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GATE | GATE-CS-2006 | Question 31

Let SHAM3 be the problem of finding a Hamiltonian cycle in a graph G = (V,E) with V divisible by 3 and DHAM3 be the problem of determining if a Hamiltonian cycle exists in such graphs. Which one of the following is true?

(A)

Both DHAM3 and SHAM3 are NP-hard

(B)

SHAM3 is NP-hard, but DHAM3 is not

(C)

DHAM3 is NP-hard, but SHAM3 is not

(D)

Neither DHAM3 nor SHAM3 is NP-hard

Answer

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