Prove that L is in the class NP

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Question: A (non-directed) graph is called connected if there is a path in the graph between any two vertices. Let L be the language of binary encodings of connected graphs.

(a) Prove that L is in the class NP.

(The input to be verified is a set of potential paths, one connecting each pair of vertices. Each path is given by a list of consecutive vertices. You must verify the potential paths by checking that each step from one vertex to the next is actually an edge on the path.)

(b) Is L in the class P?

(d) What would it mean if we could prove that L was not in the class P?

Reference no: EM132500686

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len2500686

4/26/2020 11:15:59 PM

This is for an undergraduate course. It is a single question with multiple parts. It shouldn''t be so high brow that I couldn''t possibly have answered it myself but it should be very specific and comprehensive. Pls answer ALL parts of the question. Thank you.

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