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math.CO2021
The lattice of arithmetic progressions
Marcel K. Goh, Jad Hamdan, Jonah Saks
This paper concerns the lattice of subsets of that are arithmetic progressions, under the inclusion order. For , this poset is not graded and thus n…
math.PR2021
Universal height and width bounds for random trees
Louigi Addario-Berry, Anna Brandenberger, Jad Hamdan +1
We prove non-asymptotic stretched exponential tail bounds on the height of a randomly sampled node in a random combinatorial tree, which we use to prove bounds on the heights and w…