Amy Grady

activity

20152019

collaborators

4 papers

math.CO2019

Tree Descent Polynomials: Unimodality and Central Limit Theorem

Amy Grady, Svetlana Poznanović

For a poset whose Hasse diagram is a rooted plane forest $F$ , we consider the corresponding tree descent polynomial $A_{F} (q)$ , which is a generating function of the number of descen…

math.CO2016

Graphical Mahonian Statistics on Words

Amy Grady, Svetlana Poznanović

Foata and Zeilberger defined the graphical major index, $maj_{U}^{'}$ , and the graphical inversion index, $inv_{U}^{'}$ , for words. These statistics are a generalization of…

math.CO2015

Sorting Index and Mahonian-Stirling Pairs for Labeled Forests

Amy Grady, Svetlana Poznanovik

Björner and Wachs defined a major index for labeled plane forests and showed that it has the same distribution as the number of inversions. We define and study the distributions of…

math.CO2015

Cycle Domination, Independence and Irredundance in graphs

Amy Grady, Fiona Knoll, Renu Laskar +1

A set $S$ of vertices in a graph $G = (V, E)$ is called {\em cycle independent} if the induced subgraph $⟨ S ⟩$ is acyclic, and called {\em odd-cycle indepdendet} if $\l…