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Journal ArticleDOI

On cliques in graphs

J. W. Moon, +1 more
- 01 Mar 1965 - 
- Vol. 3, Iss: 1, pp 23-28
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TLDR
In this article, the maximum number of cliques possible in a graph with n nodes is determined and bounds are obtained for the number of different sizes of clique possible in such a graph.
Abstract
A clique is a maximal complete subgraph of a graph. The maximum number of cliques possible in a graph withn nodes is determined. Also, bounds are obtained for the number of different sizes of cliques possible in such a graph.

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Citations
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Book ChapterDOI

Clique, Independent Set, and Vertex Cover

TL;DR: In this paper, the problem of finding maximal and maximum common subgraph isomorphisms between two graphs is studied and a number of interesting applications in diverse scientific and engineering disciplines are discussed.
Book ChapterDOI

Independence and Cliques

Gregory Gutin

The first international conference on knowledge engineering principles and techniques (kept 2007)

TL;DR: This article describes several methods for computing the similarity of two words, following two directions: dictionary-based methods that use WordNet, Roget’s thesaurus, or other resources; and corpus-based method that use frequencies of co-occurrence in corpora (cosine method, latent semantic indexing, mutual information, etc).
Proceedings ArticleDOI

Querying for different similar images using maximum independent sets of a graph

TL;DR: A new method based on graph theory techniques is presented in order to select a set of images among those that might be offered in a tool dedicated to image retrieval.
Journal ArticleDOI

The student scheduling problem at Université de Technologie de Compiègne

TL;DR: A MIP model is proposed to maximize the number of assigned students while managing limited resources and the impact of clique inequalities on computing times is investigated.
References
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Journal ArticleDOI

On the theory of graphs

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