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Number Of Cliques

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  • Intersection number (graph theory) — In the mathematical field of graph theory, the intersection number of a graph is the smallest number of elements in a representation of G as an intersection graph of finite sets. Equivalently, it is the smallest number of cliques needed to cover… …   Wikipedia

  • Domatic number — A domatic partition. In graph theory, a domatic partition of a graph G = (V,E) is a partition of V into disjoint sets V1, V2,...,VK such that each Vi is a dominati …   Wikipedia

  • Dunbar's number — See also: Dunbar (disambiguation) Dunbar s number is suggested to be a theoretical cognitive limit to the number of people with whom one can maintain stable social relationships. These are relationships in which an individual knows who each… …   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

  • 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

  • Rook's graph — infobox graph name = Rook s graph image caption = 8x8 Rook s graph vertices = nm edges = nm ( n + m )/2 nm diameter = 2 chromatic number = max( n , m ) chromatic index = girth = 3 (if max( n , m ) ≥ 3) properties = regular, vertex transitive,… …   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

  • Community structure — In the study of complex networks, a network is said to have community structure if the nodes of the network can be easily grouped into (potentially overlapping) sets of nodes such that each set of nodes is densely connected internally. In the… …   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

  • Line graph — This article is about the mathematical concept. For statistical presentation method, see line chart. In graph theory, the line graph L(G) of undirected graph G is another graph L(G) that represents the adjacencies between edges of G. The name… …   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

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