CLAW-DECOMPOSITION OF KNESER GRAPHS

被引:3
作者
Sankari, C. [1 ]
Sangeetha, R. [1 ]
Arthi, K. [1 ]
机构
[1] Bharathidasan Univ, AVVM Sri Pushpam Coll, Dept Math, Thanjavur, Tamil Nadu, India
关键词
Decomposition; Tensor Product; Kneser Graph; Crown Graph; Star;
D O I
10.22108/TOC.2021.126283.1792
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A claw is a star with three edges. The Kneser graph KG(n,2 )is the graph whose vertices are the 2-subsets of an n-set, in which two vertices are adjacent if and only if their intersection is empty. In this paper, we prove that KG(n,2) is claw-decomposable, for all n >= 6.
引用
收藏
页码:53 / 61
页数:9
相关论文
共 50 条
[21]   A NOTE ON FALL COLORINGS OF KNESER GRAPHS [J].
Shaebani, Saeed .
TRANSACTIONS ON COMBINATORICS, 2019, 8 (03) :13-+
[22]   On finite simple groups and Kneser graphs [J].
Lucchini, Andrea ;
Maroti, Attila .
JOURNAL OF ALGEBRAIC COMBINATORICS, 2009, 30 (04) :549-566
[23]   The metric dimension of some kneser graphs [J].
Hui P. ;
Xunting W. ;
Jing W. ;
Siyuan C. .
Journal of Computational and Theoretical Nanoscience, 2016, 13 (05) :3013-3018
[24]   Solving the Weighted Stable Set Problem in Claw-Free Graphs via Decomposition [J].
Faenza, Yuri ;
Oriolo, Gianpaolo ;
Stauffer, Gautier .
JOURNAL OF THE ACM, 2014, 61 (04)
[25]   Total dominator chromatic number of Kneser graphs [J].
Jalilolghadr, Parvin ;
Behtoei, Ali .
AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2023, 20 (01) :52-56
[26]   Neighbour-transitive codes in Kneser graphs [J].
Crnkovic, Dean ;
Hawtin, Daniel R. ;
Mostarac, Nina ;
Svob, Andrea .
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2024, 204
[27]   Cutoff phenomenon for random walks on Kneser graphs [J].
Pourmiri, Ali ;
Sauerwald, Thomas .
DISCRETE APPLIED MATHEMATICS, 2014, 176 :100-106
[28]   A note on b-coloring of Kneser graphs [J].
Shaebani, Saeed .
DISCRETE APPLIED MATHEMATICS, 2019, 257 :368-369
[29]   Hadwiger's Conjecture for the Complements of Kneser Graphs [J].
Xu, Guangjun ;
Zhou, Sanming .
JOURNAL OF GRAPH THEORY, 2017, 84 (01) :5-16
[30]   Grundy domination and zero forcing in Kneser graphs [J].
Bresar, Bostjan ;
Kos, Tim ;
Daniel Tones, Pablo .
ARS MATHEMATICA CONTEMPORANEA, 2019, 17 (02) :419-430