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Network Topology——Degree-Distribution Theory

Dinghua Shi

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Abstract

The BA model,hierarchical networks,network statistics,degree correlation,etc.were discussed by our group,and a concept of network Markov chains was introduced to the complex networks research community.Under an Markov chain framework,we provided a simple iterative method instead of simulation to compute network degree distribution for a class of growing networks,and from this gave some general criteria for judging whether a set of network generating mechanisms can ensure the existence of the steady-stage degree distribution and whether the steady-stage degree distribution is scale-free.

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What this paper is about

The BA model,hierarchical networks,network statistics,degree correlation,etc.were discussed by our group,and a concept of network Markov chains was introduced to the complex networks research community.Under an Markov chain framework,we provided a simple iterative method instead of simulation to compute network degree distribution for a class of growing networks,and from this gave some general criteria for judging whether a set of network generating mechanisms can ensure the existence of the steady-stage degree distribution and whether the steady-stage degree distribution is scale-free.

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Available abstract

The BA model,hierarchical networks,network statistics,degree correlation,etc.were discussed by our group,and a concept of network Markov chains was introduced to the complex networks research community.Under an Markov chain framework,we provided a simple iterative method instead of simulation to compute network degree distribution for a class of growing networks,and from this gave some general criteria for judging whether a set of network generating mechanisms can ensure the existence of the steady-stage degree distribution and whether the steady-stage degree distribution is scale-free.

Key concepts: Degree (music), Degree distribution, Markov chain, Computer science, Complex network, Scale-free network, Simple (philosophy), Set (abstract data type)

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