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
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...
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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;...
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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...
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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...
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Subgraph isomorphism is a generalization of both the maximum clique problem and the problem of testing whether a graph contains a Hamiltonian cycle, and...
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edges. Variants include the rural postman problem.: ND25, ND27 Clique cover problem: GT17 Clique problem: GT19 Complete coloring, a.k.a. achromatic...
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Independent set (graph theory) (redirect from Independent set 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...
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relating colorings and cliques in those families. For instance, in all perfect graphs, the graph coloring problem, maximum clique problem, and maximum independent...
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Time complexity (redirect from Polynomial-time problem)
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...
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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...
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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...
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NP-completeness (redirect from NP-complete problem)
isomorphism problem Subset sum problem Clique problem Vertex cover problem Independent set problem Dominating set problem Graph coloring problem Sudoku To...
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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...
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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...
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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...
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Graph coloring (redirect from Graph coloring problem)
\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...
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The MaxCliqueDyn algorithm is an algorithm for finding a maximum clique in an undirected graph. MaxCliqueDyn is based on the MaxClique algorithm, which...
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induced tree The Hadwiger conjecture relating coloring to clique minors The Hadwiger–Nelson problem on the chromatic number of unit distance graphs Jaeger's...
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Intersection number (graph theory) (redirect from Clique edge cover)
intersection number problem, the intersection graph basis problem, covering by cliques, the edge clique cover problem, and the keyword conflict problem. Every graph...
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Graph theory (redirect from List of problems in 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
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...
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Vertex cover (redirect from Vertex cover problem)
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...
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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...
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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...
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Combinatorial optimization (redirect from NP optimization problem)
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...
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NP-hard problems, including the travelling salesman problem, graph coloring, maximum clique problem, and minimal vertex cover. These problems are only...
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early days: compiler design problem, clique problem, very large scale integration (VLSI) design. Additionally, pricing problems appear to be an application...
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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...
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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