Barbieri, M.; Lekše, M.; Potočnik, P.;  Rekvényi, K. Separating subsets from their images, On ArXiV, https://arxiv.org/abs/2508.20731

Camina, R.; Maróti, A.; Pacifici, E.; Parker, C.; Rekvenyi, K.; Saunders, J.; Sotomayor, V.; Tracey, G.; van Beek, M. Groups with conjugacy classes of coprime sizes. On ArXiV, https://arxiv.org/abs/2508.03851

 Lee, M.; Rekvenyi, K. Prime Simplicial Complexes of Finite Groups. On ArXiV,  https://arxiv.org/abs/2506.19032

Barbieri, M.; Rekvenyi, K. Elementary proofs of the diameter bounds for the power graphs. Bulletin of the Australian Math. Soc. Published online 2025:1-4. 

Freedman, S.; Huang, H.; Lee, M.; Rekvenyi, K. On the generalised Saxl graphs of permutation groups, https://arxiv.org/abs/2410.22613

Rekvényi, K. On the orbital diameter of groups of affine type.  Communications in Algebra, 2025, \newline DOI:https://doi.org/10.1080/00927872.2025.2465910

Lee, M.; Rekvenyi, K. On the diameter of intersection graphs of finite groups, On ArXiV,  https://arxiv.org/abs/2403.04157

Dona, D.; Liebeck, M.W. ; Rekvenyi, K. Involutions in finite simple groups as products of conjugates. Communications in Algebra, 2024, DOI: 10.1080/00927872.2024.2328803

 Rekvenyi, K. On the orbital diameter of groups of diagonal type. Journal of Combinatorial Theory, Series A. Vol: 190 , 2022, 105636, ISSN: 0097-3165 

 Cameron, P.J.; Glass, C.A.; Rekvenyi, K.; Schumacher, R.U., Acyclic orientations and poly-Bernoulli numbers, On ArXiV, https://arxiv.org/abs/1412.3685 $\star$

Rekvenyi K,  Paul Erdős's mathematics as a social activity, British Journal for the History of Mathematics, Vol: 34, 2019, Pages: 134-142, ISSN: 2637-5451 $\star$