Maximal Clique

Finding maximal cliques—the largest complete subgraphs within a larger graph—is a computationally challenging problem with significant applications across diverse fields. Current research focuses on developing efficient approximation algorithms, such as those employing graph pruning techniques or leveraging heuristics like greedy strategies and simulated annealing, to find maximal or near-maximal cliques in large graphs. These advancements are crucial for improving the performance of applications ranging from robust 3D point cloud registration and unsupervised video object segmentation to Bayesian network modeling. The development of faster and more accurate algorithms directly impacts the scalability and reliability of these applications.