On the study data structures: Binary tournaments with repeated keys
Identifieur interne : 002D68 ( Istex/Curation ); précédent : 002D67; suivant : 002D69On the study data structures: Binary tournaments with repeated keys
Auteurs : P. Lescanne [France] ; J. M. Steyaert [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: In this paper we develop a systematic way of analyzing tree like data structures and recursive algorithms on them; the method is shown on binary tournaments with repeated Keys extending previous applications to term trees. Tournaments are studied both as a combinatorial and as a computational object; the main line of our approach consists in showing strong correspondences between recursive definition of combinatorial parameters and of procedures on one hand and equations over generating power series on the other hand; we can then conclude by deriving closed formulae or asymtotic estimates for the average values of various quantities and running times of procedures.
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DOI: 10.1007/BFb0036930
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<front><div type="abstract" xml:lang="en">Abstract: In this paper we develop a systematic way of analyzing tree like data structures and recursive algorithms on them; the method is shown on binary tournaments with repeated Keys extending previous applications to term trees. Tournaments are studied both as a combinatorial and as a computational object; the main line of our approach consists in showing strong correspondences between recursive definition of combinatorial parameters and of procedures on one hand and equations over generating power series on the other hand; we can then conclude by deriving closed formulae or asymtotic estimates for the average values of various quantities and running times of procedures.</div>
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