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How many unique colors will be required for proper vertex coloring of a line graph having n vertices?

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in Data Structures & Algorithms II by (89.2k points)
How many unique colors will be required for proper vertex coloring of a line graph having n vertices?

(a) 0

(b) 1

(c) 2

(d) n

The question was asked in an interview for internship.

My doubt stems from Graph Coloring topic in section Graph Coloring of Data Structures & Algorithms II

1 Answer

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Best answer
Right choice is (d) n

Easiest explanation - A line graph of a simple graph is obtained by connecting two vertices with an edge. So the number of unique colors required for proper coloring of the graph will be n.

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