Abstract
Let N be a network (or linear graph) such that at each node not more than n lines meet (where n > 2), and no line has both ends at the same node. Suppose also that no connected component of N is an n-simplex. Then it is possible to colour the nodes of N with n colours so that no two nodes of the same colour are joined.
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© 2009 Birkhäuser Boston, a part of Springer Science+Business Media, LLC
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Brooks, R.L. (2009). On Colouring the Nodes of a Network. In: Gessel, I., Rota, GC. (eds) Classic Papers in Combinatorics. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4842-8_7
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DOI: https://doi.org/10.1007/978-0-8176-4842-8_7
Publisher Name: Birkhäuser Boston
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Online ISBN: 978-0-8176-4842-8
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