K_n二边着色的单色三角形性质

The Character of Sole-color Triangle about a 2-edge Coloring of K_n

讨论完全图Kn 的任意二边着色 ,在Kn 二边着色具有两个单色三角形的基础上 ,用组合的方法推得 :当n≥ 7时 ,存在两个无公共边的单色三角形 ;当n≥ 8,存在两个无公共点的单色三角形 .

In this paper, we discuss the character of sole - color triangle about a 2-edge coloring of K n,basing on the theorem that a z-edge coloring of K 6 has two sole-color triangles;and we can draw conclusio ns:if n≥7,there are two sole-color triangles without common edge;if n≥8, there are two sole-color triangles,without a common vertex .