A1 Write a function Connected Component (G,v) which takes as in-put a dictionary representing a graph G, and one of its verticesv, and returns a set of nodes representing the connected com-ponent of v, implementing the method given in the notes.Hint: Create and update lists called visitednodes repres-enting previously visited nodes, latestnodes representing themost recently visited nodes, and newnodes representing nodesneighbouring those in latestnodes and not included in eitherof the previous categories.A2 Write a function NumberOfComponents (G) which takes as in-put a dictionary representing a graph G and returns a positiveinteger representing its number of connected components.A3 Recall that an ordinary (unweighted) graph can be considered aweighted graph by assigning every edge weight 1. The "shortestpath" from a to b in this interpretation is simply the path froma to b with the fewest edges. This makes Dijkstra's algorithmsimpler as the shortest path from a to b will simply be the firstone found.

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C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter18: Stacks And Queues

Section: Chapter Questions

Problem 16PE: The implementation of a queue in an array, as given in this chapter, uses the variable count to...

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