2001年5月
An operator on permutations and its application to Eulerian numbers
EUROPEAN JOURNAL OF COMBINATORICS
- 巻
- 22
- 号
- 4
- 開始ページ
- 569
- 終了ページ
- 576
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1006/eujc.2000.0497
- 出版者・発行元
- ACADEMIC PRESS LTD
We introduce an operator on permutations of 1, 2,..., n, which preserves the numbers of their ascents and descents. We investigate periods of permutations under the operator and structures of permutations with given periods. As its application we prove some congruence relations modulo a prime for Eulerian numbers. (C) 2001 Academic Press.
- リンク情報
- ID情報
-
- DOI : 10.1006/eujc.2000.0497
- ISSN : 0195-6698
- Web of Science ID : WOS:000170861200015