Explain does Minimum Spanning tree *Prim* ?

Explain does Minimum Spanning tree *Prim* ?



1) Create a set mstSet that keeps track of vertices already included in MST.
2) Assign a key value to all vertices in the input graph. Initialize all key values as INFINITE. Assign key value as 0 for the first vertex so that it is picked first.
3) While mstSet doesn't include all vertices
....a) Pick a vertex u which is not there in mstSet and has minimum key value.
....b) Include u to mstSet.
....c) Update key value of all adjacent vertices of u. To update the key values, iterate through all adjacent vertices. For every adjacent vertex v, if weight of edge u-v is less than the previous key value of v, update the key value as weight of u-v

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