Evolving Model of Weighted Networks Inspired by Scientific Collaboration Networks

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dc.creatorLi, Menghui
dc.creatorWu, Jinshan
dc.creatorWang, Dahui
dc.creatorZhou, Tao
dc.creatorDi, Zengru
dc.creatorFan, Ying
dc.date2005-01-27
dc.date2005-01-28
dc.date.accessioned2026-07-07T03:03:28Z
dc.date.available2026-07-07T03:03:28Z
dc.descriptionInspired by scientific collaboration networks, especially our empirical analysis of the network of econophysicists, an evolutionary model for weighted networks is proposed. Both degree-driven and weight-driven models are considered. Compared with the BA model and other evolving models with preferential attachment, there are two significant generalizations. First, besides the new vertex added in at every time step, old vertices can also attempt to build up new links, or to reconnect the existing links. The reconnection between both new-old and old-old nodes are recorded and the connecting times on every link is converted into the weight of the link. This provides a natural way for the evolution of edge weight. Second, besides degree and the weight of vertices, a path-related local information is also used as a reference in the preferential attachment. The path-related preferential attachment mechanism significantly increases the clustering coefficient of the network. The model shows the scale-free phenomena in degree and weight distribution. It also gives well qualitatively consistent behavior with the empirical results.
dc.description22 pages, 10 figures, an error in Fig(7) is corrected
dc.identifierhttps://arxiv.org/abs/cond-mat/0501655
dc.identifierhttp://arxiv.org/abs/cond-mat/0501655
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25760
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleEvolving Model of Weighted Networks Inspired by Scientific Collaboration Networks
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