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A graph is ______ if and only if it does not contain a subgraph homeomorphic to k5 or k3,3.

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A graph is ______ if and only if it does not contain a subgraph homeomorphic to k5 or k3,3.

(a) bipartite graph

(b) planar graph

(c) line graph

(d) euler subgraph

The question was asked in quiz.

My query is from Isomorphism in Graphs in division Graphs of Discrete Mathematics

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The correct option is (b) planar graph

To explain I would say: A graph is known as planar graph if and only if it does not contain a subgraph homeomorphic to k5 or k3,3.

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