Borůvka's Algorithm
Borůvka's algorithm is a greedy algorithm for finding a minimum spanning tree (MST) in a weighted, undirected graph. It works by repeatedly adding the cheapest edge from each connected component to the MST, merging components until only one remains. It is one of the oldest known algorithms for this problem, first published in 1926 by Otakar Borůvka.
Developers should learn Borůvka's algorithm when working on graph theory problems, especially in contexts like network design, clustering, or optimization where finding an MST is required. It is particularly useful for parallel or distributed computing due to its component-based approach, and it serves as a foundational concept for understanding more advanced MST algorithms like Kruskal's and Prim's.