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Friends-Help Mechanism for Generating a Class of Scale-Free Networks

Zhuzhi Yuan

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Abstract

A new scale-free network evolving model was proposed on network evolutions.This model may help to capture the dynamic processes of how the networks are formed by means of the friends-help mechanism and understand its influence on the final topology of the networks.The model may also have some practical significance for people to capture the performance of the network and the dynamics on the network.Theoretical analysis and numerical simulations results show that the network evolving model has the scale-free and small-world features.Therefore,it is more realistic than the BA network.

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What this paper is about

A new scale-free network evolving model was proposed on network evolutions.This model may help to capture the dynamic processes of how the networks are formed by means of the friends-help mechanism and understand its influence on the final topology of the networks.The model may also have some practical significance for people to capture the performance of the network and the dynamics on the network.Theoretical analysis and numerical simulations results show that the network evolving model has the scale-free and small-world features.Therefore,it is more realistic than the BA network.

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Available abstract

A new scale-free network evolving model was proposed on network evolutions.This model may help to capture the dynamic processes of how the networks are formed by means of the friends-help mechanism and understand its influence on the final topology of the networks.The model may also have some practical significance for people to capture the performance of the network and the dynamics on the network.Theoretical analysis and numerical simulations results show that the network evolving model has the scale-free and small-world features.Therefore,it is more realistic than the BA network.

Key concepts: Scale-free network, Mechanism (biology), Computer science, Network formation, Preferential attachment, Scale (ratio), Class (philosophy), Complex network

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