PUBLIKACJE KSIĄŻKOWE
1. Józef Banaś, Dorota Bród, Beata Rzepka, Repetytorium z analizy matematycznej, Oficyna Wydawnicza PRz, Rzeszów 2010.
2. Dorota Bród, Matematyka dla studentów kierunków: architektura i urbanistyka, ochrona środowiska, Oficyna Wydawnicza PRz, Rzeszów 2013.
3. Dorota Bród, Anetta Szynal-Liana, Jacobsthal numbers, Pell numbers, their generalizations and applications, Oficyna Wydawnicza PRz, Rzeszów 2023.
PUBLIKACJE NAUKOWE
1. D. Bród, A. Włoch, The number of all stable sets in r-ary tree, Folia Sci. Univ. Techn. Resov., 181 (24) (2000), 21-26.
2. D. Bród, Charakteryzacje drzew ekstremalnych ze względu na dominowanie, Rozprawa doktorska, Kraków, 2006.
3. D. Bród, A. Włoch, I. Włoch, On the existence of (k, k-1)-kernels in directed graphs, Journal of Mathematics and Applications 28 (2006), 7-12.
4. D. Bród, Z. Skupień, Trees with extremal numbers of dominating sets, The Australasian Journal of Combinatorics 35 (2006), 273-290.
5. D. Bród, On the number of dominating sets in some classes of trees, International Journal of Pure and Applied Mathematics, Vol. 41, No. 6 (2007), 817-821.
6. D. Bród, Efficient 2-domination in trees, International Journal of Pure and Applied Mathematics, Vol. 42, No. 1 (2008), 13-18.
7. D. Bród, Z. Skupień, Recurrence among trees with most numerous efficient dominating sets, Discrete Mathematics and Theoretical Computer Science, vol. 10:1, 2008, 43-56.
8. D. Bród, On weak domination in graphs, International Journal of Pure and Applied Mathematics, Vol. 43, No.1 (2008), 117-122.
9. D. Bród, A. Włoch, I. Włoch, On the number of minimal dominating sets including the set of leaves in trees, Int. J. Contemp. Math. Sciences, Vol. 4, no. 35 (2009), 1739-1748.
10. D. Bród, A Note on a graph representation of Padovan numbers, Int. J. Contemp. Math. Sciences, Vol. 5, no. 42 (2010), 2065-2068.
11. D. Bród, On the number of minimal dominating sets in some classes of trees, Int. J. Contemp. Math. Sciences, Vol. 6, no. 11 (2011), 503-506.
12. D. Bród, On H-dominating matchings and some number partitions, The Australasian Journal of Combinatorics, 56 (2013), 39-46.
13. U. Bednarz, D. Bród, K. Piejko, A. Włoch, (k,an-1)-Fibonacci numbers and Pk-matchings in multigraphs, Ars Combinatoria 111(2013),345-355.
14. D. Bród, K. Piejko, I. Włoch, Distance Fibonacci numbers, distance Lucas numbers and their applications, Ars Combinatoria 112(2013), 397-409.
15. I. Włoch, U. Bednarz, D. Bród, A. Włoch, M. Wołowiec-Musiał, On a new type of distance Fibonacci numbers, Discrete Applied Mathematics 161, 16-17 (2013) 2695–2701.
16. U. Bednarz, D. Bród, M. Wołowiec-Musiał, On two types of (2,k)-distance Lucas numbers, Ars Combinatoria 115(2014), 467-479.
17. U. Bednarz, D. Bród, I. Włoch, M. Wołowiec-Musiał, On three types of (2,k)- distance Fibonacci numbers and number decompositions, Ars Combinatoria 118 (2015), 391-405.
18. D. Bród, On Distance (r,k)-Fibonacci numbers and Their Combinatorial and Graph Interpretations, Journal of Applied Mathematics, vol. 2015, Article ID 879510, (2015) doi:10.1155/2015/879510.
19. D. Bród, P. Rachwał, P. Strzelecki, Projekcja odwrócona (inverse projection) jako narzędzie wspomagające poznanie przeszłości demograficznej, Przeszłość Demograficzna Polski 38, nr 4, (2016), 89-117.
