Question

5.         HC: Graph G has circuit that begins and ends at v1, visiting each vertex once....

5.         HC: Graph G has circuit that begins and ends at v1, visiting each vertex once.

            HP: Graph G has a path that visits each vertex exactly once (begin anywhere, end anywhere)

   a.   Give yes and no instances of HC and HP

   b. Prove or disprove: the following is a polynomial reduction from HC to HP

Given an undirected graph   G=(V,E), create a new graph G’ by adding one new vertex s and |V| new edges, connecting s to every vertex in the original G.

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that Uapath Ham. Hon.anct4(uit Passes tough all the vertices f sa 3raph exactly once, 4 begins ends at the ame vertex a) A co

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