Recounting Relations for Set Partitions with Restrictions

被引：0
|
作者：
Shattuck, Mark [1 ]
机构：
[1] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA
来源：
ARS COMBINATORIA | 2009年 / 91卷
关键词：
Stirling numbers of the second kind; Set partitions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide combinatorial arguments of some relations between classical Stirling numbers of the second kind and two refinements of these numbers gotten by introducing restrictions to the distances among the elements in each block of a finite set partition.
引用
收藏
页码：267 / 270
页数：4
相关论文
共 50 条
  • [21] Actions and identities on set partitions
    Marberg, Eric
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2012, 19 (01):
  • [22] Interior vertices in set partitions
    Mansour, Toufik
    [J]. ADVANCES IN APPLIED MATHEMATICS, 2018, 101 : 60 - 69
  • [23] Identities over set partitions
    Constantine, GM
    [J]. DISCRETE MATHEMATICS, 1999, 204 (1-3) : 155 - 162
  • [24] Extended set partitions with successions
    Munagi, Augustine O.
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2008, 29 (05) : 1298 - 1308
  • [25] ON THE NUMBER OF FIBONACCI PARTITIONS OF A SET
    PRODINGER, H
    [J]. FIBONACCI QUARTERLY, 1981, 19 (05): : 463 - 465
  • [26] Statistics in words and partitions of a set
    Asakly, Walaa
    [J]. ANNALES MATHEMATICAE ET INFORMATICAE, 2016, 46 : 3 - 12
  • [27] Extensions of set partitions and permutations
    Caicedo, Jhon B.
    Moll, Victor H.
    Ramirez, Jose L.
    Villamizar, Diego
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2019, 26 (02):
  • [28] PARTITIONS OF THE SET OF FINITE SEQUENCES
    CARRASCO, M
    DIPRISCO, CA
    MILLAN, A
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1995, 71 (02) : 255 - 274
  • [29] Set partitions with circular successions
    Mansour, Toufik
    Munagi, Augustine O.
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2014, 42 : 207 - 216
  • [30] Set partitions with isolated successions
    Mansour, Toufik
    Munagi, Augustine O.
    [J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2022, 28 (01) : 81 - 91
12345