Concepts3
βοΈAlgorithmIntermediate
MST Properties and Applications
An MST minimizes total edge weight over all spanning trees and has powerful properties such as the cut and cycle properties that guide correct, greedy construction.
#minimum spanning tree#kruskal#prim+12
βοΈAlgorithmIntermediate
Minimum Spanning Tree - Prim
Prim's algorithm builds a Minimum Spanning Tree (MST) by growing a tree from an arbitrary start vertex, always adding the lightest edge that connects the tree to a new vertex.
#prim#minimum spanning tree#mst+12
βοΈAlgorithmIntermediate
Minimum Spanning Tree - Kruskal
Kruskalβs algorithm builds a minimum spanning tree (MST) by sorting all edges by weight and greedily picking the next lightest edge that does not form a cycle.
#kruskal#minimum spanning tree#mst+11