Group inverse of the laplacian of connections of networks

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Title:	Group inverse of the laplacian of connections of networks
Author:	Gago Álvarez, Silvia
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques
Abstract:	In previous works the group inverse of a network obtained by some perturbations, as the deletion of a vertex, the addition of a new vertex, contraction of an edge, etc. is obtained in terms of the group inverse of the original network. In this work, two given networks are connected with some new edges and the group inverse of the new network is related with the group inverses of the two original networks. In particular, the formula for the connection of two networks by just one edge is obtained, and besides the formula for the Kirchhoff index of this kind of network.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Connections (Mathematics) -Group inverse -Connections -Networks -Kirchhoff index -Connexions (Matemàtica)
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Draft Report
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