© 1981 by British Computer Society
A new graph colouring algorithm

1 Department of Computer Science, University of Central Florida, Orlando, USA, 2 Department of Mathematics and Statistics, University of Central Florida, Orlando, USA
Many heuristics polynomial time algorithms exist to colour the vertices of connected undirected graphs having no loops or multiple edges. Associated with each such algorithm are graphs for which the number of colours required in the colouring produced by the algorithm is significantly greater than the minimum that are necessary. Thus it is desirable to have available a range of such algorithms. One, based on a theorem of Zykov, is described here. It has performed well on most graphs to which it has been applied, including some on which other algorithms fail. However it has its own bad graphs, and one such family is listed.
Received June 1979.
* Department of Computer Science, University of Central Florida, Orlando, Florida 32816, USA.
Department of Mathematics and Statistics, University of Central Florida, Orlando.