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What is the number of edges of the greatest planar subgraph of K3,2 where m,n≤3?

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What is the number of edges of the greatest planar subgraph of K3,2 where m,n≤3?

(a) 18

(b) 6

(c) 128

(d) 702

I have been asked this question in an internship interview.

This interesting question is from Planarity, Degree and Coloring of Graph in division Graphs of Discrete Mathematics

1 Answer

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Best answer
The correct option is (b) 6

To explain: The plane graph with an edge at most 6+2(m−3) is the greatest planar graph. So, in this case the number of edges is 6.

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