Group inverse matrix of the normalized Laplacian on subdivision networks
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Cita com:
hdl:2117/334458
Tipus de documentArticle
Data publicació2020
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
In this paper we consider a subdivision of a given network and we show how the group inverse matrix of the normalized laplacian of the subdivision network is related to the group inverse matrix of the normalized laplacian of the initial given network. Our approach establishes a relationship between solutions of related Poisson problems on both structures and takes advantage on the properties of the group inverse matrix. As a consequence we get formulae for effective resistances and the Kirchhoff Index of the subdivision network expressed in terms of its corresponding in the base network. Finally, we study two examples where the base network are the star and the wheel, respectively.
CitacióCarmona, A.; Mitjana, M.; Monso, E. Group inverse matrix of the normalized Laplacian on subdivision networks. "Applicable analysis and discrete mathematics", 2020, vol. 14, p. 272-286.
ISSN1452-8630
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