Single-source shortest paths in dense graphs.Develop a version of Dijkstra’s algorithm that can find the SPT from a given vertex in a dense edge-weighted digraph in time proportional to V2. Use an adjacency-matrix representation (see exercise 4.4.3 and exercise 4.3.29).
Exercise4.4.3 :
Develop an implementation of EdgeWeightedDigraph for dense graphs that uses an adjacency-matrix (two-dimensional array of weights) representation (see exercise 4.3.9). Ignore parallel edges.
Exercise4.3.9 :
Implement the constructor for EdgeWeightedGraph that reads an edge-weighted graph from the input stream, by suitably modifying the constructor from Graph (see page 526).
Exercise4.3.29 :
Dense graphs.Develop an implementation of Prim’s algorithm that uses an eager approach (but not a priority queue) and computes the MST using V2edge-weight comparisons.
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