Mathématiques et sciences humaines. Mathematics and social sciences | |
A propos du choix du partenaire en aïkido : éléments d'algèbre et de combinatoire des appariements d'un ensemble fini | |
Barbut, Marc1  Duprez, Jean-Marie1  | |
关键词: aïkido; configuration; homogeneity; pairing; probabilities; lattice; | |
DOI : 10.4000/msh.4083 | |
学科分类:数学(综合) | |
来源: College de France * Ecole des Hautes Etudes en Sciences Sociales (E H E S S) | |
【 摘 要 】
The rules of the game named aïkido provide a particular occurrence of the following general problem: a finite set E(|E|= 2n) of persons is divided into k given classes (partition ∏); each person is allowed to choose freely a partner among the others; the result is a second partition of E, into n 2-subsets; we name it pairing. The sequence of the sizes of the classes of the cut (infimum) of ∏ and a pairing (in the partitions lattice of E) is called here a configuration. This paper studies the set of all possible configurations in the two elementary cases k = 2 and k = 3. For (k ≥ 4), some general properties are showed.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912020428743ZK.pdf | 2538KB | download |