Joshua E. Ducey

activity

20102023

most citedThe Elementary Divisors of the Incidence Matrix of Skew Lines in PG(3,q)

4 citations · 9 across the 6 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.CO2015

On the critical group of the missing Moore graph

Joshua E. Ducey

We consider the critical group of a hypothetical Moore graph of diameter $2$ and valency $57$ . Determining this group is equivalent to finding the Smith normal form of the Laplacia…

math.CO2015

The Smith and Critical Groups of the Square Rook's Graph and its Complement

Joshua E. Ducey, Jonathan Gerhard, Noah Watson

Let $R_{n}$ denote the graph with vertex set consisting of the squares of an $n \times n$ grid, with two squares of the grid adjacent when they lie in the same row or column. This…