20. U. Bednarz, D. Bród, A. Szynal-Liana, I. Włoch, M. Wołowiec-Musiał, On Fibonacci numbers in edge-coloured trees, Opuscula Mathematica 37, no. 4, (2017), 479-490.
21. D. Bród, On two-parameters generalization of Fibonacci numbers, Mathematica Applicanda, vol. 45(1), (2017), 81-92.
22. D. Bród, On a two-parameter generalization of Jacobsthal numbers and its graph interpretation, Annales UMCS, sectio A, vol. LXXII, no.2 (2018), 21-28.
23. D. Bród, A. Szynal-Liana, On J(r,n)-Jacobsthal quaternions, Pure and Applied Mathematics Quarterly, vol. 14, no. 3-4 (2018), 579-590.
24. D. Bród, On a new one parameter generalization of Pell numbers, Annales Mathematicae Silesianae 33 (2019), 66-76.
25. D. Bród, On a new generalization of split Pell quaternions, Mathematica Applicanda 47(2) (2019), 245-258.
26. D. Bród, A. Szynal-Liana, On a new generalization of Jacobsthal quaternions and several identities involving these numbers, Commentationes Mathematicae, vol. 1-2, no. 59 (2019), 33-45.
27. D. Bród, On split r-Jacobsthal quaternions, Annales UMCS, sectio A, vol. LXXIV, no. 1 (2020) , 1-14.
28. D. Bród, A. Szynal-Liana, I. Włoch, Two generalizations of dual-hyperbolic balancing numbers, Symmetry 2020, Volume 12, Issue 211, 1866, 1-11.
29. D. Bród, On a new Jacobsthal-type sequence, Ars Combinatoria 150 (2020), 21-29.
30. D. Bród, On some properties of split Horadam quaternions, Acta Univ. Sapientiae, Mathematica, 12, 2 (2020), 260-271.
31. D. Bród, A. Szynal-Liana, On some combinatorial properties of P(r,n)-Pell quaternions, Tatra Mountains Mathematical Publications 77 (2020), 1-12.
32. D. Bród, A. Szynal-Liana, On J(r,n)-Jacobsthal hybrid numbers, Tatra Mountains Mathematical Publications 77 (2020), 13-26.
33. D. Bród, A. Szynal-Liana, I. Włoch, On the combinatorial properties of bihyperbolic balancing numbers, Tatra Mountains Mathematical Publications 77 (2020), 27-38.
34. D. Bród, On distance (k,t)-Fibonacci numbers and their applications, Ars Combinatoria 152 (2020), 129-139.
35. D. Bród, A. Włoch, (2,k)-Distance Fibonacci Polynomials, Symmetry 13(2), 303 (2021), 1-10.
36. D. Bród, A. Szynal-Liana, I. Włoch, On some combinatorial properties of bihyperbolic numbers of the Fibonacci type, Mathematical Methods in the Applied Sciences, 2021; 44: 4607-4615.
37. D. Bród, On balancing and Lucas-balancing quaternions, Discussiones Mathematicae General Algebra and Applications, 41(1), (2021), 55-68.
38. 5. D. Bród, A. Szynal-Liana, I.Włoch, Balancing hybrid numbers, their properties and some identities, Indian Journal of Mathematics, vol. 63, no. 1 (2021), 143-157.
39. D. Bród, A. Szynal-Liana, I. Włoch, On a new generalization of bihyperbolic Pell numbers, Analele Stiintifice ale Universitatii Al l Cuza din lasi - Mathematica, LXVII, f.2. (2021), 251-260.
40. D. Bród, A. Szynal-Liana, I. Włoch, On a new two-parameter generalization of dual-hyperbolic Jacobsthal numbers, Annales UMCS, sectio A, vol. LXXV, no1 (2021), 1-14.
41. D. Bród, On trees with unique locating kernels, Boletín de la Sociedad Matemática Mexicana 27:61 (2021), 1-13.
42. D. Bród, A. Szynal-Liana, I. Włoch, On a new one-parameter generalization of dual-complex Jacobsthal numbers, Acta Univ. Sapientiae, Mathematica 13, 1 (2021), 127-144.
