2018/10/16 by Xu Wang, Wang, Xu, Xuxu Zhao +3 · 1 citation
Computer Science · #06A07 #06B05 #06D05 #Advanced Algebra and Logic #Combinatorics (math.CO) #FOS: Mathematics #Logic, Reasoning, and Knowledge #Rough Sets and Fuzzy Logic
paper · pdf · doi:10.48550/arxiv.1810.06762
openalex publication_date 2018/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The concept of cutting is first explicitly introduced. By the concept, a convex expansion for finite distributive lattices is considered. Thus, a more general method for drawing the Hasse diagram is given, and the rank generating function of a finite distributive lattice is obtained. In addition, we have several enumerative properties on finite distributive lattices and verify the generalized Euler formula for polyhedrons.