EQUIVALENT DOUBLE-LOOP NETWORKS

Shaowu Huang, F. K. Hwang, Y. H. Liu · Taiwanese Journal of Mathematics · 2000

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, R¨odseth 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.

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