Showing 2019Show all
3 papers · 1 filter
math.CO2019
Generalizing Galvin and Jónsson's Classification to N5
Brian T. Chan
The problem of determining (up to lattice isomorphism) which lattices are sublattices of free lattices is in general an extremely difficult and an unsolved problem. A notable resul…
math.CO2019
Locally finite sublattices of free lattices
Brian T. Chan
The problem of determining which infinite lattices are (isomorphic to) sublattices of free lattices is in general unsolved and extremely difficult. In this note, we reduce the prob…
math.CO2019
A generalization of balanced tableaux and marriage problems with unique solutions
Brian Chan
We consider families of finite sets that we call shellable and that have been characterized by Chang and by Hirst and Hughes as being the families of sets that admit unique solutio…