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系统科学与数学 2003
THE NUMBER OF REMOVABLE EDGES IN PLANAR 3-CONNECTED GRAPHS
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Abstract:
An edge e of a 3-connected graph G is said to be removable if G - e is a subdivision of some 3-connected graph. Let v denote the order of G. It is proved in this paper that there are at least (v+4)/2 removable edges in planar 3-connected graphs with v > 6 . The lower bound is reachable.