Community detection on small random networks
Abstract
A set of random graphs with 10, 20, and 30 nodes with 2 predefined communities were generated with varying probabilities of connection to determine the effect of network size on detection of communities using modularity. It was found that the highest modularity partitions found by the Girvan-Newman algorithm correspond to the most accurate partitions except when pin is less than 0.5 for 10 nodes and pin less than 0.3 for 20 and 30 nodes. The accuracy of the algorithm is also lower when the number of nodes is 10 as compared to when there are 20 and 30 nodes.