43. D. Bród, A. Szynal-Liana, I. Włoch, Bihyperbolic numbers of the Fibonacci type and their idempotent representation, Commentationes Mathematicae Universitatis Carolinae, 62,4 (2021), 409-416.
44. D. Bród, A. Szynal-Liana, On a New Generalization of Jacobsthal Hybrid Numbers, Azerbaijan Journal of Mathematics, vol. 12, no 1 (2022), 20-31.
45. D. Bród, A. Szynal-Liana, I. Włoch, One-parameter generalization of dual-hyperbolic Pell numbers, Mathematica Slovaca 72, no. 2 (2022), 527-537.
46. D. Bród, A. Szynal-Liana, I. Włoch, Two-parameter generalization of bihyperbolic Jacobsthal numbers, Proyecciones Journal of Mathematics, vol. 41, no.3 (2022), 569-578.
47. D. Bród, A. Michalski, On generalized Jacobsthal and Jacobsthal-Lucas numbers, Annales Mathematicae Silesianae 36, no. 2, (2022), 115-128.
48. D. Bród, A. Szynal-Liana, I. Włoch, On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions, Czechoslovak Mathematical Journal, vol.72, no. 4 (2022), 1239-1248.
49. D. Bród, A. Szynal-Liana, I. Włoch, Two generalizations of dual-complex Lucas-balancing numbers, Acta Univ. Sapientiae Mathematica 14,2 (2022), 220-230.
50. G. Bilgici, D. Bród, On r-Jacobsthal and r-Jacobsthal- Lucas numbers, Annales Mathematicae Silesianae 37, no. 1, (2023), 16-31.
51. D. Bród, A. Szynal-Liana, I. Włoch, One-parameter generalization of the bihyperbolic Jacobsthal numbers, Asian-European Journal of Mathematics, vol. 16, no. 5 (2023) 2350075 (11 pages) .
52. D. Bród, A. Szynal-Liana, On bihypernomials related to balancing and Chebyshev polynomials, Azerbaijan Journal of Mathematics, V. 13, No. 2 (2023), 200-218.
53. D. Bród, A. Szynal-Liana, Generalized commutative Jacobsthal quaternions and some matrices, Examples and Counterexamples, vol. 3 (2023) 100102.
54. D. Bród, A. Szynal-Liana, I. Włoch, One-parameter generalization of dual-hyperbolic Jacobsthal numbers, Annales Mathematicae Silesianae 37, no. 2, (2023), 224-239.
55. D. Bród, A. Szynal-Liana, A new hybrid generalization of Fibonacci and Fibonacci-Narayana polynomials, Annales UMCS, sectio A, vol. LXXVII, no. 1 (2023), 1-12.
56. D. Bród, A. Szynal-Liana, On generalized bihyperbolic Mersenne numbers, Mathematica Bohemica 149, No.1 (2024), 75-85.
57. D. Bród, On Some Combinatorial Properties of Balancing Split Quaternions, Symmetry 2024, 16, 373.
58. D. Bród, A. Szynal-Liana, I. Włoch, On a new generalization of Pell hybrid numbers, Annales Mathematicae Silesianae 38 (2024), no. 2, 221-240.
59. D. Bród, M. Rubajczyk, A. Szynal-Liana, A new hybrid generalization of balancing polynomials, Symmetry 2024 16(10), 1397.
60. D. Bród, A. Szynal-Liana, On some combinatorial properties of generalized commutative Pell and Pell-Lucas quaternions, Kragujevac Journal of Mathematics 49(6) (2025), 889-897 (w druku).
61. D. Bród, A. Szynal-Liana, I. Włoch, On generalized commutative Jacobsthal quaternions, Kragujevac Journal of Mathematics 50(5) (2026), 787-799 (w druku).
62. D. Bród, A. Szynal-Liana, Bihyperbolic numbers of the Fibonacci type as tridiagonal matrix determinants, Boletim da Sociedade Paranaense de Matematica (w druku).
63. D. Bród, A. Szynal-Liana, On Mersenne numbers and their bihyperbolic generalizations, Annales Mathematicae Silesianae (w druku).
