Some problems of the theory of enumerating the permutations with restricted positions
Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 30 (1992), pp. 113-177
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We sketch the circle of fundamental ideas and trends in the development of one of the important branches of combinatorial analysis—the theory of enumerating the permutations with restricted positions, which dates back to Euler, Monmort, Lucas, Cayley, and other classical authors. We devote a great deal of attention to new and up-to-date trends of the theory, some of which are still in the formative stage. We state 10 conjectures and problems.
@article{INTV_1992_30_a1,
author = {V. S. Shevelev},
title = {Some problems of the theory of enumerating the permutations with restricted positions},
journal = {Itogi nauki i tehniki. Seri\^a, Teori\^a vero\^atnostej. Matemati\v{c}eska\^a statistika. Teoreti\v{c}eska\^a kibernetika},
pages = {113--177},
year = {1992},
volume = {30},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTV_1992_30_a1/}
}
TY - JOUR AU - V. S. Shevelev TI - Some problems of the theory of enumerating the permutations with restricted positions JO - Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika PY - 1992 SP - 113 EP - 177 VL - 30 UR - http://geodesic.mathdoc.fr/item/INTV_1992_30_a1/ LA - ru ID - INTV_1992_30_a1 ER -
%0 Journal Article %A V. S. Shevelev %T Some problems of the theory of enumerating the permutations with restricted positions %J Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika %D 1992 %P 113-177 %V 30 %U http://geodesic.mathdoc.fr/item/INTV_1992_30_a1/ %G ru %F INTV_1992_30_a1
V. S. Shevelev. Some problems of the theory of enumerating the permutations with restricted positions. Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 30 (1992), pp. 113-177. http://geodesic.mathdoc.fr/item/INTV_1992_30_a1/