Equivalent double-loop networks

Abstract

Hwang and Xu defined equivalent double-loop networks and gave one such result showing that the L-shapes of the two equivalent networks: are recombinations of three rectangles. Recently, Rodseth gave an elegant algebraic theorem for equivalent multi-loop networks. We show that its double-loop version yields equivalent networks of the 3-rectangle version. We also show that other seemingly different geometric recombinations also all turn out to be special cases of the 3-rectangle version.