80 citations · 239 across the 59 of their papers we have counts for
4 papers · 1 filter
A Polyhedral Proof of a Wreath Product Identity
Robert Davis, Bruce Sagan
In 2013, Beck and Braun proved and generalized multiple identities involving permutation statistics via discrete geometry. Namely, they recognized the identities as specializations…
Descent polynomials
Alexander Diaz-Lopez, Pamela E. Harris, Erik Insko +2
Let be a nonnegative integer and be a finite set of positive integers. In 1915, MacMahon proved that the number of permutations in the symmetric group with…
On the Conjecture
Emily J. Olson, Bruce E. Sagan
Let be a finite poset (partially ordered set), where has cardinality . Consider linear extensions of as permutations in one-line notation.…
Dihedral Transportation and (0,1)-Matrix Classes
Richard A. Brualdi, Bruce E. Sagan
Let R and S be two vectors of real numbers whose entries have the same sum. In the transportation problems one wishes to find a matrix A with row sum vector R and column sum vector…