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complete subgraph

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  • Complete bipartite graph — A complete bipartite graph with m = 5 and n = 3 Vertices n + m Edges mn …   Wikipedia

  • Subgraph isomorphism problem — In complexity theory, Subgraph Isomorphism is a decision problem that is known to be NP complete. The formal description of the decision problem is as follows.Subgraph Isomorphism(G1, G2) Input: Two graphs G1 and G2. Question: Is G1 isomorphic to …   Wikipedia

  • List of NP-complete problems — Here are some of the more commonly known problems that are NP complete when expressed as decision problems. This list is in no way comprehensive (there are more than 3000 known NP complete problems). Most of the problems in this list are taken… …   Wikipedia

  • NP-complete — Euler diagram for P, NP, NP complete, and NP hard set of problems In computational complexity theory, the complexity class NP complete (abbreviated NP C or NPC) is a class of decision problems. A decision problem L is NP complete if it is in the… …   Wikipedia

  • Permanent is sharp-P-complete — The correct title of this article is Permanent is #P complete. The substitution or omission of the # sign is because of technical restrictions. In a 1979 paper Leslie Valiant proved[1] that the problem of computing the permanent of a matrix is #P …   Wikipedia

  • Maximum common subgraph isomorphism problem — In complexity theory, maximum common subgraph isomorphism (MCS) is an optimization problem that is known to be NP hard. The formal description of the problem is as follows: Maximum common subgraph isomorphism(G1, G2) Input: Two graphs G1 and G2.… …   Wikipedia

  • Dense subgraph — An example of a graph G with density dG = 1.375 and it s densest subgraph induced by the vertices b,c,d and h in red with density 1.4 In computer science the notion of highly connect …   Wikipedia

  • Induced subgraph isomorphism problem — In complexity theory and graph theory, induced subgraph isomorphism is an NP complete decision problem that involves finding a given graph as an induced subgraph of a larger graph.Formally, the problem takes as input two graphs G 1=( V 1, E 1)… …   Wikipedia

  • Glossary of graph theory — Graph theory is a growing area in mathematical research, and has a large specialized vocabulary. Some authors use the same word with different meanings. Some authors use different words to mean the same thing. This page attempts to keep up with… …   Wikipedia

  • Ramsey's theorem — This article goes into technical details quite quickly. For a slightly gentler introduction see Ramsey theory. In combinatorics, Ramsey s theorem states that in any colouring of the edges of a sufficiently large complete graph (that is, a simple… …   Wikipedia

  • Clique problem — The brute force algorithm finds a 4 clique in this 7 vertex graph (the complement of the 7 vertex path graph) by systematically checking all C(7,4)=35 4 vertex subgraphs for completeness. In computer science, the clique problem refers to any of… …   Wikipedia

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