Meyniel weakly triangulated graphs .2. A theorem of Dirac

被引:5
作者
Hayward, RB
机构
[1] Dept. of Math. and Computer Science, University of Lethbridge, Lethbridge, AB T1K 3M4
基金
加拿大自然科学与工程研究理事会;
关键词
weakly triangulated graph; Meyniel graph; handle;
D O I
10.1016/S0166-218X(97)00058-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We generalize a theorem due to Dirac and show that every Meyniel weakly trianylated graph has some vertex which is not the middle vertex of any P-5. Our main tool is a separating set notion known as a handle. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:283 / 289
页数:7
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Meyniel H., 1976, DISCRETE MATH, V16, P334