What does clique number mean?

Definitions for clique number
clique num·ber

This dictionary definitions page includes all the possible meanings, example usage and translations of the word clique number.

Wiktionary

  1. clique numbernoun

    The number of vertices in a maximum clique of a given graph.

Wikipedia

  1. clique number

    In the mathematical area of graph theory, a clique ( or ) is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are adjacent. That is, a clique of a graph G {\displaystyle G} is an induced subgraph of G {\displaystyle G} that is complete. Cliques are one of the basic concepts of graph theory and are used in many other mathematical problems and constructions on graphs. Cliques have also been studied in computer science: the task of finding whether there is a clique of a given size in a graph (the clique problem) is NP-complete, but despite this hardness result, many algorithms for finding cliques have been studied. Although the study of complete subgraphs goes back at least to the graph-theoretic reformulation of Ramsey theory by Erdős & Szekeres (1935), the term clique comes from Luce & Perry (1949), who used complete subgraphs in social networks to model cliques of people; that is, groups of people all of whom know each other. Cliques have many other applications in the sciences and particularly in bioinformatics.

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Numerology

  1. Chaldean Numerology

    The numerical value of clique number in Chaldean Numerology is: 7

  2. Pythagorean Numerology

    The numerical value of clique number in Pythagorean Numerology is: 5

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"clique number." Definitions.net. STANDS4 LLC, 2024. Web. 24 Apr. 2024. <https://www.definitions.net/definition/clique+number>.

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