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Structural cut-off : ウィキペディア英語版
Structural cut-off

The structural cut-off is a concept in network science which imposes a degree cut-off in the degree distribution of a finite size network due to structural limitations (such as the simple graph property). Networks with vertices with degree higher than the structural cut-off will display structural disassortativity.
==Definition==
The structural cut-off is a maximum degree cut-off that arises from the structure of a finite size network.
Let E_ be the number of edges between all vertices of degree k and k' if k \neq k', and twice the number if k=k'.
Given that multiple edges between two vertices are not allowed, E_ is bounded by the maximum number of edges between two degree classes m_ .
Then, the ratio can be written
: r_ \equiv \frac} = \frac/\langle k \rangle N is the probability that a randomly picked edge will connect on one side a vertex with degree k with a vertex of degree k'.
To be in the physical region, r_ \leq 1 must be satisfied.
The structural cut-off k_s is then defined by
r_ = 1 .


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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