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- W2379806128 abstract "By constructing growing network model of hierarchical tree,it is found that emerging preferential mechanism in which cumulative degree for a node is increased originates from structural character of hierarchical tree in spite of random and equal-probability addition of a new department.It has been proved through theoretical analysis and numerical simulation that relationship between probability P(kcum) of cumulative degree of a node with kcum and kcum approximately follows power law distribution: P(kcum)=m2kcum-2/(m-1)(kcum≥2) when span of control keeps constant.It is indicated that as for cumulative degree distribution scale-free behavior can emerge from a growing network model without preferential mechanism,because structural characteristic of hierarchical tree make cumulative degree varied following preferential mechanism of the rich get richer.The results give us new insights of feature of hierarchical tree structure and have an important meaning for application of Cayley tree and its similar structure." @default.
- W2379806128 created "2016-06-24" @default.
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- W2379806128 date "2007-01-01" @default.
- W2379806128 modified "2023-09-25" @default.
- W2379806128 title "The Scale-free Behavior in Hierarchical Tree Structure" @default.
- W2379806128 hasPublicationYear "2007" @default.
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