Dijkstra's Algorithm is used to find the shortest path from a single source. It stores the total minimum cost from source node to current node.

So,

a → III

Prim's Algorithm selects the minimum cost edge to construct a minimum spanning tree.

So,

b → II

Warshall's Algorithm calculates the path matrix or transitive closure.

So,

c → I

Kruskal's Algorithm is used to find Minimum Spanning Tree.

So,

d → IV

Correct matching:

a-III, b-II, c-I, d-IV