prove k bounded spanning tree is NP complete using the fact hamiltonian graphs is NP complete
prove k bounded spanning tree is NP complete using the fact hamiltonian graphs is NP complete
Homework Answers
The following are the points which in together prove the above proof.
- If we have an algorithm that can solve K-bounded spanning tree problem with any k, then we can use that algorithm with the special k = 2, which is essentially a hamilton path.
- As it is given to us that hamiltonian graphs are an NP-complete problem. Thus if our algorithm can achieve it in polynomial time for the hamiltonian path.
- So solving the above problem in polynomial time means solving the NP-complete problem in polynomial time.
- Thus we can solve other NP-complete problems in polynomial time as well.
- So we can say that for any general K, bounded spanning tree is NP-Complete.
Hence it is proved that K bounded spanning tree is NP-complete
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prove k bounded spanning tree is NP complete using the fact
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