Article,

Resistance Distance

, and .
Journal of Mathematical Chemistry, 12 (1): 81--95 (1993)
DOI: 10.1007/BF01164627

Abstract

The theory of resistive electrical networks is invoked to develop a novel view: if fixed resistors are assigned to each edge of a connected graph, then the effective resistance between pairs of vertices is a graphical distance. Several theorems concerning this novel distance function are established.

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