3 papers
math.CO2021
A preliminary result for generalized intersecting families
Brian Chan
Intersecting families and blocking sets feature prominently in extremal combinatorics. We examine the following generalization of an intersecting family investigated by Hajnal, Rot…
math.CO2018
Periodic P-Partitions
Brian T. Chan
In this paper, we introduce a class of -partitions that we call periodic -partitions, then prove that such -partitions satisfy a homogeneous first-order mat…
math.CO2016
Potential Methods for Extending Galvin and Jónsson's Characterization of Distributive Sublattices of Free Lattices
Brian T. Chan
In 1959, F.Galvin and B.Jonsson characterized distributive sublattices of free lattices in their paper. In this paper, I will create new proofs to a portion of Galvin and Jónsson's…