In computer science, the clique problem is the computational problem of finding cliques (subsets of vertices, all adjacent to each other, also called complete...

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...

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;...

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...

complement of G. The clique cover problem in computational complexity theory is the algorithmic problem of finding a minimum clique cover, or (rephrased...

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...

edges. Variants include the rural postman problem.: ND25, ND27  Clique cover problem: GT17  Clique problem: GT19  Complete coloring, a.k.a. achromatic...

Subgraph isomorphism is a generalization of both the maximum clique problem and the problem of testing whether a graph contains a Hamiltonian cycle, and...

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...

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...

relating colorings and cliques in those families. For instance, in all perfect graphs, the graph coloring problem, maximum clique problem, and maximum independent...

isomorphism problem Subset sum problem Clique problem Vertex cover problem Independent set problem Dominating set problem Graph coloring problem Sudoku To...

\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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

A graph may have many maximal cliques, of varying sizes; finding the largest of these is the maximum clique problem. Some authors include maximality...

intersection number problem, the intersection graph basis problem, covering by cliques, the edge clique cover problem, and the keyword conflict problem. Every graph...

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...

induced tree The Hadwiger conjecture relating coloring to clique minors The Hadwiger–Nelson problem on the chromatic number of unit distance graphs Jaeger's...

NP-hard problems, including the travelling salesman problem, graph coloring, maximum clique problem, and minimal vertex cover. These problems are only...

restrictions must be satisfied, with no optimization) Clique (see also independent set problem) Set packing Vertex cover Set covering Feedback node set...

Qing dynasty, and, by dividing into warlord factions known as the Beiyang clique (Chinese: 北洋軍閥; pinyin: Běiyáng Jūnfá), ushered in a period of regional...

version (general maximum set packing problem) has been proven as difficult to approximate as the maximum clique problem; in particular, it cannot be approximated...