关于(α,β,3) -半序集宽度的上界

About the Relationship Between and in its Semi-sequential set of/α,β,3/

本文讨论了(α,β,3) 一半序集中α和β的关系,得到如下结果:若 p 是一个(α,β,3) 一半序集,则α≤3β+5.

This paper is intended to discuss the relationship between and in its semi-sequential set of(α,β,3) .Firstly it proves that:Suppose P is a semi-sequential set of(α,β,3. ),2≥5,β≥1, P.has at least three maximax chains which don't intersect.Consequently,the paper draws sich conclusion:Suppose there exists in P three maximax chains,the two of which don't intersect,then≤3β+3 Suppose three exists at least two maximax cnains which don't intersect,thenα≤3β+5.