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math.CO2026
Slice and Partition Rank Criteria for Polynomial Zero-Avoidance
Simone Costa, Stefano Della Fiore, Mattia Fontana
We study polynomial zero-avoidance over finite vector spaces by means of slice rank and partition rank. We first make the support-entropy method effective by showing how a finite d…
math.CO2025
Graham's rearrangement for a class of semidirect products
Simone Costa, Stefano Della Fiore, Eva R. Engel
A famous conjecture of Graham asserts that every set can be ordered so that all partial sums are distinct. Bedert and Kravitz proved that…