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Which of the following is not a property of perfect graph?

(a) Compliment of Line Graph of Bipartite Graph

(b) Compliment of Bipartite Graph

(c) Line Graph of Bipartite Graph

(d) Line Graph

I have been asked this question during an interview.

This intriguing question comes from Bipartite Graphs in chapter Bipartite Graphs of Data Structures & Algorithms II

1 Answer

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Correct choice is (d) Line Graph

To explain: TThe Compliment of Line Graph of Bipartite Graph, Compliment of Bipartite Graph, Line Graph of Bipartite Graph and every Bipartite Graph is known as a perfect graph in graph theory. Normal line graph is not a perfect graph whereas line perfect graph is a graph whose line graph is a perfect graph.

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