This document discusses various methods for identifying cohesive subgroups within networks. It defines key concepts like reciprocity, transitivity, and different types of triads. It then examines approaches to relax the strict definition of a clique, including n-cliques, n-clans, n-clubs, k-cores, and k-plexes. These methods aim to find meaningful groups that are more cohesive than loose connections but not as restrictive as strict cliques. The document provides examples to illustrate different methods for identifying cohesive subgroups within networks.