Svetlana Poznanovi'c

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20232025

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math.CO2024

Toggleability Spaces of Fences

Alec Mertin, Svetlana Poznanović

We completely describe the order ideal (resp. antichain) toggleability space for general fences: the space of statistics which are linear combinations of order ideal (antichain) in…

math.CO2023

On the maximum of the weighted binomial sum $(1 + a)^{- r} \sum_{i = 0}^{r} (i m) a^{i}$

Seok Hyun Byun, Svetlana Poznanović

Recently, Glasby and Paseman considered the following sequence of binomial sums ${2^{- r} \sum_{i = 0}^{r} (i m)}_{r = 0}^{m}$ and showed that this sequence is unimodal and attai…

math.CO2023

Descent polynomials for labeled tree

Svetlana Poznanović, Maria Rodriguez Hertz, Solomon Valore-Caplan +1

Motivated by the properties of the descent polynomials, which enumerate permutations of $S_{n}$ with a fixed descent set, we define descent polynomials for labeled rooted trees. We g…

Toggleability Spaces of Fences

On the maximum of the weighted binomial sum (1+a)−r∑i=0r​(im​)ai

Descent polynomials for labeled tree

On the maximum of the weighted binomial sum $(1 + a)^{- r} \sum_{i = 0}^{r} (i m) a^{i}$