Answer the given question with a proper explanation and step-by-step solution.  Answer yes or no and Prove or explain precisely why please 1. If you can solve TSP in linear time, you can solve the Hamiltonian path problem in linear time. 2. If Graph Isomorphism belongs to NPC then P = NP 3. The question if a program stops on an input x within n^3 steps or less belongs to NPC. 4. The question does a program stops on an input x (namely there is no infinite loop) belongs to NPC.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Answer the given question with a proper explanation and step-by-step solution.

 Answer yes or no and Prove or explain precisely why please
1. If you can solve TSP in linear time, you can solve the Hamiltonian path problem
in linear time.
2. If Graph Isomorphism belongs to NPC then P = NP
3. The question if a program stops on an input x within n^3 steps or less belongs to
NPC.
4. The question does a program stops on an input x (namely there is no infinite
loop) belongs to NPC. 

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