Publications

2025

1. JCD

   Tightness of the weight-distribution bound for strongly regular polar graphs

   Rhys J. Evans, Sergey Goryainov, and Leonid Shalaginov

   Journal of Combinatorial Designs, 2025

   DOI arXiv Bib HTML

   @article{EGS_2025,
     author = {Evans, Rhys J. and Goryainov, Sergey and Shalaginov, Leonid},
     title = {Tightness of the weight-distribution bound for strongly regular polar graphs},
     journal = {Journal of Combinatorial Designs},
     volume = {33},
     number = {12},
     pages = {435--445},
     doi = {https://doi.org/10.1002/jcd.22001},
     url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/jcd.22001},
     eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/jcd.22001},
     year = {2025}
   }

2. DM

   Equitable 2-partitions of the Johnson graphs J(n,3)

   Rhys J. Evans, Alexander L. Gavrilyuk, Sergey Goryainov, and Konstantin Vorobev

   Discrete Mathematics, 2025

   DOI arXiv Bib HTML

   @article{EGGV_2025,
     author = {Evans, Rhys J. and Gavrilyuk, Alexander L. and Goryainov, Sergey and Vorobev, Konstantin},
     title = {Equitable 2-partitions of the Johnson graphs $J(n,3)$},
     journal = {Discrete Mathematics},
     volume = {348},
     number = {10},
     pages = {114565},
     year = {2025},
     issn = {0012-365X},
     doi = {https://doi.org/10.1016/j.disc.2025.114565},
     url = {https://www.sciencedirect.com/science/article/pii/S0012365X25001736},
   }

3. arXiv

   A census of Cayley graphs

   Rhys J. Evans and Primož Potočnik

   2025

   DOI arXiv Bib

   @unpublished{EP_2025,
     title = {A census of Cayley graphs},
     author = {Evans, Rhys J. and Potočnik, Primož},
     year = {2025},
     eprint = {2512.05406},
     archiveprefix = {arXiv},
     primaryclass = {math.CO},
     url = {https://arxiv.org/abs/2512.05406},
     doi = {10.48550/arXiv.2206.15341}
   }

4. Zenodo

   Minimal Cayley graphs on 2 to 511 vertices (excluding 384)

   Rhys J. Evans, Kolja Knauer, and Primož Potočnik

   2025

   DOI Bib HTML

   @data{EKP_2025_dataA,
     author = {Evans, Rhys J. and Knauer, Kolja and Potočnik, Primož},
     title = {Minimal Cayley graphs on 2 to 511 vertices (excluding 384)},
     year = {2025},
     publisher = {Zenodo},
     version = {0.1},
     doi = {10.5281/zenodo.15704803},
     url = {https://doi.org/10.5281/zenodo.15704803},
   }

5. Zenodo

   Minimal Cayley graphs on 384 vertices

   Rhys J. Evans, Kolja Knauer, and Primož Potočnik

   2025

   DOI Bib HTML

   @data{EKP_2025_dataB,
     author = {Evans, Rhys J. and Knauer, Kolja and Potočnik, Primož},
     title = {Minimal Cayley graphs on 384 vertices},
     year = {2025},
     publisher = {Zenodo},
     version = {0.1},
     doi = {10.5281/zenodo.15721425},
     url = {https://doi.org/10.5281/zenodo.15721425},
   }

2024

1. GAP

   GraphSym – Graphs with symmetries library for GAP, Version 0.1

   Rhys J. Evans and Primož Potočnik

   2024

   Bib HTML Website

   @manual{GraphSym_2024,
     author = {Evans, Rhys J. and Potočnik, Primož},
     key = {Graphsym},
     title = {{GraphSym -- Graphs with symmetries library for GAP, Version 0.1}},
     url = {https://rhysje00.github.io/graphsym/},
     year = {2024}
   }

2023

1. DM

   A general construction of strictly Neumaier graphs and a related switching

   Rhys J. Evans, Sergey Goryainov, Elena V. Konstantinova, and Alexander D. Mednykh

   Discrete Mathematics, 2023

   DOI arXiv Bib HTML

   @article{EGKM_2023,
     title = {A general construction of strictly Neumaier graphs and a related switching},
     author = {Evans, Rhys J. and Goryainov, Sergey and Konstantinova, Elena V. and Mednykh, Alexander D.},
     journal = {Discrete Mathematics},
     volume = {346},
     number = {7},
     pages = {113384},
     issn = {0012-365X},
     doi = {10.1016/j.disc.2023.113384},
     url = {\verb+(https://www.sciencedirect.com/science/article/pii/S0012365X23000705)+},
     year = {2023}
   }

2. DM

   Bounds on regular induced subgraphs of strongly regular graphs

   Rhys J. Evans

   Discrete Mathematics, 2023

   DOI arXiv Bib HTML

   @article{E_2023,
     title = {Bounds on regular induced subgraphs of strongly regular graphs},
     author = {Evans, Rhys J.},
     journal = {Discrete Mathematics},
     volume = {346},
     number = {1},
     pages = {113154},
     issn = {0012-365X},
     doi = {10.1016/j.disc.2022.113154},
     url = {\verb+(https://www.sciencedirect.com/science/article/pii/S0012365X22003600)+},
     year = {2023}
   }

2020

1. GAP

   AGT – Algebraic Graph Theory package for GAP, Version 0.2

   Rhys J. Evans

   2020

   Bib HTML

   @manual{AGT_2020,
     author = {Evans, Rhys J.},
     key = {agt},
     title = {{AGT -- Algebraic Graph Theory package for GAP, Version 0.2}},
     url = {\verb+(https://gap-packages.github.io/agt/)+},
     year = {2020}
   }

2019

1. E-JC

   The smallest strictly Neumaier graph and its generalisations

   Rhys J. Evans, Sergey Goryainov, and Dmitry Panasenko

   Electronic Journal of Combinatorics, 2019

   DOI arXiv Bib HTML

   @article{EGP_2019,
     title = {The smallest strictly Neumaier graph and its generalisations},
     author = {Evans, Rhys J. and Goryainov, Sergey and Panasenko, Dmitry},
     journal = {Electronic Journal of Combinatorics},
     volume = {26},
     number = {2},
     pages = {P2.29},
     doi = {10.37236/8189},
     year = {2019}
   }