Alison Purdy

activity

20122017

collaborators

4 papers

math.CO2017

Ovoids of Generalized Quadrangles of Order $(q, q^{2} - q)$ and Delsarte Cocliques in Related Strongly Regular Graphs

Mohammad Adm, Ryan Bergen, Ferdinand Ihringer +4

We investigate strongly regular graphs for which Hoffman's ratio bound and Cvetcović's inertia bound are equal. This means that $v e^{-} = m^{-} (e^{-} - k)$ , where $v$ is the number of ve…

math.CO2016

Infection in Hypergraphs

Ryan Bergen, Shaun Fallat, Adam Gorr +5

In this paper a new parameter for hypergraphs called hypergraph infection is defined. This concept generalizes zero forcing in graphs to hypergraphs. The exact value of the infecti…

math.CO2015

Intersection theorems for multisets

Karen Meagher, Alison Purdy

Let $k$ , $t$ and $m$ be positive integers. A $k$ -multiset of $[m]$ is a collection of $k$ integers from the set ${1, ..., m}$ in which the integers can appear more than once. We us…

math.CO2012

The exact bound for the Erdős-Ko-Rado theorem for $t$ -cycle-intersecting permutations

Karen Meagher, Alison Purdy

In this paper we adapt techniques used by Ahlswede and Khachatrian in their proof of the Complete Erdős-Ko-Rado Theorem to show that if $n \geq 2 t + 1$ , then any pairwise $t$ -cycle-i…

Ovoids of Generalized Quadrangles of Order (q,q2−q) and Delsarte Cocliques in Related Strongly Regular Graphs

Infection in Hypergraphs

Intersection theorems for multisets

The exact bound for the Erdős-Ko-Rado theorem for t-cycle-intersecting permutations

Ovoids of Generalized Quadrangles of Order $(q, q^{2} - q)$ and Delsarte Cocliques in Related Strongly Regular Graphs

The exact bound for the Erdős-Ko-Rado theorem for $t$ -cycle-intersecting permutations