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Which of the following graphs don’t have chromatin number less than or equal to 2?

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in Data Structures & Algorithms II by (89.2k points)
Which of the following graphs don’t have chromatin number less than or equal to 2?

(a) Compliment of Line Graph of Bipartite Graph

(b) Compliment of Bipartite Graph

(c) Line Graph of Bipartite Graph

(d) Wheel graph

This question was posed to me by my school principal while I was bunking the class.

The query is from Bipartite Graphs topic in division Bipartite Graphs of Data Structures & Algorithms II

1 Answer

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Best answer
Right choice is (d) Wheel graph

The best I can explain: The perfect bipartite graph has chromatic number 2. Also, the Compliment of Line Graph of Bipartite Graph, Compliment of Bipartite Graph, Line Graph of Bipartite Graph and every Bipartite Graph is known as perfect graph in graph theory. Wheel graph Wn has chromatin number 3 if n is odd and 4 if n is even.

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