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Horizontal visibility graph of a random restricted growth sequence.

Authors:
Toufik Mansour Reza Rastegar Alexander Roitershtein

Adv Appl Math 2021 Mar 9;124. Epub 2020 Dec 9.

Department of Statistics, Texas A&M University, College Station, TX 77843, USA.

We study the distributional properties of horizontal visibility graphs associated with random restrictive growth sequences and random set partitions of size . 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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http://dx.doi.org/10.1016/j.aam.2020.102145DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7929487PMC
March 2021

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