2015
DOI: 10.1038/srep18210
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RETRACTED ARTICLE: Modified box dimension and average weighted receiving time on the weighted fractal networks

Abstract: In this paper a family of weighted fractal networks, in which the weights of edges have been assigned to different values with certain scale, are studied. For the case of the weighted fractal networks the definition of modified box dimension is introduced, and a rigorous proof for its existence is given. Then, the modified box dimension depending on the weighted factor and the number of copies is deduced. Assuming that the walker, at each step, starting from its current node, moves uniformly to any of its near… Show more

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Cited by 12 publications
(1 citation statement)
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“…In this paper, intuited by the weight driven networks [10] and the weighted networks with weight factor [12,13,14], the weighted network with two hub nodes is built. We study analytically the eigentime identity for normalized Laplacian matrix of weighted network with two hub nodes carrying a weight factor.…”
Section: Dai Et Al Eigenvalues Of Transition Weight Matrix and Ementioning
confidence: 99%
“…In this paper, intuited by the weight driven networks [10] and the weighted networks with weight factor [12,13,14], the weighted network with two hub nodes is built. We study analytically the eigentime identity for normalized Laplacian matrix of weighted network with two hub nodes carrying a weight factor.…”
Section: Dai Et Al Eigenvalues Of Transition Weight Matrix and Ementioning
confidence: 99%