2 papers
math.CO2025
Counting k-ary words by number of adjacency differences of a prescribed size
Sela Fried, Toufik Mansour, Mark Shattuck
Recently, the general problem of enumerating permutations such that for all , where and are fixed, was consider…
math.CO2024
Counting rectangles in (Catalan) words
Sela Fried, Toufik Mansour
Generalizing previous results, we introduce and study a new statistic on words, that we call rectangle capacity. For two fixed positive integers and , this statistic counts…