Network Topology——Degree-Distribution Theory
Dinghua Shi
Abstract
Dinghua Shi
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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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)