Random intersection graphs and classification

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Abstract

We study properties of random intersection graphs generated by a random bipartite graph. We focus on the connectedness of these random intersection graphs and give threshold functions for this property and results for the size of the largest components in such graphs. The application of intersection graphs to find clusters and to test their randomness in sets of non-metric data is shortly discussed.

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Godehardt, E., Jaworski, J., & Rybarczyk, K. (2007). Random intersection graphs and classification. In Studies in Classification, Data Analysis, and Knowledge Organization (pp. 67–74). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-540-70981-7_8

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