A Nice Labelling for Tree-Like Event Structures of Degree 3

Details A Nice Labelling for Tree-Like Event Structures of Degree 3 A Nice Labelling for Tree-Like Event Structures of Degree 3

2007-04-18

arxiv.org/abs/0704.2355v1

Computer Science

Distributed, Parallel, and Cluster Computing

Scientific paper

We address the problem of finding nice labellings for event structures of degree 3. We develop a minimum theory by which we prove that the labelling number of an event structure of degree 3 is bounded by a linear function of the height. The main theorem we present in this paper states that event structures of degree 3 whose causality order is a tree have a nice labelling with 3 colors. Finally, we exemplify how to use this theorem to construct upper bounds for the labelling number of other event structures of degree 3.

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