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+5 votes
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Choose the correct alternatives (more than one may be correct) and write the corresponding letters only:

Which of the following problems is not $NP$-hard?

  1. Hamiltonian circuit problem
  2. The $0/1$ Knapsack problem
  3. Finding bi-connected components of a graph
  4. The graph coloring problem
asked in Algorithms by Veteran (59.7k points)
edited by | 839 views

2 Answers

+11 votes
Best answer
  1. Is NPC and hence NP hard.
  2. Is again NP hard (optimization version is NP hard and decision version is NPC). Ref: http://stackoverflow.com/questions/3907545/how-to-understand-the-knapsack-problem-is-np-complete
  3. Is in P. See the algorithm here based on DFS: http://en.wikipedia.org/wiki/Biconnected_component
  4. NPC and hence NP hard. 
answered by Veteran (369k points)
edited by
+2 votes
Answer: C

It is in P.

A: NPC. Hence, NPH.

B: NPH.

D: NPC. Hence, NPH.
answered by Boss (34.1k points)

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