xy at every edge { x, y } ¿ E and define new conductances c ( x, v xy ) so as to satisfy the electrical compatibility condition 1 c ( x, y ) = 1 c ( x, v xy ) + 1 c ( y, v x...
Citation
Carmona, A., Monso, E., Mitjana, M. Effective resistances and Kirchhoff index in subdivision networks. A: European Congress of Mathematics. "7ECM Berlin 2016: 7th European Congress of Mathematics, July 18-22, 2016, Technische Universität Berlin". Berlin: 2016, p. 70.
Group of research
MAPTHE - Matrix Analysis and Discrete Potential Theory

Participants