Coen del Valle

works on

digraph codes 1 expansion properties 1 graph codes 1 group theory 1 ldpc codes 1 linear codes 1

From the 1 of 6 linked papers with an AI index.

collaborators

6 papers

cs.IT2026

Constructing linear codes from digraphs and groups

Coen del Valle, Cheryl E. Praeger

The paper extends the Cayley code construction by introducing graph and digraph codes, analyzes their algebraic and combinatorial properties, and shows they can yield good LDPC cod…

math.CO2026

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.GR2026

The Gill-Guillot commuting graph for sporadic and related groups

David A. Craven, Coen del Valle, Chris Parker

Let $G$ be a finite group and $C$ a normal subset of $G$ . The Gill-Guillot graph has vertices $C$ and $x, y \in C$ are adjacent if and only if $x$ and $…

math.CO2025

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 $I ¨ (k, l)$ and $Î¼(k,…

math.GR2025

A character theoretic formula for base size II

Coen del Valle

A base for a permutation group $G$ acting on a set $I^c ◯$ is a sequence $B$ of points of $I^c ◯$ such that the pointwise stabiliser $G_{B}$ is trivial. The base size…

math.GR2025

On Cameron's Greedy Conjecture

Coen del Valle, Colva M. Roney-Dougal

A base for a permutation group $G$ acting on a set $I^c ◯$ is a subset $B$ of $I^c ◯$ whose pointwise stabiliser $G_{(B)}$ is trivial. There is a natural greedy algor…