Reference for Proof of the statement: "A graph G is planar if and only if every subdivision of G is planar."

Question

I have seen the theorem

A graph G is planar if and only if every subdivision of G is planar.

stated in many places. Often it is posed as an assignment or as part of a lecture.

I would like to reference the theorem and its proof in a paper. What should I use as my reference? Is there a textbook or article that comes to mind?

Answer 1

Yes, what comes to mind as a citable reference is Proposition 10.3 in

J.A. Bondy, U.S.R. Murty, Graph Theory, Graduate Texts in Mathematics 244, Springer 2008, ISBN: 978-1-84628-969-9