Horizontal visibility graph of a random restricted growth sequence

Toufik Mansour; Reza Rastegar; Alexander Roitershtein

doi:10.1016/j.aam.2020.102145

Horizontal visibility graph of a random restricted growth sequence

Toufik Mansour, Reza Rastegar, Alexander Roitershtein

Department of Mathematics

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

Abstract

We study the distributional properties of horizontal visibility graphs associated with random restrictive growth sequences and random set partitions of size n. Our main results are formulas expressing the expected degree of graph nodes in terms of simple explicit functions of a finite collection of Stirling and Bernoulli numbers.

Original language	English
Article number	102145
Journal	Advances in Applied Mathematics
Volume	124
DOIs	https://doi.org/10.1016/j.aam.2020.102145
State	Published - Mar 2021

Bibliographical note

Publisher Copyright:
© 2020 Elsevier Inc.

Keywords

Horizontal visibility graph
Partitions of a set
Restricted growth function

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aam.2020.102145

Cite this

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title = "Horizontal visibility graph of a random restricted growth sequence",

abstract = "We study the distributional properties of horizontal visibility graphs associated with random restrictive growth sequences and random set partitions of size n. Our main results are formulas expressing the expected degree of graph nodes in terms of simple explicit functions of a finite collection of Stirling and Bernoulli numbers.",

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author = "Toufik Mansour and Reza Rastegar and Alexander Roitershtein",

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doi = "10.1016/j.aam.2020.102145",

language = "English",

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AU - Rastegar, Reza

AU - Roitershtein, Alexander

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AB - We study the distributional properties of horizontal visibility graphs associated with random restrictive growth sequences and random set partitions of size n. Our main results are formulas expressing the expected degree of graph nodes in terms of simple explicit functions of a finite collection of Stirling and Bernoulli numbers.

KW - Horizontal visibility graph

KW - Partitions of a set

KW - Restricted growth function

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JO - Advances in Applied Mathematics

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M1 - 102145

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Horizontal visibility graph of a random restricted growth sequence

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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