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A clique (AusE, CanE, UK: / ˈ k l iː k / or US: / ˈ k l ɪ k /; French:), in the social sciences, is a small group of individuals who interact with one another and share similar interests rather than include others. [1]
A maximum clique transversal of a graph is a subset of vertices with the property that each maximum clique of the graph contains at least one vertex in the subset. [ 2 ] The opposite of a clique is an independent set , in the sense that every clique corresponds to an independent set in the complement graph .
However, satisfiability of MSO 2 sentences is decidable for the graphs of bounded treewidth, and satisfiability of MSO 1 sentences is decidable for graphs of bounded clique-width. The proof involves using Courcelle's theorem to build an automaton that can test the property, and then examining the automaton to determine whether there is any ...
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 interact with each other more regularly and intensely than others in the same setting". [1]
The clique number ω(G) is the number of vertices in a maximum clique of G. [1] Several closely related clique-finding problems have been studied. [14] In the maximum clique problem, the input is an undirected graph, and the output is a maximum clique in the graph. If there are multiple maximum cliques, one of them may be chosen arbitrarily. [14]
A clique of a graph G is a set X of vertices of G with the property that every pair of distinct vertices in X are adjacent in G. A maximal clique of a graph G is a clique X of vertices of G, such that there is no clique Y of vertices of G that contains all of X and at least one other vertex. Given a graph G, its clique graph K(G) is a graph ...
The Clique (series) by Lisi Harrison The Clique, a novel in the series; The Clique, based on the series; Music groups. The Clique (American band), a late 1960s U.S. sunshine pop band from Houston; The Clique (British band), a 1990s mod band; Skeleton Clique, or the Clique, the fan base of American musical duo Twenty One Pilots
The clique complex can also be viewed as a topological space in which each clique of k vertices is represented by a simplex of dimension k – 1. The 1-skeleton of X ( G ) (also known as the underlying graph of the complex) is an undirected graph with a vertex for every 1-element set in the family and an edge for every 2-element set in the ...