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Proper colourings of K15

Published online by Cambridge University Press:  09 April 2009

Katherine Heinrich
Katherine Heinrich
Affiliation:
University of Newcastle, Newcastle, N.S.W. 2308, Australia.
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Abstract

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We denote the complete graph on n vertices by Kn. A proper k–colouring of Kn is a way of assigning colours from a set of k colours to the edges of Kn in such a way that no monochromatic triangles are formed. It is known that there are precisely two proper 3-colourings of K16 each of which has exactly one proper 3-colouring of K15 embedded in it. We show that these two are the only proper 3-colourings of K15.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 4 , December 1977 , pp. 465 - 495
Copyright
Copyright © Australian Mathematical Society 1977

References

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