Which of the following is an example of an NP-Hard problem?

Options

  • A. Binary Search
  • B. Minimum Spanning Tree
  • C. Optimization version of Traveling Salesman Problem
  • D. More than one of the above
  • E. None of the above

Correct Answer (Detailed Explanation is Below)

C. Optimization version of Traveling Salesman Problem

Detailed Explanation

  • NP-Hard: Every problem in NP can be reduced to an NP-Hard problem in polynomial time.
  • Optimization TSP: Finding the minimum-cost tour is NP-Hard.
  • Decision TSP: Asking whether a tour exists within a specified cost is NP-Complete.
  • Important: An NP-Hard problem need not belong to NP.