(a) Let k Z+, k ¥ 3. If G = (V, E) is a connected planar graph...
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(b) What is the minimal cycle length in K3,3?
(c) Use parts (a) and (b) to conclude that K3, 3 is nonplanar.
(d) Use part (a) to prove that the Petersen graph is nonplanar.
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Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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