9 citations · 11 across the 6 of their papers we have counts for
7 papers
Fence Posets, Good Gradings and Frobenius Maximal Parabolics
Anthony Giaquinto, John Irving, Aaron Lauve +1
Let be a Frobenius maximal parabolic subalgebra of . For any for which the Kirillov form is non-degenerate, l…
Trees, Parking Functions and Factorizations of Full Cycles
John Irving, Amarpreet Rattan
Parking functions of length are well known to be in correspondence with both labelled trees on vertices and factorizations of the full cycle into…
Inequivalent Factorizations of Permutations
Gregory Berkolaiko, John Irving
Two factorizations of a permutation into products of cycles are equivalent if one can be obtained from the other by repeatedly interchanging adjacent disjoint factors. This paper s…
The number of lattice paths below a cyclically shifting boundary
J. Irving, A. Rattan
We count the number of lattice paths lying under a cyclically shifting piecewise linear boundary of varying slope. Our main result extends well known enumerative formulae concernin…
Minimal transitive factorizations of permutations into cycles
John Irving
We introduce a new approach to an enumerative problem closely linked with the geometry of branched coverings; that is, we study the number of ways a permutation can be decomposed i…
Factorizations of permutations into star transpositions
John Irving, Amarpreet Rattan
We give a compact expression for the number of factorizations of any permutation into a minimal number of transpositions of the form . Our result generalizes earlier work of…