2007
DOI: 10.1016/j.physa.2007.01.006
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Network formed by traces of random walks

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Cited by 10 publications
(9 citation statements)
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“…N. Ikeda [16] proposed a model of time evolving networks by random walks. We have groups of experiments with the simulation data, including personal information in social networks and re-tweeting relationships.…”
Section: A Datasetmentioning
confidence: 99%
“…N. Ikeda [16] proposed a model of time evolving networks by random walks. We have groups of experiments with the simulation data, including personal information in social networks and re-tweeting relationships.…”
Section: A Datasetmentioning
confidence: 99%
“…Each shortcut link is added between the current resident node of a randomly chosen packet and a randomly chosen node from the nodes that have already been visited on the routing path before arriving at its terminal. Such a direct shortcut between nodes separated by more than two hops suppresses the forming of a quasi-complete graph [11,12] in the hop-by-hop connections. To compare the communication efficiency and the robustness of connectivity with LS and PR networks, we further consider a Random Shortcut(RS) network.…”
Section: Network Self-organizationmentioning
confidence: 99%
“…Another idea of path reinforcement is introduced by iteratively adding a bypass between nodes separated by two hops on frequently traveled paths [11,12]. Through the induced diffusion process by random walkers, quasi-complete and scale-free (SF) networks emerge from the initial 1D-chain and 2D-lattice, respectively.…”
Section: Introductionmentioning
confidence: 99%
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“…This paper studies a simple network model where random transits, represented by a random walker, stimulate short-cut creations in the network [25,26]. The rule is that new edges are created between the vertex where the random walker is situated currently and the vertex where the random walker was two time-steps before.…”
mentioning
confidence: 99%