THE NUMBER OF REMOVABLE EDGES IN PLANAR 3-CONNECTED GRAPHS
- 数学科学－已发表论文 
设e是3连通图G的一边。如果G-e是某个3连通图的剖分,则称e是G的可去边。用v表示G的顶点数,本文证明了当v≥6时,3连通平面图G的可去边数的下界是v+4/2,此下界是可以达到的。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.