1 citations · 1 across the 8 of their papers we have counts for
8 papers
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…
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…
On the maximum of the weighted binomial sum
Seok Hyun Byun, Svetlana Poznanović
Recently, Glasby and Paseman considered the following sequence of binomial sums and showed that this sequence is unimodal and attai…
Lozenge Tilings of Hexagons with Intrusions I: Generalized Intrusion
Seok Hyun Byun, Tri Lai
MacMahon's classical theorem on the number of boxed plane partitions has been generalized in several directions. One way to generalize the theorem is to view boxed plane partitions…
Lozenge tilings of a hexagon with a horizontal intrusion
Seok Hyun Byun
Motivated by a conjecture posed by Fulmek and Krattenthaler, we provide product formulas for the number of lozenge tilings of a semiregular hexagon containing a horizontal intrusio…
Lozenge tilings of hexagons with holes on three crossing lines
Seok Hyun Byun
The enumeration of lozenge tilings of hexagons with holes has received much attention during the last three decades. One notable feature is that a lot of the recent development inv…
Three product formulas for ratios of tiling counts of hexagons with collinear holes
Seok Hyun Byun
Rosengren found an explicit formula for a certain weighted enumeration of lozenge tilings of a hexagon with an arbitrary triangular hole. He pointed out that a certain ratio corres…
A short proof of two shuffling theorems for tilings and a weighted generalization
Seok Hyun Byun
Recently, Lai and Rohatgi discovered a shuffling theorem for lozenge tilings of doubly-dented hexagons, which generalized the earlier work of Ciucu. Later, Lai proved an analogous…