RECOGNIZING BULL-FREE PERFECT GRAPHS

被引:26
作者
REED, B
SBIHI, N
机构
[1] UNIV WATERLOO,DEPT COMBINATOR & OPTIMIZAT,WATERLOO,ON N2L 3G1,CANADA
[2] CTR NATL COORDINAT & PLANIFICAT RECH SCI & TECH,RABAT,MOROCCO
关键词
D O I
10.1007/BF01929485
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A bull is the graph obtained from a triangle by adding two pendant vertices adjacent to distinct vertices of the triangle. Chvatal and Sbihi showed that the strong perfect graph conjecture holds for Bull-free graphs. We give a polynomial time recognition algorithm for Bull-free perfect graphs.
引用
收藏
页码:171 / 178
页数:8
相关论文
共 12 条
[1]  
BERGE C, 1984, TOPICS PERFECT GRAPH, pR11
[2]  
Berge C., 1961, FARBUNG GRAPHEN DERE, P114
[3]  
BURLET M, 1984, TOPICS PERFECT GRAPH, pR11
[4]   STAR-CUTSETS AND PERFECT GRAPHS [J].
CHVATAL, V .
JOURNAL OF COMBINATORIAL THEORY SERIES B, 1985, 39 (03) :189-199
[5]  
CHVATAL V, 1987, GRAPH COMBINATOR, P127
[6]  
Dirac Gabriel Andrew, 1961, ABH MATH SEM HAMBURG, V25, P71, DOI [10.1007/BF02992776, DOI 10.1007/BF02992776]
[7]  
FONLUPT J, UNPUB POLYNOMIAL REC
[8]  
Golumbic M. C., 1980, ALGORITHMIC GRAPH TH
[9]   THE ELLIPSOID METHOD AND ITS CONSEQUENCES IN COMBINATORIAL OPTIMIZATION [J].
GROTSCHEL, M ;
LOVASZ, L ;
SCHRIJVER, A .
COMBINATORICA, 1981, 1 (02) :169-197
[10]   WEAKLY TRIANGULATED GRAPHS [J].
HAYWARD, RB .
JOURNAL OF COMBINATORIAL THEORY SERIES B, 1985, 39 (03) :200-209