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#1 2009-05-19 06:27:06

GemmaJ1988
Member
Registered: 2008-10-08
Posts: 39

combinatorics

Hey i've been doing some last minute revison and ive stumbled across this question on a past exam paper.  Does anyone know how i'd go about answering this my lecture notes dont seem to cover this type of question
Please help smile

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#2 2009-05-19 09:38:10

Avon
Member
Registered: 2007-06-28
Posts: 80

Re: combinatorics

I assume that by

you mean the chromatic number of
which I would normally denote
.

Suppose we have coloured H with d colours and we want to extend this to a colouring of G. Since G cannot be coloured with d colours we need to use a new colour for the vertex x. What does this tell you about the colours of the neighbours of x?

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