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- W1995922106 abstract "Deterministic network models have been attractive media for discussing dynamical processes' dependence on network structural features. On the other hand, the heterogeneity of weights affect dynamical processes taking place on networks. In this paper, we present a family of weighted expanded Koch networks based on Koch networks. They originate from a r-polygon, and each node of current generation produces m r-polygons including the node and whose weighted edges are scaled by factor w in subsequent evolutionary step. We derive closed-form expressions for average weighted shortest path length (AWSP). In large network, AWSP stays bounded with network order growing (0 < w < 1). Then, we focus on a special random walks and trapping issue on the networks. In more detail, we calculate exactly the average receiving time (ART). ART exhibits a sub-linear dependence on network order (0 < w < 1), which implies that nontrivial weighted expanded Koch networks are more efficient than un-weighted expanded Koch networks in receiving information. Besides, efficiency of receiving information at hub nodes is also dependent on parameters m and r. These findings may pave the way for controlling information transportation on general weighted networks." @default.
- W1995922106 created "2016-06-24" @default.
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- W1995922106 date "2014-05-29" @default.
- W1995922106 modified "2023-09-26" @default.
- W1995922106 title "Scaling of average weighted shortest path and average receiving time on weighted expanded Koch networks" @default.
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- W1995922106 doi "https://doi.org/10.1142/s0217979214501112" @default.
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