摘要
A near-triangulation is such a connected planar graph whose inner faces are all triangles but the outer face may be not. Let G be a near-triangulation of order n and C be an SCDC (small circuit double cover)[2] of G. Let Then, C0 is said to he an equilibrium SCDC of G. In this paper, we show that if G is an outer planar graph, δ(C0)≤2, otherwiseδ(C0) ≤4.
近三角剖分图是一连通平面图,其内面均为三角形而其外面可能不是.令G为一具有n个节点的近三角剖分图,C为 G的一个小圈二重覆盖(SCDC)[2].令则C0。称为G的均衡小圈二重覆盖.本文将证明:若G为外平面图,则 δ(C0)≤ 2;否则δ(C0)≤4。
基金
Supported by the National Natural Science Foundation of China (69973001)