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Resistance distance : ウィキペディア英語版
Resistance distance
In graph theory, the resistance distance between two vertices of a simple connected graph, ''G'', is equal to the resistance between two equivalent points on an electrical network, constructed so as to correspond to ''G'', with each edge being replaced by a 1 ohm resistance. It is a metric on graphs.
==Definition==

On a graph ''G'', the resistance distance Ω''i'',''j'' between two vertices ''vi'' and ''vj'' is
:
\Omega_:=\Gamma_+\Gamma_-\Gamma_-\Gamma_\,

where Γ is the Moore–Penrose inverse of the Laplacian matrix of ''G''.

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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