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GATE | GATE-CS-2005 | Question 58

Consider the following two problems on undirected graphs
α : Given G(V, E), does G have an independent set of size | V | - 4?
β : Given G(V, E), does G have an independent set of size 5? 
Which one of the following is TRUE?

(A)

α is in P and β is NP-complete

(B)

α is NP-complete and β is in P

(C)

Both α and β are NP-complete

(D)

Both α and β are in P

Answer

Please comment below if you find anything wrong in the above post
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