Open Journal of Discrete Mathematics
Volume 3, Issue 3 (July 2013)
ISSN Print: 2161-7635 ISSN Online: 2161-7643
Google-based Impact Factor: 0.64 Citations
Multiple Circular Colouring as a Model for Scheduling ()
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ABSTRACT
In this article we propose a new model for scheduling periodic tasks. The model is based on a variation of the circular chromatic number, called the multiple circular colouring of the conflict graph. We show that for a large class of graphs, this new model will provide better solutions than the original circular chromatic number. At the same time, it allows us to avoid the difficulty of implementation when the fractional chromatic number is used.
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