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math.CO2026
Counting Schreier Sets Under Neighborhood Conditions
Ben Chen, Hung Viet Chu, Corbin F. Foss +4
We count Schreier sets that satisfy a neighborhood condition, including -clustered, -consecutive-free, -neighbored, -isolated, and closed under integral -averages. F…
math.CO2026
Schreier-Type Sets and Linear Recurrences: Connections and Developments
Hung Viet Chu
We demonstrate several common techniques for proving linear recurrences from counting Schreier-type sets. These techniques include formula-based arguments, bijective proofs, mathem…
math.CO2025
Linear Recurrences from Counting Schreier-Type Multisets
Hung Viet Chu, Yubo Geng, Julian King +3
A nonempty set is Schreier if . Bird observed that counting Schreier sets in a certain way produces the Fibonacci sequence. Since then, various connections betwe…