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What is the chromatic number of compliment of line graph of bipartite graph?

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What is the chromatic number of compliment of line graph of bipartite graph?

(a) 0

(b) 1

(c) 2

(d) 3

The question was asked during an interview.

This interesting question is from Bipartite Graphs in portion Bipartite Graphs of Data Structures & Algorithms II

1 Answer

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by (111k points)

Right answer: (c) 2

The perfect bipartite graph has chromatic number 2. So the Compliment of Line Graph of Bipartite Graph, Compliment of Bipartite Graph, Line Graph of Bipartite Graph and every Bipartite Graph has chromatic number 2.

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