• Thumbnail for Clique problem
    In computer science, the clique problem is the computational problem of finding cliques (subsets of vertices, all adjacent to each other, also called complete...
    84 KB (9,905 words) - 20:49, 29 May 2025
  • Thumbnail for Clique (graph theory)
    given size in a graph (the clique problem) is NP-complete, but despite this hardness result, many algorithms for finding cliques have been studied. Although...
    20 KB (2,501 words) - 18:00, 21 February 2025
  • Thumbnail for Planted clique
    clique problem is the algorithmic problem of distinguishing random graphs from graphs that have a planted clique. This is a variation of the clique problem;...
    13 KB (1,688 words) - 15:08, 22 March 2025
  • theory, a clique cover or partition into cliques of a given undirected graph is a collection of cliques that cover the whole graph. A minimum clique cover...
    8 KB (939 words) - 11:39, 12 August 2024
  • reduction from 3-SAT to the other problem. An example of a problem where this method has been used is the clique problem: given a CNF formula consisting...
    50 KB (5,047 words) - 13:10, 29 May 2025
  • Subgraph isomorphism is a generalization of both the maximum clique problem and the problem of testing whether a graph contains a Hamiltonian cycle, and...
    15 KB (1,857 words) - 22:39, 6 February 2025
  • edges. Variants include the rural postman problem.: ND25, ND27  Clique cover problem: GT17  Clique problem: GT19  Complete coloring, a.k.a. achromatic...
    29 KB (2,746 words) - 00:31, 24 April 2025
  • Thumbnail for Independent set (graph theory)
    NP-completeness to problems related to independent sets. The independent set problem and the clique problem are complementary: a clique in G is an independent...
    30 KB (3,561 words) - 13:24, 14 May 2025
  • Thumbnail for Perfect graph
    relating colorings and cliques in those families. For instance, in all perfect graphs, the graph coloring problem, maximum clique problem, and maximum independent...
    59 KB (7,055 words) - 07:30, 25 February 2025
  • Thumbnail for Time complexity
    large clique in the union of a clique and a random graph. Although quasi-polynomially solvable, it has been conjectured that the planted clique problem has...
    41 KB (5,003 words) - 04:16, 18 April 2025
  • Thumbnail for New Guangxi clique
    The New Guangxi clique (Chinese: 新桂系; pinyin: Xīn Guìxì), led by Li Zongren, Huang Shaohong, and Bai Chongxi, was a warlord clique during the Republic...
    13 KB (1,764 words) - 23:45, 17 May 2025
  • up clique in Wiktionary, the free dictionary. A clique is a close social group. Clique or The Clique may also refer to: Clique (graph theory) Clique problem...
    2 KB (344 words) - 18:33, 12 March 2025
  • Thumbnail for NP-completeness
    isomorphism problem Subset sum problem Clique problem Vertex cover problem Independent set problem Dominating set problem Graph coloring problem Sudoku To...
    30 KB (3,618 words) - 08:25, 21 May 2025
  • its description in 1973. Although other algorithms for solving the clique problem have running times that are, in theory, better on inputs that have few...
    16 KB (2,134 words) - 08:21, 1 January 2025
  • The Anhui clique (Chinese: 皖系; pinyin: Wǎn Xì) was a military and political organization, one of several mutually hostile cliques or factions that split...
    18 KB (1,460 words) - 06:53, 2 May 2025
  • Thumbnail for Graph isomorphism problem
    A clique problem for a class of so-called M-graphs. It is shown that finding an isomorphism for n-vertex graphs is equivalent to finding an n-clique in...
    41 KB (4,222 words) - 10:06, 27 May 2025
  • Thumbnail for Graph coloring
    \omega (G).} For perfect graphs this bound is tight. Finding cliques is known as the clique problem. Hoffman's bound: Let W {\displaystyle W} be a real symmetric...
    70 KB (8,459 words) - 05:58, 16 May 2025
  • Thumbnail for MaxCliqueDyn algorithm
    The MaxCliqueDyn algorithm is an algorithm for finding a maximum clique in an undirected graph. MaxCliqueDyn is based on the MaxClique algorithm, which...
    10 KB (1,237 words) - 11:38, 23 December 2024
  • induced tree The Hadwiger conjecture relating coloring to clique minors The Hadwiger–Nelson problem on the chromatic number of unit distance graphs Jaeger's...
    195 KB (20,026 words) - 13:12, 7 May 2025
  • Thumbnail for Intersection number (graph theory)
    intersection number problem, the intersection graph basis problem, covering by cliques, the edge clique cover problem, and the keyword conflict problem. Every graph...
    35 KB (4,363 words) - 13:40, 25 February 2025
  • Thumbnail for Graph theory
    certain kind is often an NP-complete problem. For example: Finding the largest complete subgraph is called the clique problem (NP-complete). One special case...
    50 KB (6,237 words) - 21:13, 9 May 2025
  • Thumbnail for Maximal independent set
    Maximal independent set (category Computational problems in graph theory)
    A graph may have many maximal cliques, of varying sizes; finding the largest of these is the maximum clique problem. Some authors include maximality...
    40 KB (5,451 words) - 22:03, 17 March 2025
  • Thumbnail for Vertex cover
    reduction from 3-satisfiability or, as Karp did, by reduction from the clique problem. Vertex cover remains NP-complete even in cubic graphs and even in planar...
    22 KB (2,556 words) - 03:39, 11 May 2025
  • Adolescent cliques are cliques that develop amongst adolescents. In the social sciences, the word "clique" is used to describe a large group of 6 to 12...
    51 KB (6,112 words) - 20:12, 22 May 2025
  • be found as an induced subgraph of another. Because it includes the clique problem as a special case, it is NP-complete. Diestel, Reinhard (2006), Graph...
    4 KB (509 words) - 00:27, 21 October 2024
  • Thumbnail for Combinatorial optimization
    Hromkovic's book, all NPO(IV)-problems are excluded from this class unless P=NP. Contains the TSP and clique problem. An NPO problem is called polynomially bounded...
    18 KB (1,847 words) - 03:45, 24 March 2025
  • NP-hard problems, including the travelling salesman problem, graph coloring, maximum clique problem, and minimal vertex cover. These problems are only...
    3 KB (360 words) - 18:27, 28 May 2025
  • early days: compiler design problem, clique problem, very large scale integration (VLSI) design. Additionally, pricing problems appear to be an application...
    24 KB (3,911 words) - 00:19, 13 March 2025
  • Thumbnail for Circuit complexity
    bits modulo some odd prime p. The k-clique problem is to decide whether a given graph on n vertices has a clique of size k. For any particular choice...
    21 KB (2,571 words) - 00:57, 18 May 2025
  • NP? NC = P problem NP = co-NP problem P = BPP problem P = PSPACE problem L = NL problem PH = PSPACE problem L = P problem L = RL problem Unique games...
    10 KB (1,167 words) - 02:38, 17 May 2025