- P. Bednarz, A. Szynal-Liana, Bihyperbolic numbers of the Fibonacci type and triangular matrices (tables), Azerbaijan Journal of Mathematics, vol. 14, no 2 (2024), 79-87.
- P. Bednarz, M. Pirga, On Proper 2-Dominating Sets in Graphs , Symmetry (2024), 16, 296. https://doi.org/10.3390/sym16030296
- P. Bednarz, Relations between the existence of a (2-d)-kernel and parameters γ2(G), α(G), Indian Journal of Mathematics, Vol. 64, No. 1, (2022), 93-107
- A. Michalski, P. Bednarz, On independent secondary dominating sets in generalized graph products, Symmetry, 2021, 13(12), 2399.
- P. Bednarz, N. Paja, On (2-d)-kernels in two generalizations of the Petersen graph , Symmetry, 2021, 13(10), 1948.
- P. Bednarz, On (2-d)-kernels in the tensor product of graphs, Symmetry 2021, 13(2), 230.
- P. Bednarz, Podwójnie dominujące jądra w grafach i ich produktach, Rozprawa doktorska, Kraków, 2018
- P. Bednarz, I. Włoch, An algorithm determining (2-d)-kernels in trees, Utilitas Mathematica 102 (2017), 215-222
- P. Bednarz, I. Włoch, On (2-d)-kernels in the cartesian product of graphs, Ann. Univ. Mariae Curie-Skłodowska Sect. A, 70 (2) (2016), 1-8
- P. Bednarz, C. Hernandez-Cruz, I. Włoch, On the existence and the number of (2-d)-kernels in graphs, Ars Combinatoria 121 (2015) 341-351