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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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Competitive Skyline Cliques

TL;DR: In this paper , the authors introduce maximal competitive skyline cliques (MCSCs) which are maximal sets of mutually competitive skyline points and provide algorithms that enumerate all MCSCs.
Journal ArticleDOI

On the number of maximal independent sets: From Moon–Moser to Hujter–Tuza

TL;DR: In this article , the maximum number mis(n) of maximal independent sets in a triangle-free graph with no induced triangle matching of size t + 1 was shown to be a constant.

Application-Specific Processors.

Tulika Mitra
TL;DR: In this chapter, the benefits of application-specific processors, their architecture, automated design flow, and the renewed interests in this class of architectures from energy-efficiency perspective are presented.
Journal ArticleDOI

Computing Significant Cliques in Large Labeled Networks

TL;DR: In this article , the authors proposed a new model, called statistically significant clique, to mine significant cohesive subgraphs in large vertex-labeled graphs, where the subgraph significance is evaluated by a widely used metric called chi-square statistic.
Journal ArticleDOI

Algorithms for generating all the maximal independent sets of some graphs

TL;DR: In this article, the maximal independent sets of the path Pn and the cycle Cn were characterized in a linear time algorithm, and two linear-time algorithms were given to characterize all maximal independent subsets of Pn.
References
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Journal ArticleDOI

On the theory of graphs

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