Loading...
Loading...

Go to the content (press return)

Green's function in partial subdivision networks

Author
Carmona, A.; Mitjana, M.; Monso, E.
Type of activity
Journal article
Journal
Linear and multilinear algebra
Date of publication
2018-07-24
DOI
https://doi.org/10.1080/03081087.2018.1499704 Open in new window
Repository
http://hdl.handle.net/2117/126115 Open in new window
Abstract
In the present work, we define a partial subdivision network of a given network G, by inserting a new vertex in some selected edges of G, so that each of these edges is replaced by two new edges with conductances that fulfil the Kirchhoff series law on the new network. Then, we obtain an expression for the Green kernel of the partial subdivision network in terms of the Green kernel of the base network. For that, we show the relation between Poisson problems on the partial subdivision network and...
Citation
Carmona, A., Mitjana, M., Monso, E. Green's function in partial subdivision networks. "Linear and multilinear algebra", 24 Juliol 2018.
Keywords
Green kernel, Kirchhoff index, Resistance distance, partial subdivision network
Group of research
MAPTHE - Matrix Analysis and Discrete Potential Theory