Horizontal visibility graph of a random restricted growth sequence

Published 11 Dec 2019 in math.CO and math.PR | (1912.05060v1)

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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