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 arrayI 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

Which of the following is an NP complete problem?(a) Hamiltonian cycle

1.	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 arrayI 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
Answer» 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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