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
来源：
JOURNAL OF GRAPH THEORY | 1990年 / 14卷 / 01期
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
  • [1] The chromatic number of random regular graphs
    Achlioptas, D
    Moore, C
    APPROXIMATION, RANDOMIZATION, AND COMBINATORIAL OPTIMIZATION: ALGORITHMS AND TECHNIQUES, PROCEEDINGS, 2004, 3122 : 219 - 228
  • [2] Dynamic chromatic number of regular graphs
    Alishahi, Meysam
    DISCRETE APPLIED MATHEMATICS, 2012, 160 (15) : 2098 - 2103
  • [3] On the chromatic number of random regular graphs
    Coja-Oghlan, Amin
    Efthymiou, Charilaos
    Hetterich, Samuel
    JOURNAL OF COMBINATORIAL THEORY SERIES B, 2016, 116 : 367 - 439
  • [4] REGULAR GRAPHS AND EDGE CHROMATIC NUMBER
    FAUDREE, RJ
    SHEEHAN, J
    DISCRETE MATHEMATICS, 1984, 48 (2-3) : 197 - 204
  • [5] On graphs with prescribed chromatic number and subset index
    Chartrand, Gary
    Salehi, Ebrahim
    Zhang, Ping
    CONTRIBUTIONS TO MATHEMATICS, 2023, 7 : 15 - 23
  • [6] On the chromatic number of regular graphs of matrix algebras
    Tomon, Istvan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 475 : 154 - 162
  • [7] On the b-chromatic number of regular graphs
    Cabello, Sergio
    Jakovac, Marko
    DISCRETE APPLIED MATHEMATICS, 2011, 159 (13) : 1303 - 1310
  • [8] The b-chromatic number and f-chromatic vertex number of regular graphs
    El Sahili, Amine
    Kheddouci, Hamamache
    Kouider, Mekkia
    Mortada, Maidoun
    Discrete Applied Mathematics, 2014, 179 : 79 - 85
  • [9] The b-chromatic number and f-chromatic vertex number of regular graphs
    El Sahili, Amine
    Kheddouci, Hamamache
    Kouider, Mekkia
    Mortada, Maidoun
    DISCRETE APPLIED MATHEMATICS, 2014, 179 : 79 - 85
  • [10] The total chromatic number of regular graphs of high degree
    XIE DeZheng YANG WanNian College of Mathematics and Physics Chongqing University Chongqing China
    ScienceinChina(SeriesA:Mathematics), 2009, 52 (08) : 1743 - 1759
12345