On the Chromatic Number of Triangle-Free Graphs of Large Minimum Degree

被引：0
|
作者：
Carsten Thomassen
机构：
[1] Technical University of Denmark,Department of Mathematics
来源：
Combinatorica | 2002年 / 22卷
关键词：
05C15; 05C35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that, for each fixed real number c > 1/3, the triangle-free graphs of minimum degree at least cn (where n is the number of vertices) have bounded chromatic number. This problem was raised by Erdős and Simonovits in 1973 who pointed out that there is no such result for c < 1/3.
引用
收藏
页码：591 / 596
页数：5
相关论文
共 50 条
  • [1] On the chromatic number of triangle-free graphs of large minimum degree
    Thomassen, C
    [J]. COMBINATORICA, 2002, 22 (04) : 591 - 596
  • [2] Cycles in triangle-free graphs of large chromatic number
    Alexandr Kostochka
    Benny Sudakov
    Jacques Verstraëte
    [J]. Combinatorica, 2017, 37 : 481 - 494
  • [3] Cycles in triangle-free graphs of large chromatic number
    Kostochka, Alexandr
    Sudakov, Benny
    Verstraete, Jacques
    [J]. COMBINATORICA, 2017, 37 (03) : 481 - 494
  • [4] On The Structure Of Triangle-Free Graphs Of Large Minimum Degree
    Tomasz Łuczak*
    [J]. Combinatorica, 2006, 26 : 489 - 493
  • [5] On the structure of triangle-free graphs of large minimum degree
    Luczak, Tomasz
    [J]. COMBINATORICA, 2006, 26 (04) : 489 - 493
  • [6] Triangle-Free Geometric Intersection Graphs with Large Chromatic Number
    Arkadiusz Pawlik
    Jakub Kozik
    Tomasz Krawczyk
    Michał Lasoń
    Piotr Micek
    William T. Trotter
    Bartosz Walczak
    [J]. Discrete & Computational Geometry, 2013, 50 : 714 - 726
  • [7] Triangle-free graphs with large chromatic number and no induced wheel
    Davies, James
    [J]. JOURNAL OF GRAPH THEORY, 2023, 103 (01) : 112 - 118
  • [8] Triangle-Free Geometric Intersection Graphs with Large Chromatic Number
    Pawlik, Arkadiusz
    Kozik, Jakub
    Krawczyk, Tomasz
    Lason, Michal
    Micek, Piotr
    Trotter, William T.
    Walczak, Bartosz
    [J]. DISCRETE & COMPUTATIONAL GEOMETRY, 2013, 50 (03) : 714 - 726
  • [9] On the chromatic index of join graphs and triangle-free graphs with large maximum degree
    Zorzi, A.
    Zatesko, L. M.
    [J]. DISCRETE APPLIED MATHEMATICS, 2018, 245 : 183 - 189
  • [10] Triangle-free intersection graphs of line segments with large chromatic number
    Pawlik, Arkadiusz
    Kozik, Jakub
    Krawczyk, Tomasz
    Lason, Michal
    Micek, Piotr
    Trotter, William T.
    Walczak, Bartosz
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 2014, 105 : 6 - 10
12345