Q1. a)You must implement an adjacency matrix class. The basic operations provided by this adjacency matrix G includes: isAdjacent(G, x, y): tests whether there is an edge from the vertices x to y; neighbors(G, x): lists all vertices y such that there is an edge from the vertices x to y; add_edge(G, x, y): adds the edge from the vertices x to y, if it is not there; remove_edge(G, x, y): removes the edge from the vertices x to y, if it is there; b) Implement the bucket algorithm using your implementation of the adjacency matrix. You will read off the Graph from a text file holding vertex associations in every line of the graph and populate or fill up your adjacency matrix before running the bucket algorithm on the garph. File contents can be like: (every line shows the the vertices with which edges are shared) a has-edge g h d c e b has-edge c f g e c has-edge e f d has-edge g c e e has-edge a b c f has-edge d e g has-edge b c a h has-edge d f e First you will read this file and populate your adjacency matrix then run bucket algorithm over it.
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