The 1/3-2/3 conjecture for $N$-free ordered sets
2011
A balanced pair in a finite ordered set $P=(V,\leq)$ is a pair $(x,y)$ of elements of $V$ such that the proportion of linear extensions of $P$ that put $x$ before $y$ is in the real interval $[1/3, 2/3]$. We prove that every finite $N$-free ordered set which is not totally ordered has a balanced pair.
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
7
References
0
Citations
NaN
KQI