Article citationsMore>>

E. R. Scheinerman and D. H. Ullman, “Frational Graph Theory,” John Wiley and Sons, New York, 1997.

has been cited by the following article:

• TITLE: Multiple Circular Colouring as a Model for Scheduling

  AUTHORS: Bing Zhou

  KEYWORDS: Graph Coloring; Circular Chromatic Number; Fractional Chromatic Number; Multi-Circular Coloring; Scheduling Problem

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.3 No.3, July 12, 2013

  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.