Question: Assume you have been given an encoding of an instance of VERTEX - COVER problem as an instance of INDEPENDENT - SET problem. What is
Assume you have been given an encoding of an instance of VERTEXCOVER problem as an instance of INDEPENDENTSET problem. What is the planned direction of the polynomial time reduction?
VERTEXCOVER p INDEPENDENTSET or
INDEPENDENTSET p VERTEXCOVER
Seems like both the scenarios could be possible and could to reducible to polynomial time since vertex cover problem is encoded.
If VERTEXCOVER is intractable, can we conclude that INDEPENDENTSET is intractable?
YES or NO No is the answer
If INDEPENDENTSET is intractable, can we conclude that VERTEXCOVER is intractable?
YES or NO Yes is the answer
If VERTEXCOVER is efficiently solvable, can we conclude that INDEPENDENTSET is efficiently solvable?
YES or NO Yes is the answer
If INDEPENDENTSET is efficiently solvable, can we conclude that VERTEXCOVER is efficiently solvable?
YES or NO No is the answer
Note i need explanationation how it is yes or no
and also i need a unique answer like which is greater than OR less than polynomial time reduction
SAT,INDEPENDENT SET, VERTEX COVER, SET COVER
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