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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.
In the social sciences, the word "clique" is used to describe a large group of 6 to 12 "who interact with each other more regularly and intensely than others in the same setting". [1] Cliques are distinguished from " crowds " in that their members socially interact with one another more than the typical crowd (e.g. hang out together, go ...
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 k-clique is a clique of order k. The clique number ω(G) of a graph G is the order of its largest clique. The clique graph of a graph G is the intersection graph of the maximal cliques in G. See also biclique, a complete bipartite subgraph. clique tree A synonym for a block graph. clique-width
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 post 26 Palindrome Examples: Words and Phrases That Are the Same Backwards and Forwards appeared first on Reader's Digest. Palindrome words are spelled the same backward and forward.
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 ...
Sociograms are the charts or tools used to find the sociometry of a social space. Under the social discipline model, sociograms are sometimes used to reduce misbehavior in a classroom environment. [4] A sociogram is constructed after students answer a series of questions probing for affiliations with other classmates.