GATE | GATE CS 2011 | Question 17

(A) K4 is planar while Q3 is not
(B) Both K4 and Q3 are planar
(C) Q3 is planar while K4 is not
(D) Neither K4 nor Q3 are planar


Answer: (B)

Explanation: A Graph is said to be planar if it can be drawn in a plane without any edges crossing each other.

Following are planar embedding of the given two graphs :

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