Coen del Valle

activity

20162026

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Showing math.COShow all

3 papers · 1 filter

math.CO2024

Regular bipartite multigraphs have many (but not too many) symmetries

Peter J. Cameron, Coen del Valle, Colva M. Roney-Dougal

Let $k$ and $l$ be integers, both at least 2. A $(k, l)$ -bipartite graph is an $l$ -regular bipartite multigraph with coloured bipartite sets of size $k$ . Define $χ (k, l)$ and $μ(k,l)…

math.CO2022

Balancing permuted copies of multigraphs and integer matrices

Coen del Valle, Peter J. Dukes

Given a square matrix $A$ over the integers, we consider the $Z$ -module $M_{A}$ generated by the set of all matrices that are permutation-similar to $A$ . Motivated by analog…

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 $τ_{n}$ of weighted graphs on $n$ vertices generated by triangles. Our r…