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A k-plex is a graph theoretic generalization of a clique, introduced in social network analysis (SNA) to model tightly knit social subgroups referred to as cohesive subgroups. Clique model was the earliest mathematical model for a cohesive subgroup, but its overly restrictive definition motivated several relaxations including the k-plex model. The models from SNA are suitable, and potentially more realistic cluster models for graph-based clustering and data mining. This article will discuss the applicability of the k-plex model and its advantages compared to the clique model. Some recent developments in integer programming based approaches to identify large k-plexes would be described and the approaches demonstrated on a text mining network.