5 papers
Enumerations and Bijections for Stanley Polyominoes
Jean-Luc Baril, Aubrey Blecher, José Luis ramÃrez
Stanley polyominoes are a subclass of parallelogram polyominoes in which each row begins strictly to the right of the beginning of the previous row and ends strictly to the right o…
Diagonals in Riordan matrices and applications
Gi-Sang Cheon, Ana Luzón, Manuel A. Morón +1
We introduce a method for describing Riordan matrices via recurrence relations along their diagonals. This provides a new structural description that complements the classical row-…
Black Cell Capacity in Catalan polyominoes
Jean-Luc Baril, Sela Fried, Nathanaël Hassler +1
A Catalan word is a sequence of nonnegative integers such that and for . Given a Catalan word, we construct a column…
Restricted Fubini Rankings and Restricted Unit Interval Parking Functions
Camilo Barreto, Pamela Harris, José L. RamÃrez +2
We study three natural types of restrictions on Fubini rankings and unit interval parking functions, which are motivated by their correspondence with ordered set partitions. For ea…
Lucky Cars in Fubini Rankings and Unit Fubini Rankings
Camilo Barreto, Melissa Beerbower, Jennifer Elder +6
We study lucky cars in subsets of parking functions, called Fubini rankings and unit Fubini rankings. A Fubini ranking is a sequence of nonnegative integers that encodes a valid ra…