Combinatorial Construction of Time - StampSystems and Interpolation Systems

نویسنده

  • Eric Sopena
چکیده

A time-stamp system allows to maintain in a distributed way a total order among a set of objects by assigning them some labels or time-stamps. An elementary operation consists in moving one of these objects from the ith position to the rst one by only modifying its time-stamp. We introduce the notion of interpolation system, which generalizes the previous notion by allowing the objects to move from any position to any other position. Time-stamp systems and interpolation systems can be described as directed graphs (whose vertices stand for time-stamps) satisfying some special properties. We study in this paper diierent construction mechanisms leading to such systems. R esum e. Un syst eme d'estampillage permet de g erer de faa con distribu ee un ordre total sur des objets en leur attribuant des etiquettes ou estampilles. Une action el ementaire consiste a faire passer un objet d'une position i quelconque en position 1 en modiiant uniquement l'estampille de cet objet. Nous introduisons ici la notion de syst eme d'interpolation qui g en eralise la notion pr ec edente en permettant de faire passer un objet d'une position i quelconque en une position j quelconque. Les syst emes d'estampillage et d'interpolation peuvent ^ etre repr esent es sous forme de graphes orient es (dont les sommets constituent les estampilles) satisfaisant certaines propri et es. Nous etudions ici dii erents m ecanismes de construction permettant d'obtenir de tels syst emes.

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تاریخ انتشار 1995