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math.CO2023
Staircase graph words
Sela Fried, Toufik Mansour
Generalizing the notion of staircase words, introduced by Knopfmacher et.\ al, we define staircase graph words. These are functions from the vertex set of a graph into the…
math.CO2023
The total number of descents and levels in tensor words and cyclic tensor words
Sela Fried, Toufik Mansour
We obtain an explicit formula for the total number of descents and levels in tensor words and cyclic tensor words of arbitrary dimension. We also establish the exact maximal number…