3 papers
math.CO2020
Random bipartite posets and extremal problems
Csaba Biró, Peter Hamburger, H. A. Kierstead +3
Previously, Erdős, Kierstead and Trotter investigated the dimension of random height~ partially ordered sets. Their research was motivated primarily by two goals: (1)~analyzing…
math.CO2019
Planar Posets that are Accessible from Below Have Dimension at Most 6
Csaba Biró, Bartłomiej Bosek, Heather C. Smith +3
Planar posets can have arbitrarily large dimension. However, a planar poset of height has dimension at most , while a planar poset with minimal elements has dimens…
math.MG2015
A strong triangle inequality in hyperbolic geometry
Csaba Biró, Robert C. Powers
For a triangle in the hyperbolic plane, let denote the angles opposite the sides , respectively. Also, let be the height of the altitude to side . Under the a…