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maximal clique problem

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  • 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

  • Maximal independent set — This article is about the combinatorial aspects of maximal independent sets of vertices in a graph. For other aspects of independent vertex sets in graph theory, see Independent set (graph theory). For other kinds of independent sets, see… …   Wikipedia

  • Clique (graph theory) — A graph with 23 1 vertex cliques (its vertices), 42 2 vertex cliques (its edges), 19 3 vertex cliques (the light blue triangles), and 2 4 vertex cliques (dark blue). Six of the edges and 11 of the triangles form maximal cliques. The two dark blue …   Wikipedia

  • Clique percolation method — The clique percolation method[1] is a popular approach for analyzing the overlapping community structure of networks. The term network community (also called a module, cluster or cohesive group) has no widely accepted unique definition and it is… …   Wikipedia

  • Clique (Graphentheorie) — Knotenüberdeckungen, Cliquen und stabile Mengen sind Begriffe der Graphentheorie und bezeichnen spezielle Teilmengen von Knoten in Graphen. Das Finden von minimalen Knotenüberdeckungen und größten Cliquen bzw. stabilen Mengen gilt als… …   Deutsch Wikipedia

  • Independent set problem — In mathematics, the independent set problem (IS) is a well known problem in graph theory and combinatorics. The independent set problem is known to be NP complete. It is almost identical to the clique problem. Description Given a graph G , an… …   Wikipedia

  • Constraint satisfaction dual problem — The dual problem is a reformulation of a constraint satisfaction problem expressing each constraint of the original problem as a variable. Dual problems only contain binary constraints, and are therefore solvable by algorithms tailored for such… …   Wikipedia

  • Größte Clique — Knotenüberdeckungen, Cliquen und stabile Mengen sind Begriffe der Graphentheorie und bezeichnen spezielle Teilmengen von Knoten in Graphen. Das Finden von minimalen Knotenüberdeckungen und größten Cliquen bzw. stabilen Mengen gilt als… …   Deutsch Wikipedia

  • Maximale Clique — Knotenüberdeckungen, Cliquen und stabile Mengen sind Begriffe der Graphentheorie und bezeichnen spezielle Teilmengen von Knoten in Graphen. Das Finden von minimalen Knotenüberdeckungen und größten Cliquen bzw. stabilen Mengen gilt als… …   Deutsch Wikipedia

  • Decomposition method (constraint satisfaction) — In constraint satisfaction, a decomposition method translates a constraint satisfaction problem into another constraint satisfaction problem that is binary and acyclic. Decomposition methods work by grouping variables into sets, and solving a… …   Wikipedia

  • Independent set (graph theory) — The nine blue vertices form a maximum independent set for the Generalized Petersen graph GP(12,4). In graph theory, an independent set or stable set is a set of vertices in a graph, no two of which are adjacent. That is, it is a set I of vertices …   Wikipedia

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