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OALib Journal期刊
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THE NUMBER OF REMOVABLE EDGES IN PLANAR 3-CONNECTED GRAPHS
3连通平面图的可去边数

Keywords: Planar 3-connected graph,removable edge,maximal semiwheel
3连通平面图
,可去边数,极大半轮

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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.

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