Pick a vertex u which is not there in mstSet and has a minimum key value.While mstSet doesn’t include all vertices.Assign the key value as 0 for the first vertex so that it is picked first. Assign a key value to all vertices in the input graph.Create a set mstSet that keeps track of vertices already included in MST.Follow the given steps to find MST using Prim’s Algorithm: And they must be connected with the minimum weight edge to make it a Minimum Spanning Tree. So the two disjoint subsets (discussed above) of vertices must be connected to make a Spanning Tree. The idea behind Prim’s algorithm is simple, a spanning tree means all vertices must be connected. So, at every step of Prim’s algorithm, find a cut (of two sets, one contains the vertices already included in MST and the other contains the rest of the vertices), pick the minimum weight edge from the cut, and include this vertex to MST Set (the set that contains already included vertices). ISRO CS Syllabus for Scientist/Engineer ExamĪ group of edges that connects two sets of vertices in a graph is called cut in graph theory.ISRO CS Original Papers and Official Keys.GATE CS Original Papers and Official Keys.Full Stack Development with React & Node JS(Live).Java Programming - Beginner to Advanced.

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