{"id":925083,"date":"2023-03-06T15:22:26","date_gmt":"2023-03-06T23:22:26","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/"},"modified":"2023-03-06T15:28:07","modified_gmt":"2023-03-06T23:28:07","slug":"enumeration-of-maximal-cliques-from-an-uncertain-graph","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/enumeration-of-maximal-cliques-from-an-uncertain-graph\/","title":{"rendered":"Enumeration of Maximal Cliques from an Uncertain Graph"},"content":{"rendered":"

We consider the enumeration of dense substructures (maximal cliques) from an uncertain graph. For parameter 0 <; \u03b1 <; 1, we define the notion of an a-maximal clique in an uncertain graph. We present matching upper and lower bounds on the number of a-maximal cliques possible within a (uncertain) graph. We present an algorithm to enumerate a-maximal cliques whose worst-case runtime is near-optimal, and an experimental evaluation showing the practical utility of the algorithm.<\/p>\n","protected":false},"excerpt":{"rendered":"

We consider the enumeration of dense substructures (maximal cliques) from an uncertain graph. 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