Which of the following graphs is/are planner?

1989

Which of the following graphs is/are planner?

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  1. A.

    G1 only

  2. B.

    G1 and G2

  3. C.

    G2 only

  4. D.

    G2 and G3

Attempted by 63 students.

Show answer & explanation

Correct answer: C

Solution:

  • G1​ is non-planar because it is isomorphic to K3,3, which is a non-planar graph.

  • G2​ is planar because it can be drawn without any edge crossings.

  • G3​ is non-planar due to edge intersections and subdivision structure similar to non-planar graphs.

Therefore, only G2​ is planar.

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