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arXiv · 1310.6780

Mining Maximal Cliques from an Uncertain Graph

Arko Provo Mukherjee·Pan Xu·Srikanta Tirthapura
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Abstract

We consider mining dense substructures (maximal cliques) from an uncertain graph, which is a probability distribution on a set of deterministic graphs. For parameter 0 < α < 1, we present a precise definition of an α-maximal clique in an uncertain graph. We present matching upper and lower bounds on the number of α-maximal cliques possible within an uncertain graph. We present an algorithm to enumerate α-maximal cliques in an uncertain graph whose worst-case runtime is near-optimal, and an experimental evaluation showing the practical utility of the algorithm.

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Arko Provo Mukherjee, Pan Xu, Srikanta Tirthapura. 2014-10-22. Mining Maximal Cliques from an Uncertain Graph. https://arxiv.org/abs/1310.6780

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