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math.CO2026
Unimodality and log-concavity of generalized Glasby-Paseman sequences
Seok Hyun Byun, Svetlana Poznanović
In this paper, we consider a two-parameter ( and ) generalization of a sequence that Glasby and Paseman considered. Based on computer experiments, we conjecture its unimodali…
math.CO2026
Lozenge Tilings of Hexagons with Intrusions II: Shuffling Phenomenon
Seok Hyun Byun, Tri Lai
The enumeration of lozenge tilings of hexagons with holes has been studied intensively in recent years. Researchers tried to find shapes and positions of holes in hexagonal regions…