Dinv and Area

[摘要] We give a new combinatorial proof of the well known result that the dinv of an $(m,n)$-Dyck path is equal to the area of its sweep map image. The first proof of this remarkable identity for co-prime $(m,n)$ is due to Loehr and Warrington. There is also a

[学科分类] 离散数学和组合数学

[关键词] Rational Dyck paths;Sweep map;Dinv