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Bijections for lattice paths between two boundaries

We prove that on the set of lattice paths with steps $N=(0,1)$ and $E=(1,0)$ that lie between two boundaries $B$ and $T$, the two statistics `number of $E$ steps shared with $B$' and `number of $E$ steps shared with $T$' have a symmetric joint distribution. We give an involution that switches these...

Бүрэн тодорхойлолт

-д хадгалсан:
Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: Sergi Elizalde, Martin Rubey
Формат: Artigo
Хэл сонгох:Inglês
Хэвлэсэн: Discrete Mathematics & Theoretical Computer Science 2012-01-01
Цуврал:Discrete Mathematics & Theoretical Computer Science
Нөхцлүүд:
Онлайн хандалт:https://dmtcs.episciences.org/3086/pdf
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