Publications

Published articles

• Regular bipartite multigraphs have many (but not too many) symmetries
  P.J. Cameron, C. del Valle, C.M. Roney-Dougal. Discrete Anal. Paper No. 22 (2025). [arXiv]
• Irredundant bases for soluble groups
  S. Brenner, C. del Valle, C.M. Roney-Dougal. Bull. Lond. Math. Soc. 57(10) (2025), 3013–3023. [arXiv]
• Another character theoretic formula for base size
  C. del Valle. Arch. Math. (Basel) 125(5) (2025), 463–468. [arXiv]
• A character theoretic formula for the base size
  C. del Valle. Arch. Math. (Basel) 124(5) (2025), 485–490. [arXiv]
• Greedy base sizes for sporadic simple groups
  C. del Valle. J. Group Theory 28(5) (2025). [arXiv]
• The base size of the symmetric group acting on subsets
  C. del Valle, C.M. Roney-Dougal. Algebr. Comb. 7(4) (2024), 959–967. [arXiv]
• Balancing permuted copies of multigraphs and integer matrices
  C. del Valle, P.J. Dukes. J. Combin. Theory Ser. A 198 (2023). [arXiv]
• A lower bound on HMOLS with equal sized holes
  M. Bailey, C. del Valle, P.J. Dukes. Finite Fields Appl. 74 (2021). [arXiv]
• On the cone of weighted graphs generated by triangles
  C. del Valle, P.J. Dukes, K. Garaschuk. J. Combin. Math. Combin. Comput. 116 (2020), 245–268.
• Some new block designs of dimension three
  C. del Valle, P.J. Dukes. Bull. Inst. Combin. Appl. 87 (2019), 85–102. [arXiv]

Submitted articles

• On the maximum relational complexity of affine groups
  C. del Valle, N. Gill, P. Spiga. Preprint, arXiv:2610.20077.
• The binary actions of sporadic groups
  C. del Valle, N. Gill. Preprint, arXiv:2609.02508.
• Constructing linear codes from digraphs and groups
  C. del Valle, C.E. Praeger. Preprint, arXiv:2607.28016.
• The Gill–Guillot commuting graph for sporadic and related groups
  D.A. Craven, C. del Valle, C.W. Parker. Preprint, arXiv:2602.02032.
• On Cameron's Greedy Conjecture
  C. del Valle, C.M. Roney-Dougal. Preprint, arXiv:2503.23964.

In preparation

• The binary actions of low rank groups of Lie type
  C. del Valle, N. Gill, M.W. Liebeck.