Abstract

The computation of resistance between two nodes in networks is a fundamental problem in both electric theory and graph theory. In this paper, first, a recursive algorithm for computing resistance between any two nodes in a family of self-similar (x,y)-flower networks is given. The (x,y)-flower networks display rich behavior as observed in a large variety of real systems. Then as explanations, using the algorithm, explicit expressions for some resistances in (1,3)-flower networks and (2,2)-flower networks are obtained.

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