Question: 3. The decision problem HamPath is defined as follows: . Problem Instance: an undirected graph G-(V,E). .Question: Is there a simple path P in G

3. The decision problem HamPath is defined as follows: . Problem

3. The decision problem HamPath is defined as follows: . Problem Instance: an undirected graph G-(V,E). .Question: Is there a simple path P in G having exactly |[V-1 edges? The decision problem HamCycle is defined as follows: Problem Instance: an undirected graph G- (V,E). .Question: Is there a simple cycle P in G having exactly [V] edges? Give a complete proof that HamCycle SP HamPath. Assuming that HamCycle is NP-complete, prove that HamPath is NP-complete

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