Elements protected by records in set partitions

Nenad Cakić; Toufik Mansour; Rebecca Smith

doi:10.1080/10236198.2018.1543418

Elements protected by records in set partitions

Nenad Cakić, Toufik Mansour, Rebecca Smith

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study the generating functions for the number of set partitions of [n] according to the number/sum of elements protected by weak/strong records (smaller elements that follow the weak/strong records). In particular, we present explicit formulas and asymptotics for the total number of number/sum of elements protected by weak/strong records over set partitions of [n].

Original language	American English
Pages (from-to)	1880-1893
Number of pages	14
Journal	Journal of Difference Equations and Applications
Volume	24
Issue number	12
DOIs	https://doi.org/10.1080/10236198.2018.1543418
State	Published - 2 Dec 2018

Keywords

Set partitions
protected by strong records
protected by weak records
records

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Applied Mathematics

Access to Document

10.1080/10236198.2018.1543418

Cite this

@article{f89054092ae94ab2815d5192731dc08d,

title = "Elements protected by records in set partitions",

abstract = "In this paper, we study the generating functions for the number of set partitions of [n] according to the number/sum of elements protected by weak/strong records (smaller elements that follow the weak/strong records). In particular, we present explicit formulas and asymptotics for the total number of number/sum of elements protected by weak/strong records over set partitions of [n].",

keywords = "Set partitions, protected by strong records, protected by weak records, records",

author = "Nenad Caki{\'c} and Toufik Mansour and Rebecca Smith",

note = "Publisher Copyright: {\textcopyright} 2018, {\textcopyright} 2018 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2018",

month = dec,

day = "2",

doi = "10.1080/10236198.2018.1543418",

language = "American English",

volume = "24",

pages = "1880--1893",

journal = "Journal of Difference Equations and Applications",

issn = "1023-6198",

publisher = "Taylor and Francis Ltd.",

number = "12",

}

TY - JOUR

T1 - Elements protected by records in set partitions

AU - Cakić, Nenad

AU - Mansour, Toufik

AU - Smith, Rebecca

PY - 2018/12/2

Y1 - 2018/12/2

N2 - In this paper, we study the generating functions for the number of set partitions of [n] according to the number/sum of elements protected by weak/strong records (smaller elements that follow the weak/strong records). In particular, we present explicit formulas and asymptotics for the total number of number/sum of elements protected by weak/strong records over set partitions of [n].

AB - In this paper, we study the generating functions for the number of set partitions of [n] according to the number/sum of elements protected by weak/strong records (smaller elements that follow the weak/strong records). In particular, we present explicit formulas and asymptotics for the total number of number/sum of elements protected by weak/strong records over set partitions of [n].

KW - Set partitions

KW - protected by strong records

KW - protected by weak records

KW - records

UR - http://www.scopus.com/inward/record.url?scp=85057306849&partnerID=8YFLogxK

U2 - 10.1080/10236198.2018.1543418

DO - 10.1080/10236198.2018.1543418

M3 - Article

SN - 1023-6198

VL - 24

SP - 1880

EP - 1893

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 12

ER -

Elements protected by records in set partitions

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this