P. Dukes

activity

20082023

most citedFractional edge-decompositions of dense graphs and related eigenvalues

4 citations · 11 across the 23 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.CO2018

Constructions and uses of incomplete pairwise balanced designs

Peter J. Dukes, Esther R. Lamken

We give explicit constructions for incomplete pairwise balanced designs IPBD $((v; w), K)$ , or, equivalently, edge-decompositions of a difference of two cliques $K_{v} ∖ K_{w}$ in…

math.CO2018

Incidence structures near configurations of type $(n_{3})$

Peter Dukes, Kaoruko Iwasaki

An $(n_{3})$ configuration is an incidence structure equivalent to a linear hypergraph on $n$ vertices which is both 3-regular and 3-uniform. We investigate a variant in which one co…

Constructions and uses of incomplete pairwise balanced designs

Incidence structures near configurations of type (n3​)

Incidence structures near configurations of type $(n_{3})$