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Which of the following is an NP complete problem?

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Which of the following is an NP complete problem?

(a) Hamiltonian cycle

(b) Travelling salesman problem

(c) Calculating chromatic number of graph

(d) Finding maximum element in an array

I have been asked this question in an international level competition.

My doubt is from Graph Coloring topic in portion Graph Coloring of Data Structures & Algorithms II

1 Answer

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Correct option is (c) Calculating chromatic number of graph

The explanation is: Calculating the chromatic number of a graph is an NP complete problem as a chromatic number of an arbitrary graph cannot be determined by using any convenient method.

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