The Bron-Kerbosch algorithm is a classic method used in graph theory to find all maximal cliques in an undirected graph. A maximal clique is a subset of vertices that forms a complete subgraph, meaning every pair of vertices in the subset is connected by an edge. The algorithm operates recursively and efficiently explores potential cliques, ensuring that all maximal cliques are identified without duplicates. Developed by C. A. Bron and J. Kerbosch in 1973, the algorithm is particularly useful in various applications, including social network analysis, bioinformatics, and computational biology. Its efficiency makes it a popular choice for researchers dealing with large graphs, as it can significantly reduce the computational complexity of clique detection.