State whether the sentence is true (t), false (f), or whether its truth value is

Question

State whether the sentence is true (t), false (f), or whether its truth value is still unknown (u). Beware of guessing: incorrect answer. a. [t f u] The language HAMILTONIAN-CYCLE is in P. b. [t f u] If L lessthanorequalto L" and L elementof NPC, then L' elementof NPC. c. [t f u] If L elementof NPC, then L' lessthanorequalto P L for all L' elementof NPC. d. [t f u] The problem of deciding if an undirected graph is not connected is in NP. e. [t f u] If a language is not in NP, it cannot be in NPC. f. [t f u] If L elementof NPC, then L lessthanorequalto P L' for all L' element of P.

Explanation / Answer

a) False

Hamiltonian Cycle is not in P

b) True

IT is clearly true

c) Unknown

Its truth value is still unknown

d) False

No it is not a NP problem

e) True

If a language is not in NP , it can be in NPC

f) Unknown

Its truth value is unknown

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