A New Spectral Bound on the Clique Number of Graphs

被引：0
|
作者：
Bulo, Samuel Rota [1 ]
Pelillo, Marcello [1 ]
机构：
[1] Univ Venice, Dipartimento Informat, I-30123 Venice, Italy
来源：
STRUCTURAL, SYNTACTIC, AND STATISTICAL PATTERN RECOGNITION | 2010年 / 6218卷
关键词：
MAXIMAL CLIQUES; ISOMORPHISM; RECOGNITION; ORDER;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Many computer vision and patter recognition problems are intimately related to the maximum clique problem. Due to the intractability of this problem, besides the development of heuristics, a research direction consists in trying to find good bounds on the clique number of graphs. This paper introduces a new spectral upper bound on the clique number of graphs, which is obtained by exploiting an invariance of a continuous characterization of the clique number of graphs introduced by Motzkin and Straus. Experimental results on random graphs show the superiority of our bounds over the standard literature.
引用
收藏
页码：680 / 689
页数：10
相关论文
共 50 条
  • [21] On the clique number of integral circulant graphs
    Basic, Milan
    Ilic, Aleksandar
    APPLIED MATHEMATICS LETTERS, 2009, 22 (09) : 1406 - 1411
  • [22] Sweeping graphs with large clique number
    Yang, BT
    Dyer, D
    Alspach, B
    ALGORITHMS AND COMPUTATION, 2004, 3341 : 908 - 920
  • [23] Sweeping graphs with large clique number
    Yang, Boting
    Dyer, Danny
    Alspach, Brian
    DISCRETE MATHEMATICS, 2009, 309 (18) : 5770 - 5780
  • [24] Dense Graphs with Small Clique Number
    Goddard, Wayne
    Lyle, Jeremy
    JOURNAL OF GRAPH THEORY, 2011, 66 (04) : 319 - 331
  • [25] On connectivity in graphs with given clique number
    Hellwig, A
    Volkmann, L
    JOURNAL OF GRAPH THEORY, 2006, 52 (01) : 7 - 14
  • [26] On the structure of graphs with bounded clique number
    Brandt, S
    COMBINATORICA, 2003, 23 (04) : 693 - 696
  • [27] Spectral radius and clique partitions of graphs
    Zhou, Jiang
    van Dam, Edwin R.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 630 : 84 - 94
  • [28] The list chromatic number of graphs with small clique number
    Molloy, Michael
    JOURNAL OF COMBINATORIAL THEORY SERIES B, 2019, 134 : 264 - 284
  • [29] A new lower bound on the independence number of graphs
    Angel, Eric
    Campigotto, Romain
    Laforest, Christian
    DISCRETE APPLIED MATHEMATICS, 2013, 161 (06) : 847 - 852
  • [30] Clique-inserted-graphs and spectral dynamics of clique-inserting
    Zhang, Fuji
    Chen, Yi-Chiuan
    Chen, Zhibo
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 349 (01) : 211 - 225
12345