Alphabetic points and records in inversion sequences

Aubrey Blecher; Arnold Knopfmacher; Toufik Mansour

doi:10.47443/dml.2022.061

Alphabetic points and records in inversion sequences

Aubrey Blecher, Arnold Knopfmacher, Toufik Mansour

Department of Mathematics

University of Haifa

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

Abstract

An alphabetic point in an inversion sequence is a value j where all the values l to its left satisfy l ≤ j and all the values r to its right satisfy r ≥ j. We study alphabetic points and records in inversion sequences of permutations and obtain formulae for the total numbers of alphabetic points, weak records, and strict records.

Original language	American English
Pages (from-to)	85-90
Number of pages	6
Journal	Discrete Mathematics Letters
Volume	10
DOIs	https://doi.org/10.47443/dml.2022.061
State	Published - 2022

Keywords

alphabetic points
inversion sequences
records

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.47443/dml.2022.061

Cite this

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title = "Alphabetic points and records in inversion sequences",

abstract = "An alphabetic point in an inversion sequence is a value j where all the values l to its left satisfy l ≤ j and all the values r to its right satisfy r ≥ j. We study alphabetic points and records in inversion sequences of permutations and obtain formulae for the total numbers of alphabetic points, weak records, and strict records.",

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author = "Aubrey Blecher and Arnold Knopfmacher and Toufik Mansour",

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year = "2022",

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AU - Blecher, Aubrey

AU - Knopfmacher, Arnold

AU - Mansour, Toufik

PY - 2022

Y1 - 2022

N2 - An alphabetic point in an inversion sequence is a value j where all the values l to its left satisfy l ≤ j and all the values r to its right satisfy r ≥ j. We study alphabetic points and records in inversion sequences of permutations and obtain formulae for the total numbers of alphabetic points, weak records, and strict records.

AB - An alphabetic point in an inversion sequence is a value j where all the values l to its left satisfy l ≤ j and all the values r to its right satisfy r ≥ j. We study alphabetic points and records in inversion sequences of permutations and obtain formulae for the total numbers of alphabetic points, weak records, and strict records.

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KW - inversion sequences

KW - records

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U2 - 10.47443/dml.2022.061

DO - 10.47443/dml.2022.061

M3 - Article

SN - 2664-2557

VL - 10

SP - 85

EP - 90

JO - Discrete Mathematics Letters

JF - Discrete Mathematics Letters

ER -

Alphabetic points and records in inversion sequences

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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