Preference-based systems (p.b.s.) describe interactions between nodes of a system that can rank their neighbors. Previous work has shown that p.b.s. converge to a unique locally stable matching if an acyclicity property is verified. In the following we analyze acyclic p.b.s. with respect to the self-stabilization theory. We prove that the round complexity is bounded by n/2 for the adversarial daemon. The step complexity is equivalent to n2/4 for the round robin daemon, and exponential for the general adversarial daemon. © Springer-Verlag Berlin Heidelberg 2007.
CITATION STYLE
Mathieu, F. (2007). Upper bounds for stabilization in acyclic preference-based systems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4838 LNCS, pp. 372–382). Springer Verlag. https://doi.org/10.1007/978-3-540-76627-8_28
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