The breadth-first search (BFS) starts with a root node. In the first stage, all neighbors of the root node are discovered and added to the nodes frontier. In the following stages, unvisited nodes from the neighbors of the frontier nodes are discovered and added to the frontier. To improve the parallelization of the BFS, the bottom-up search iterates over all unvisited nodes, where each unvisited node searches for its visited neighbors. Communication between nodes and clusters is pipelined with the execution of the BFS.