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pro vyhledávání: '"McClinton, Matt"'
We introduce a generalization of parking functions called $t$-metered $(m,n)$-parking functions, in which one of $m$ cars parks among $n$ spots per hour then leaves after $t$ hours. We characterize and enumerate these sequences for $t=1$, $t=m-2$, an
Externí odkaz:
http://arxiv.org/abs/2406.12941
We provide generating functions, formulas, and asymptotic expressions for the number of Catalan words based on the number of runs of ascents (descents), runs of weak ascents (descents), $\ell$-valleys, valleys, symmetric valleys, $\ell$-peaks, peaks,
Externí odkaz:
http://arxiv.org/abs/2404.05672
Autor:
Cruz, Ari, Harris, Pamela E., Harry, Kimberly J., Kretschmann, Jan, McClinton, Matt, Moon, Alex, Museus, John O., Redmon, Eric
Recall that $\alpha=(a_1,a_2,\ldots,a_n)\in[n]^n$ is a parking function if its nondecreasing rearrangement $\beta=(b_1,b_2,\ldots,b_n)$ satisfies $b_i\leq i$ for all $1\leq i\leq n$. In this article, we study parking functions based on their ascents
Externí odkaz:
http://arxiv.org/abs/2312.16786
Numberlink is a puzzle game in which players are given a grid with nodes marked with a natural number, $n$, and asked to create $n$ connections with neighboring nodes. Connections can only be made with top, bottom, left and right neighbors, and one c
Externí odkaz:
http://arxiv.org/abs/2210.02888
Autor:
Janet L. Meyer
Jeremiah Johnson, The Way We Were, Absence of Malice, Out of Africa, Tootsie, The Firm, Searching for Bobby Fischer--Sydney Pollack has produced, directed or appeared in some of the biggest and most influential films of the last quarter century. His