A generalization of the Erdos-Ko-Rado theorem

被引：1
|
作者：
Alishahi, Meysam [1 ]
Hajiabolhassan, Hossein [1 ]
Taherkhani, Ali [1 ]
机构：
[1] Shaheed Beheshti Univ, Dept Math Sci, GC, Tehran, Iran
来源：
DISCRETE MATHEMATICS | 2010年 / 310卷 / 01期
关键词：
Erdos-Ko-Rado theorem; Graph homomorphism; Local chromatic number; LOCAL CHROMATIC NUMBER; COLORINGS; GRAPHS;
D O I：
10.1016/j.disc.2009.07.020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we investigate some properties of local Kneser graphs defined in [Janos Korner, Concetta Pilotto, Gabor Simonyi, Local chromatic number and sperner capacity, J. Combin. Theory Ser. B 95 (1) (2005) 101-117]. In this regard, as a generalization of the Erdos-Ko-Rado theorem, we characterize the maximum independent sets of local Kneser graphs. Next, we provide an upper bound for their chromatic number. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：188 / 191
页数：4
相关论文
共 50 条
  • [1] A generalization of the Erdos-Ko-Rado theorem
    Hegedus, Gabor
    [J]. AUSTRALASIAN JOURNAL OF COMBINATORICS, 2016, 66 : 256 - 264
  • [2] A NEW GENERALIZATION OF THE ERDOS-KO-RADO THEOREM
    FRANKL, P
    FUREDI, Z
    [J]. COMBINATORICA, 1983, 3 (3-4) : 341 - 349
  • [3] A NEW GENERALIZATION OF THE ERDOS-KO-RADO THEOREM
    PYBER, L
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1986, 43 (01) : 85 - 90
  • [4] On the stability of the Erdos-Ko-Rado theorem
    Bollobas, Bela
    Narayanan, Bhargav P.
    Raigorodskii, Andrei M.
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2016, 137 : 64 - 78
  • [5] An Erdos-Ko-Rado theorem for multisets
    Meagher, Karen
    Purdy, Alison
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2011, 18 (01):
  • [6] BEYOND THE ERDOS-KO-RADO THEOREM
    FRANKL, P
    FUREDI, Z
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1991, 56 (02) : 182 - 194
  • [7] On the Stability of the Erdos-Ko-Rado Theorem
    Pyaderkin, M. M.
    [J]. DOKLADY MATHEMATICS, 2015, 91 (03) : 290 - 293
  • [8] Extending the Erdos-Ko-Rado theorem
    Tokushige, N
    [J]. JOURNAL OF COMBINATORIAL DESIGNS, 2006, 14 (01) : 52 - 55
  • [9] ON ''STABILITY" IN THE ERDOS-KO-RADO THEOREM
    Devlin, Pat
    Kahn, Jeff
    [J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2016, 30 (02) : 1283 - 1289
  • [10] A BIPARTITE ERDOS-KO-RADO THEOREM
    SIMPSON, JE
    [J]. DISCRETE MATHEMATICS, 1993, 113 (1-3) : 277 - 280
12345