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Calculating the chromatic index of a graph is a ______________

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Calculating the chromatic index of a graph is a ______________

(a) P problem

(b) NP hard problem

(c) NP complete problem

(d) Cannot be identified as any of the given problem types

I had been asked this question during an internship interview.

The query is from Graph Coloring in portion Graph Coloring of Data Structures & Algorithms II

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Right answer is (c) NP complete problem

The explanation is: Chromatic index of an arbitrary graph cannot be determined by using any convenient method. So calculating the chromatic index of a graph is an NP complete problem.

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