The famous four-color theorem states that one can color the vertices of any planar graph (so that adjacent vertices get different colors) with at most four colors. It had been conjectured for a long time and was eventually proved in 1976 by Appel and Haken. Can you color the complete graph K 5 with four colors? Does the result contradict

Chapter 23, PROBLEM SET 23.8 #24

The famous four-color theorem states that one can color the vertices of any planar graph (so that adjacent vertices get different colors) with at most four colors. It had been conjectured for a long time and was eventually proved in 1976 by Appel and Haken. Can you color the complete graph K5 with four colors? Does the result contradict the four-color theorem?

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Related Book For answer-question

Advanced Engineering Mathematics

10th edition

Authors: Erwin Kreyszig

ISBN: 978-0470458365