Convex expansion for finite distributive lattices with applications
Combinatorics
2019-08-30 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1810.06762,
title = {Convex expansion for finite distributive lattices with applications},
author = {Xu Wang and Xuxu Zhao and Haiyuan Yao},
journal= {arXiv preprint arXiv:1810.06762},
year = {2019}
}
Comments
8 pages, 6 figures