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arXiv · 1810.06762

Convex expansion for finite distributive lattices with applications

Xu Wang·Xuxu Zhao·Haiyuan Yao
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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.

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Xu Wang, Xuxu Zhao, Haiyuan Yao. 2019-08-29. Convex expansion for finite distributive lattices with applications. https://arxiv.org/abs/1810.06762

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