13 citations · 28 across the 9 of their papers we have counts for
8 papers · 1 filter
Hyperbinary partitions and q-deformed rationals
Thomas McConville, James Propp, Bruce E. Sagan
A hyperbinary partition of the nonnegative integer n is a partition where every part is a power of 2 and every part appears at most twice. We give three applications of the length…
K-promotion on m-packed labelings of posets
Jamie Kimble, Bruce E. Sagan, Avery St. Dizier
Schutzenberger's promotion operator, pro, is a fundamental map in dynamical algebraic combinatorics. At first, its action was mainly considered on standard Young tableaux. But pro…
Ordered set partition posets
Bruce E Sagan, Sheila Sundaram
A set partition is said to be ordered if the blocks of the partition are listed in a specific order. The ordered set partitions of , with a unique minimal element a…
Stirling numbers for complex reflection groups
Bruce E Sagan, Joshua Swanson
In an earlier paper, we defined and studied q-analogues of the Stirling numbers of both types for the Coxeter group of type B. In the present work, we show how this approach can be…
Chromatic symmetric functions and change of basis
Bruce E. Sagan, Foster Tom
We prove necessary conditions for certain elementary symmetric functions, , to appear with nonzero coefficient in Stanley's chromatic symmetric function as well as in the gene…
Probabilistic proofs of hook length formulas involving trees
Bruce E. Sagan
Recently, Han discovered two formulas involving binary trees which have the interestig property that hooklengths appear as exponents. The purpose of this note is to give a probabil…