ON HAMILTONIAN LINE GRAPHS AND CONNECTIVITY

被引:65
作者
ZHAN, SM
机构
[1] Department of Mathematics and Statistics, Simon Fraser University
关键词
D O I
10.1016/0012-365X(91)90401-M
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A well-known conjecture of Thomassen says that every 4-connected line graph is hamiltonian. In this paper we prove that every 7-connected line graph is hamiltonian-connected.
引用
收藏
页码:89 / 95
页数:7
相关论文
共 13 条
[1]  
ALSPACH B, 1985, ANN DISCRETE MATH, V27, P463
[2]  
BERMOND JC, 1978, SELECTED TOPICS GRAP, P127
[3]  
BERMOND JC, 1981, J GRAPH THEOR, V5, P12
[4]  
BONDY JA, 1980, GRAPH THEORY APPLICA
[5]   ON HAMILTONIAN LINE GRAPHS [J].
CLARK, L .
JOURNAL OF GRAPH THEORY, 1984, 8 (02) :303-307
[6]  
Clark L.K., 1983, ARS COMBINATORIA, V15, P131
[7]  
Harary F., 1965, CANAD MATH B, V8, P701
[8]  
HEMMINGER RL, 1978, SELECTED TOPICS GRAP, P127
[9]   LONGEST CYCLES IN R-REGULAR R-CONNECTED GRAPHS [J].
JACKSON, B ;
PARSONS, TD .
JOURNAL OF COMBINATORIAL THEORY SERIES B, 1982, 32 (03) :231-245
[10]   HAMILTONIAN RESULTS IN K1,3 FREE GRAPHS [J].
MATTHEWS, MM ;
SUMNER, DP .
JOURNAL OF GRAPH THEORY, 1984, 8 (01) :139-146