EVOLVING NETWORKS DRIVEN BY NODE DYNAMICS
Zhengping Fan, Guanrong Chen
Abstract
Zhengping Fan, Guanrong Chen
Abstract
In this paper, a new model of evolving networks is proposed based on the dynamical behaviors of nodes in the network. The probability that an existing node in the current network receives a new link from the newly added node is proportional to the defined "activity" of that particular node, which is equivalent to the energy signal of the system from a control theory point of view. This network is found to have the scale-free feature with the degree distribution in a power-law form. This model provides another explanation for the emergence of scale-free networks in many real-world examples.
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In this paper, a new model of evolving networks is proposed based on the dynamical behaviors of nodes in the network. The probability that an existing node in the current network receives a new link from the newly added node is proportional to the defined "activity" of that particular node, which is equivalent to the energy signal of the system from a control theory point of view. This network is found to have the scale-free feature with the degree distribution in a power-law form. This model provides another explanation for the emergence of scale-free networks in many real-world examples.
Key concepts: Node (physics), Computer science, Scale-free network, Degree distribution, Complex network, Evolving networks, Topology (electrical circuits), Network dynamics