REGULAR GRAPHS WITH PRESCRIBED CHROMATIC NUMBER

被引:1
作者
CACCETTA, L [1 ]
PULLMAN, NJ [1 ]
机构
[1] QUEENS UNIV,KINGSTON K7L 3N6,ONTARIO,CANADA
关键词
D O I
10.1002/jgt.3190140107
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We determine the minimum number of edges in a regular connected graph on n vertices, containing a complete subgraph of order k ≤ n/2. This enables us to confirm and strengthen a conjecture of P. Erdös on the existence of regular graphs with prescribed chromatic number. Copyright © 1990 Wiley Periodicals, Inc., A Wiley Company
引用
收藏
页码:65 / 71
页数:7
相关论文
共 50 条
[41]   The Robust Chromatic Number of Graphs [J].
Bacso, Gabor ;
Patkos, Balazs ;
Tuza, Zsolt ;
Vizer, Mate .
GRAPHS AND COMBINATORICS, 2024, 40 (04)
[42]   On the harmonious chromatic number of graphs [J].
Araujo-Pardo, Gabriela ;
Montellano-Ballesteros, Juan Jose ;
Olsen, Mika ;
Rubio-Montiel, Christian .
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2024, 30 (02)
[43]   On Indicated Chromatic Number of Graphs [J].
S. Francis Raj ;
R. Pandiya Raj ;
H. P. Patil .
Graphs and Combinatorics, 2017, 33 :203-219
[44]   Isolation of Regular Graphs and k-Chromatic Graphs [J].
Borg, Peter .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2024, 21 (05)
[45]   On the chromatic number of random graphs [J].
Coja-Oghlan, Amin ;
Panagiotou, Konstantinos ;
Steger, Angelika .
JOURNAL OF COMBINATORIAL THEORY SERIES B, 2008, 98 (05) :980-993
[46]   On the strong chromatic number of graphs [J].
Axenovich, Maria ;
Martin, Ryan .
SIAM JOURNAL ON DISCRETE MATHEMATICS, 2006, 20 (03) :741-747
[47]   Chromatic number and subtrees of graphs [J].
Xu, Baogang ;
Zhang, Yingli .
FRONTIERS OF MATHEMATICS IN CHINA, 2017, 12 (02) :441-457
[48]   The chromatic number of oriented graphs [J].
Sopena, E .
JOURNAL OF GRAPH THEORY, 1997, 25 (03) :191-205
[49]   COMPLEMENTARY GRAPHS AND THE CHROMATIC NUMBER [J].
Starr, Colin L. ;
Turner, Galen E., III .
MISSOURI JOURNAL OF MATHEMATICAL SCIENCES, 2008, 20 (01) :19-26
[50]   CHROMATIC NUMBER OF SKEW GRAPHS [J].
PAHLINGS, H .
JOURNAL OF COMBINATORIAL THEORY SERIES B, 1978, 25 (03) :303-306