Results 11 to 20 of about 4,242,053 (289)
Degree resistance distance of unicyclic graphs [PDF]
Transactions on Combinatorics, 2012 Let G be a connected graph with vertex set V(G). The degree resistance distance of G is defined as the sum over all pairs of vertices of the terms [d(u)+d(v)] R(u,v), where d(u) is the degree of vertex u, and R(u,v) denotes the resistance distance ...
Ivan Gutman, Linhua Feng, Guihai Yu
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Resistance distance, information centrality, node vulnerability and vibrations in complex networks [PDF]
, 2010 We discuss three seemingly unrelated quantities that have been introduced in different fields of science for complex networks. The three quantities are the resistance distance, the information centrality and the node displacement.
Estrada, Ernesto, Hatano, Naomichi
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Resistance Distances In Simplicial Networks
The Computer Journal, 2022 Abstract It is well known that in many real networks, such as brain networks and scientific collaboration networks, there exist higher order nonpairwise relations among nodes, i.e. interactions between more than two nodes at a time.
Mingzhe Zhu +4 more
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Parasites & Vectors, 2022 Background Improved understanding of the molecular basis of insecticide resistance may yield new opportunities for control of relevant disease vectors. In this current study, we investigated the quantification responses for the phenotypic and genotypic ...
Mas Azlin M. Akhir +6 more
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Frames and factorization of graph Laplacians [PDF]
Opuscula Mathematica, 2015 Using functions from electrical networks (graphs with resistors assigned to edges), we prove existence (with explicit formulas) of a canonical Parseval frame in the energy Hilbert space \(\mathscr{H}_{E}\) of a prescribed infinite (or finite) network ...
Palle Jorgensen, Feng Tian
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Generalized inverses in graph theory
AKCE International Journal of Graphs and Combinatorics, 2023 –In this article, some interesting applications of generalized inverses in the graph theory are revisited. Interesting properties of generalized inverses are employed to make the proof of several known results simpler, and several techniques such as ...
Umashankara Kelathaya +2 more
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Resistance-Distance Sum Rules [PDF]
Croatica Chemica Acta, 2002 The Chemical potential for a novel intrinsic graph metric, the resistance distance, is briefly recalled, and then a number of »sum rules« for this metric are established. »Global« and »local« types of sum rules are identified. The sums in the »global« sum rules are graph invariants, and the sum rules provide inter-relations amongst different invariants,
Klein, Douglas J. +2 more
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Resistance Distances in Linear Polyacene Graphs
Frontiers in Physics, 2021 The resistance distance between any two vertices of a connected graph is defined as the net effective resistance between them in the electrical network constructed from the graph by replacing each edge with a unit resistor.
Dayong Wang, Yujun Yang
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Monotonicity of random walks’ states on finite grids
Журнал Белорусского государственного университета: Математика, информатика, 2022 In this paper two ways to order the nodes of a graph with respect to an arbitrary node are considered, both connected to random walks on the graph. The first one is the order according to probabilities of states of a random walk of fixed length started ...
Anna O. Zadorozhnuyk
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Evolutionary community discovery in dynamic social networks via resistance distance [PDF]
, 2021 Traditional social community discovery methods concentrate mainly on static social networks, but the analysis of dynamic networks is a prerequisite for real-time and personalized social services.
Dai, Hongning +7 more
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