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Let G be a plane bipartite graph. The Z-transformation graph Z(G) and its orientatioñ Z(G) on the maximum matchings of G are deÿned. If G has a perfect matching, Z(G) and˜Z(G) are the usual Z-transformation graph and digraph. If G has neither isolated vertices nor perfect matching, then Z(G) is not connected. This paper mainly shows that some basic results… (More)

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