کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
11011990 1802609 2019 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Laplacian spectrum and average trapping time for weighted Dyson hierarchical network
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
The Laplacian spectrum and average trapping time for weighted Dyson hierarchical network
چکیده انگلیسی
In this paper, we consider the weighted Dyson hierarchical network, that is a weighted fully-connected network, where the pattern of weights is ruled by a weight factor. Given that the Laplacian operator is intrinsically implied in the analysis of dynamic processes occurring on complex networks, Laplacian spectrum allows addressing analytically a large class of problems. Exploiting the deterministic recursive structure, we are able to derive explicitly all eigenvalues and their corresponding eigenvectors of Laplacian matrix. Further, we derive exact solutions of the trapping time (TT) and average trapping time (ATT) on the weighted Dyson hierarchical network with weight-dependent walk. The obtained results show that TT and ATT are related to the weight factor of the weighted Dyson hierarchical network.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 515, 1 February 2019, Pages 510-518
نویسندگان
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