Watts and Strogatz Degree Distribution
P(k)=f(k,K)∑n=0CnK2⋅(1-β)n⋅βK2-n⋅(beta⋅K2)k-K2-n⋅e-beta⋅K2(k-K2-n!),wheref(k,K)=min(k-K2,K2)
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This equation computes the degree distribution value for the number of edges, ki, of the i-th node, where 0 < β < 1.
Inputs
k - number edges, ki for i-th node
K - mean number of edges incident on a vertex
β - characteristic constant of the network
Description
This model describes networks that exhibit the "small world" phenomenon, which is the theory that any person on the planet is a small number of connections away from any other person in the world.
Small world phenomena is not limited to people-related networks. Other networks exhibit the same nodal relationships described by this model.
This equation, Watts and Strogatz Degree Distribution, references 4 pages
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