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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 more neutral and scientific definition of clique is "a grouping of persons who interact with each other more regularly and intensely than others in the same setting". [ 1 ] Although cliques can range from two to twelve people, cliques typically consist of five or six people who are homogeneous in age, gender, race, social status, and ...
A maximal clique is a clique that cannot be extended by including one more adjacent vertex, that is, a clique which does not exist exclusively within the vertex set of a larger clique. Some authors define cliques in a way that requires them to be maximal, and use other terminology for complete subgraphs that are not maximal.
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]
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
A graph may have many maximal cliques, of varying sizes; finding the largest of these is the maximum clique problem. Some authors include maximality as part of the definition of a clique, and refer to maximal cliques simply as cliques. Left is a maximal independent set. Middle is a clique, , on the graph complement. Right is a vertex cover on ...
The overlap of these can be used to define a type of -regular hypergraph or a structure which is a generalisation of the line graph (the case when =) known as a "Clique graph". [36] The clique graphs have vertices which represent the cliques in the original graph while the edges of the clique graph record the overlap of the clique in the ...
However, interests can be shared across crowd divisions. Accordingly, while an adolescent's closest friends are almost always part of the same clique (i.e., they interact frequently within the same small friend group), they are not always part of the same crowd, especially if multiple crowds have similar lifestyles. [9] [17]