Mansour Toufik, Rastegar Reza, Roitershtein Alexander
Department of Mathematics, University of Haifa, 199 Abba Khoushy Ave, 3498838 Haifa, Israel.
Occidental Petroleum Corporation, Houston, TX 77046 and Departments of Mathematics and Engineering, University of Tulsa, OK 74104, USA.
Adv Appl Math. 2021 Mar;124. doi: 10.1016/j.aam.2020.102145. Epub 2020 Dec 9.
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.
我们研究与随机限制增长序列和大小为 的随机集合划分相关的水平可见性图的分布性质。我们的主要结果是用斯特林数和伯努利数的有限集合的简单显式函数来表示图节点期望度的公式。
