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
相关论文
共 12 条
[1]   CHARACTERIZATIONS OF TOTALLY BALANCED MATRICES [J].
ANSTEE, RP ;
FARBER, M .
JOURNAL OF ALGORITHMS, 1984, 5 (02) :215-230
[2]  
BROUWER AE, 1980, 14680 ZW MATH CENTR
[3]  
CHVTAL V, 1993, IN PRESS P 1993 WORK
[4]  
DATRI A, 1984, 3RD P ACM S PODS, P1
[5]  
Dirac G. A., 1961, Abh. Math. Semin. Univ. Hambg, V25, P71, DOI DOI 10.1007/BF02992776
[6]   A CHARACTERIZATION OF SOME GRAPH CLASSES WITH NO LONG HOLES [J].
ESCHEN, E ;
SRITHARAN, R .
JOURNAL OF COMBINATORIAL THEORY SERIES B, 1995, 65 (01) :156-162
[7]   WEAKLY TRIANGULATED GRAPHS [J].
HAYWARD, RB .
JOURNAL OF COMBINATORIAL THEORY SERIES B, 1985, 39 (03) :200-209
[8]  
HAYWARD RB, DMCSTRCS0294 U LETHB
[9]   ON BRITTLE GRAPHS [J].
HOANG, CT ;
KHOUZAM, N .
JOURNAL OF GRAPH THEORY, 1988, 12 (03) :391-404
[10]   A CHARMING CLASS OF PERFECTLY ORDERABLE GRAPHS [J].
HOANG, CT ;
MAFFRAY, F ;
OLARIU, S ;
PREISSMANN, M .
DISCRETE MATHEMATICS, 1992, 102 (01) :67-74