arXiv Analytics

Sign in

arXiv:1810.06762 [math.CO]AbstractReferencesReviewsResources

Convex expansion for finite distributive lattices with applications

Xu Wang, Xuxu Zhao, Haiyuan Yao

Published 2018-10-16Version 1

The concept of cutting is first 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.

Comments: 8 pages, 4 figures
Categories: math.CO
Subjects: 06D05, 06A07, 06B05
Related articles: Most relevant | Search more
arXiv:0906.1389 [math.CO] (Published 2009-06-07, updated 2009-08-21)
A $q$-analogue of the FKG inequality and some applications
arXiv:math/0102176 [math.CO] (Published 2001-02-22, updated 2002-01-29)
Applications of Symmetric Functions to Cycle and Subsequence Structure after Shuffles
arXiv:math/0501186 [math.CO] (Published 2005-01-12, updated 2006-03-07)
A q-Analog of Dual Sequences with Applications

Links

Toolbox