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The group inverse of subdivision networks

Author
Carmona, A.; Mitjana, M.; Monso, E.
Type of activity
Journal article
Journal
Electronic notes in discrete mathematics
Date of publication
2016-10
Volume
54
First page
295
Last page
300
DOI
https://doi.org/10.1016/j.endm.2016.09.051 Open in new window
Project funding
The effective resistance as a tool for the study of the inverse problem of the conductances and the analysis of the perturbations on networks
Repository
http://hdl.handle.net/2117/101529 Open in new window
Abstract
In this paper, given a network and a subdivision of it, we show how the Group Inverse of the subdivision network can be related to the Group Inverse of initial given network. Our approach establishes a relationship between solutions of related Poisson problems on both networks and takes advantatge on the definition of the Group Inverse matrix.
Citation
Carmona, A., Mitjana, M., Monso, E. The group inverse of subdivision networks. "Electronic notes in discrete mathematics", Octubre 2016, vol. 54, p. 295-300.
Keywords
Group Inverse, Laplacian Matrix, Network, Subdivision
Group of research
MAPTHE - Matrix Analysis and Discrete Potential Theory

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