Truss Decomposition on Large Probabilistic Networks using H-Index

Truss decomposition is a popular approach for discovering cohesive subgraphs. However, truss decomposition on probabilistic graphs is challenging. State-of-the-art either do not scale to large graphs or use approximation techniques to achieve scalability. We present an exact and scalable algorithm for truss decomposition of probabilistic graphs. The algorithm is based on progressive tightening of the estimate of the truss value of each edge based on h-index computation and novel use of dynamic programming. Our proposed algorithm (1) is significantly faster than state-of-the-art and scales to much larger graphs, (2) is progressive by allowing the user to see near-results along the way, (3) does not sacrifice the exactness of final result, and (4) achieves all these while processing only an edge and its immediate neighbors at a time, thus resulting in smaller memory footprint. Our extensive experimental results confirm the scalability and efficiency of our algorithm.