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...

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

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...

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...

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;...

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...

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...

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...

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

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

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...

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...

The MaxCliqueDyn algorithm is an algorithm for finding a maximum clique in an undirected graph. MaxCliqueDyn is based on the MaxClique algorithm, which...

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...

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

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...

Adolescent cliques are cliques that develop amongst adolescents. In the social sciences, the word "clique" is used to describe a group of 3 to 12 "who...

\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...

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...

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

The Fengtian clique (Chinese: 奉系军阀; pinyin: Fèngxì Jūnfá; Wade–Giles: Feng-hsi Chün-fa) was the faction that supported warlord Zhang Zuolin during China's...

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...

Cantor–Bernstein–Schroeder theorem Cayley's formula Cayley's theorem Clique problem (to do) Compactness theorem (very compact proof) Erdős–Ko–Rado theorem...

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...

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

traveller problem Cliques and independent sets Clique problem Connected component Cycle space de Bruijn sequences Degree diameter problem Entanglement...

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

hierarchy Clique problem Hamiltonian cycle problem Hamiltonian path problem Integer factorization Knapsack problem Satisfiability problem 2-satisfiability...