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 2017Show all

2 papers · 1 filter

math.CO2017

The critical group of the Kneser graph on $2$ -subsets of an $n$ -element set

Joshua E. Ducey, Ian Hill, Peter Sin

In this paper we compute the critical group of the Kneser graph $K G (n, 2)$ . This is equivalent to computing the Smith normal form of a Laplacian matrix of this graph.

math.CO2017★ 3 cited

The Smith group and the critical group of the Grassmann graph of lines in finite projective space and of its complement

Joshua E. Ducey, Peter Sin

We compute the elementary divisors of the adjacency and Laplacian matrices of the Grassmann graph on $2$ -dimensional subspaces in a finite vector space. We also compute the corresp…

The critical group of the Kneser graph on 2-subsets of an n-element set

The Smith group and the critical group of the Grassmann graph of lines in finite projective space and of its complement

The critical group of the Kneser graph on $2$ -subsets of an $n$ -element set