1. Using induction, prove that any planar graph can be colored in no more than 6 colors where no two vertices connected by an edge share the same color.
1. Using induction, prove that any planar graph can be colored in no more than 6 colors where no two vertices connected by an edge share the same color.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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(E.2) Answer the following question accordingly. Thanks in advance!

Transcribed Image Text:The following is a planar graph that can be drawn in the plane without any
edge crossings. We can evaluate not only the edges and vertices with the
given graph but also the faces (areas that are enclosed by edges)
3
Remember: If there are no areas enclosed by edges, as in a tree, we say
there is 1 face

Transcribed Image Text:1. Using induction, prove that any planar graph can be colored in no
more than 6 colors where no two vertices connected by an edge share the
same color.
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