Consider the following graph, with a proper colouring using Red, Blue, Green and Purple. Suppose we recolour using a blue-red Kempe chain starting at the vertex X. State which vertices will be recoloured by this Kempe chain, and with which colours. 2 (G) 3(B) 7 (R) 6(P) 4 (R) 8(G) (B) 5 X (R)

Consider the following graph, with a proper colouring using Red, Blue, Green and Purple. Suppose we recolour using a blue-red Kempe chain starting at the vertex X. State which vertices will be recoloured by this Kempe chain, and with which colours. 2 (G) 3(B) 7 (R) 6(P) 4 (R) 8(G) (B) 5 X (R)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Q6. (i) Consider the following graph, with a proper colouring using Red, Blue, Green and
Purple. Suppose we recolour using a blue-red Kempe chain starting at the vertex
X. State which vertices will be recoloured by this Kempe chain, and with which
colours.
2 (G)
3(8)
I(B)
7(R)
6(P)
4 (R)
8 (G)
(B) 5
X (R)

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