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math.CO2026
Small-scale operations on graphic sequences
Irena Rusu
A sequence D=(d1, d2, ..., dn) of positive integers is graphic if it is the degree sequence of a simple graph, called in this case a {\em realization} of D. In this paper, we intro…
math.CO2021
Raney numbers, threshold sequences and Motzkin-like paths
Irena Rusu
We provide new interpretations for a subset of Raney numbers, involving threshold sequences and Motzkin-like paths with long up and down steps. Given three integers n, k, l such th…
math.CO2020
Admissible pinnacle orderings
Irena Rusu, Bridget Eileen Tenner
A pinnacle of a permutation is a value that is larger than its immediate neighbors when written in one-line notation. In this paper, we build on previous work that characterized ad…