Interior vertices in set partitions

Toufik Mansour

doi:10.1016/j.aam.2018.07.006

Interior vertices in set partitions

Toufik Mansour

Department of Mathematics

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

Abstract

In this paper, we study the generating function for the number of set partitions of [n] represented as bargraphs according to the number of interior vertices. In particular, we find an explicit formula for the total number of interior vertices over set partitions of [n].

Original language	English
Pages (from-to)	60-69
Number of pages	10
Journal	Advances in Applied Mathematics
Volume	101
DOIs	https://doi.org/10.1016/j.aam.2018.07.006
State	Published - Oct 2018

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Inc.

Keywords

Bargraphs
Generating functions
Interior vertices
Set partitions

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aam.2018.07.006

Cite this

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title = "Interior vertices in set partitions",

abstract = "In this paper, we study the generating function for the number of set partitions of [n] represented as bargraphs according to the number of interior vertices. In particular, we find an explicit formula for the total number of interior vertices over set partitions of [n].",

keywords = "Bargraphs, Generating functions, Interior vertices, Set partitions",

author = "Toufik Mansour",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2018",

month = oct,

doi = "10.1016/j.aam.2018.07.006",

language = "English",

volume = "101",

pages = "60--69",

journal = "Advances in Applied Mathematics",

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AB - In this paper, we study the generating function for the number of set partitions of [n] represented as bargraphs according to the number of interior vertices. In particular, we find an explicit formula for the total number of interior vertices over set partitions of [n].

KW - Bargraphs

KW - Generating functions

KW - Interior vertices

KW - Set partitions

UR - https://www.scopus.com/pages/publications/85050250382

U2 - 10.1016/j.aam.2018.07.006

DO - 10.1016/j.aam.2018.07.006

M3 - Article

AN - SCOPUS:85050250382

SN - 0196-8858

VL - 101

SP - 60

EP - 69

JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

ER -

Interior vertices in set partitions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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