On the Rank Function of a Differential Poset

[摘要] We study $r$-differential posets, a class of combinatorial objects introduced in 1988 by the first author, which gathers together a number of remarkable combinatorial and algebraic properties, and generalizes important examples of ranked posets, including

[学科分类] 离散数学和组合数学

[关键词] Partially ordered set;Differential poset;Rank function;Young lattice;Young-Fibonacci lattice;Hasse diagram;Hasse walk;Hypergraph;Finite project