2-factors in dense graphs

被引：29
|
作者：
Alon, N [1 ]
Fischer, E [1 ]
机构：
[1] TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,DEPT MATH,IL-69978 TEL AVIV,ISRAEL
来源：
DISCRETE MATHEMATICS | 1996年 / 152卷 / 1-3期
关键词：
D O I：
10.1016/0012-365X(95)00242-O
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A conjecture of Sauer and Spencer states that any graph G on n vertices with minimum degree at least 2/3n contains any graph H on n vertices with maximum degree 2 or less. This conjecture is proven here for all sufficiently large n.
引用
收藏
页码：13 / 23
页数：11
相关论文
共 50 条
  • [41] Minimum Number of Components of 2-Factors in Iterated Line Graphs
    Shengmei Lv
    Liming Xiong
    Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 361 - 371
  • [42] On the number of components in 2-factors of claw-free graphs
    Yoshimoto, Kiyoshi
    DISCRETE MATHEMATICS, 2007, 307 (22) : 2808 - 2819
  • [43] On 2-Factors Splitting an Embedded Graph into Two Plane Graphs
    Gunnar Brinkmann
    Sara Chiers
    Carol T. Zamfirescu
    Graphs and Combinatorics, 2022, 38
  • [44] 2-factors and independent sets on claw-free graphs
    Kuzel, Roman
    Ozeki, Kenta
    Yoshimoto, Kiyoshi
    DISCRETE MATHEMATICS, 2012, 312 (02) : 202 - 206
  • [45] Closure concept for 2-factors in claw-free graphs
    Ryjacek, Zdenek
    Xiong, Liming
    Yoshimoto, Kiyoshi
    DISCRETE MATHEMATICS, 2010, 310 (10-11) : 1573 - 1579
  • [46] Existence of 2-factors in tough graphs without forbidden subgraphs
    Grimm, Elizabeth
    Johnsen, Anna
    Shan, Songling
    DISCRETE MATHEMATICS, 2023, 346 (10)
  • [47] FINDING 2-FACTORS CLOSER TO TSP TOURS IN CUBIC GRAPHS
    Boyd, Sylvia
    Iwata, Satoru
    Takazawa, Kenjiro
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2013, 27 (02) : 918 - 939
  • [48] Avoiding 7-circuits in 2-factors of cubic graphs
    Lukotka, Robert
    ELECTRONIC JOURNAL OF COMBINATORICS, 2014, 21 (04):
  • [49] Forbidden subgraphs and 2-factors in 3/2-tough graphs
    Sanka, Masahiro
    JOURNAL OF GRAPH THEORY, 2023, 103 (02) : 271 - 284
  • [50] Minimum Number of Components of 2-Factors in Iterated Line Graphs
    Lv, Shengmei
    Xiong, Liming
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 : S361 - S371
12345