19 citations · 31 across the 14 of their papers we have counts for
5 papers · 1 filter
Tridiagonal real symmetric matrices with a connection to Pascal's triangle and the Fibonacci sequence
Emily Gullerud, Rita Johnson, aBa Mbirika
We explore a certain family of tridiagonal real symmetric matrices. After deriving a three-term recurrence relation for the characteristic pol…
Coprime and prime labelings of graphs
Adam H. Berliner, Nathaniel Dean, Jonelle Hook +3
A coprime labeling of a simple graph of order is a labeling in which adjacent vertices are given relatively prime labels, and a graph is prime if the labels used can be taken t…
On the sign representations for the complex reflection groups
Aba Mbirika, Thomas Pietraho, William Silver
We present a formula for the values of the sign representations of the complex reflection groups in terms of its image under a generalized Robinson-Schensted map.
Generalizing Tanisaki's ideal via ideals of truncated symmetric functions
Aba Mbirika, Julianna Tymoczko
We define a family of ideals in the polynomial ring that are parametrized by Hessenberg functions (equivalently Dyck paths or ample partitions).…
A Hessenberg generalization of the Garsia-Procesi basis for the cohomology ring of Springer varieties
Aba Mbirika
The Springer variety is the set of flags stabilized by a nilpotent operator. In 1976, T.A. Springer observed that this variety's cohomology ring carries a symmetric group action, a…