Editing Resistance distance (section)

{{short description|Graph metric of electrical resistance between nodes}}

In [[graph theory]], the '''resistance distance''' between two [[vertex (graph theory)|vertices]] of a [[Graph (discrete mathematics)|simple]], [[connected graph]], {{mvar|G}}, is equal to the [[electrical resistance|resistance]] between two equivalent points on an [[electrical network]], constructed so as to correspond to {{mvar|G}}, with each [[graph (discrete mathematics)|edge]] being replaced by a [[electrical resistance|resistance]] of one [[ohm]]. It is a [[metric (mathematics)|metric]] on [[Graph (discrete mathematics)|graphs]].