Our goal is to colour each of the 11 vertices with one of three colours (Apricot, Brown, Cyan) so that no edge joins two vertices of the same colour. For example, if the vertex 6 is coloured Brown, then the four vertices adjacent to this vertex (10, 5, 2, 7) cannot be coloured Brown, since that would create a Brown-Brown edge. If we can assign a colour to each vertex so that no edge joins two vertices of the same colour, then we say that this graph is 3-Colourable. If this task is impossible (i.e., no matter what, we must create at least one edge joining two vertices of the same colour), then we say that this graph is not 3-Colourable.

Our goal is to colour each of the 11 vertices with one of three colours (Apricot, Brown, Cyan) so that no edge joins two vertices of the same colour. For example, if the vertex 6 is coloured Brown, then the four vertices adjacent to this vertex (10, 5, 2, 7) cannot be coloured Brown, since that would create a Brown-Brown edge. If we can assign a colour to each vertex so that no edge joins two vertices of the same colour, then we say that this graph is 3-Colourable. If this task is impossible (i.e., no matter what, we must create at least one edge joining two vertices of the same colour), then we say that this graph is not 3-Colourable.

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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