2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.CO2020★ 2 cited
The Noncrossing Bond Poset of a Graph
C. Matthew Farmer, Joshua Hallam, Clifford Smyth
The partition lattice and noncrossing partition lattice are well studied objects in combinatorics. Given a graph on vertex set , its bond lattice, , is t…
math.CO2018
The Whitney Duals of a Graded Poset
Rafael S. González D'León, Joshua Hallam
We introduce the notion of a \emph{Whitney dual} of a graded poset. Two posets are Whitney duals to each other if (the absolute value of) their Whitney numbers of the first and sec…
math.CO2016
Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions
Edward E. Allen, Joshua Hallam, Sarah K. Mason
We describe a combinatorial formula for the coefficients when the dual immaculate quasisymmetric functions are decomposed into Young quasisymmetric Schur functions. We prove this u…