2 papers
math.CO2016
On the cone of weighted graphs generated by triangles
Coen del Valle, Peter Dukes, Kseniya Garaschuk
Motivated by problems involving triangle-decompositions of graphs, we examine the facet structure of the cone of weighted graphs on vertices generated by triangles. Our r…
math.CO2014
Threefold triple systems with nonsingular
Peter J. Dukes, Kseniya Garaschuk
There are various results connecting ranks of incidence matrices of graphs and hypergraphs with their combinatorial structure. Here, we consider the generalized incidence matrix $N…