Resistance distances in extended or contracted networks
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Cita com:
hdl:2117/131527
Tipus de documentArticle
Data publicació2019-09-01
EditorElsevier
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
In this paper we introduce new effective resistances on a given network, associated with a positive value and two weights on the vertex set and investigate under which conditions they determine a distance. We prove that this property is closely related with superharmonicity. Moreover, we analyze the behavior of these distances under the usual network transformations, specially the so-called star-mesh transformation. We also compute the effective resistance for an extended network; that is, the network obtained from the former one by joining a new vertex, and then study the effect of the contraction of this new network; that is, we apply a star-mesh transformation with center in the joined vertex.
CitacióCarmona, A.; Encinas, A.; Mitjana, M. Resistance distances in extended or contracted networks. "Linear algebra and its applications", September 2019, vol. 576, pp.5-34
ISSN0024-3795
Versió de l'editorhttps://www.sciencedirect.com/science/article/abs/pii/S0024379518300405
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Extension and contraction.pdf | 423,5Kb | Visualitza/Obre |