Journal papers

In press 

61. Abel Cabrera-Martínez. Total outer-independent domination in regular graphs. Filomat. To appear.

60. Abel Cabrera-Martínez, M. Dettlaff, M. Lemanska, J.A. Rodríguez-Velázquez. Restrained differential of a graph,  Discussiones Mathematicae Graph Theory. In press.

59. Abel Cabrera Martínez, F.A. Hernández Mira, J.M. Sigarreta, I.G. Yero. A note on total co-independent domination in trees, Contributions to Discrete Mathematics. To appear. 

58. Abel Cabrera Martínez, J.M. Rueda-Vázquez, J. Segarra. Closed formulas for 2-domination and 2-outer-independent domination numbers of rooted product graphs, Indian Journal of Pure and Applied Mathematics. In press. 

2024

57. Abel Cabrera Martínez, I. Ríos Villamar, J.M. Rueda-Vázquez, J.M. Sigarreta. Double total domination in the generalized lexicographic product of graphs, Quaestiones Mathematicae (2024) 47(3), 689-703.

56. Abel Cabrera Martínez, J.L. Sánchez, J.M. Sigarreta Almira. On the total domination number of total graphs,  Discussiones Mathematicae Graph Theory (2024) 44, 933-951.

55. Abel Cabrera Martínez, J.M. Rueda-Vázquez, J. Segarra. New bounds for three outer-independent domination-related parameters in cactus graphs. Axioms (2024) 13, 177.

54. Abel Cabrera Martínez. An improved upper bound on the domination number of a tree,  Discrete Applied Mathematics (2024) 343, 44-48.

53. Abel Cabrera Martínez, JM. Rueda-Vázquez. Closed formulas for the independent (Roman) domination number of rooted product graphs,  Mediterranean Journal of Mathematics. (2024) 21, 24.

2023

52. Abel Cabrera Martínez. A new lower bound for the independent domination number of a tree, RAIRO - Operations Research (2023) 57, 1951-1956.

51. Abel Cabrera Martínez, A. Estrada-Moreno. Double domination in rooted product graphs,  Discrete Applied Mathematics (2023) 339, 127-135.

50. Abel Cabrera Martínez, A. Conchado Peiró. Relating the super domination and 2-domination numbers in cactus graphs, Open Mathematics. (2023) 21, 20220583.

49.  Abel Cabrera Martínez, L.P. Montejano, J.A. Rodríguez Velázquez. From w-domination in graphs to domination parameters in lexicographic product graphs. Bulletin of the Malaysian Mathematical Sciences Society.  (2023) 46, 109.

48. Abel Cabrera Martínez, F.A. Hernández Mira. Further results on the independent Roman domination number of graphs,  Quaestiones Mathematicae. (2023) 46 (2), 347-357.

47. I. Ríos Villamar, Abel Cabrera Martínez, J.L. Sánchez, J.M. Sigarreta. Relating the total {2}-domination number with the total domination number of graphs,  Discrete Applied Mathematics. (2023) 333, 90-95.

46. Abel Cabrera Martínez, A. Conchado Peiró, JM. Rueda-Vázquez. Further results on the total Italian domination number of trees,  Aims Mathematics. (2023) 8(5), 10654-10664.

2022

45.   Abel Cabrera Martínez. Some new results on the k-tuple domination number of graphs, RAIRO - Operations Research. (2022) 56, 3491-3497.

44.   Abel Cabrera Martínez.  A note on the k-tuple domination number of graphs.  Ars Mathematica Contemporanea. (2022) 22, # P4.03.

43. Abel Cabrera Martínez, J.A. Rodríguez-Velázquez. Total protection of lexicographic product graphs,  Discussiones Mathematicae Graph Theory. (2022) 42(3), 967-984.

42. Abel Cabrera Martínez. A note on outer-independent 2-rainbow domination in graphs. Mathematics (2022) 10(13), 2287.

41.    Abel Cabrera Martínez, S. Cabrera García, I. Peterin, I.G. Yero. The total co-independent domination number of some graph operations, Revista de la Unión Matemática Argentina.  (2022) 63(1), 153-168.

40.  Abel Cabrera Martínez, D. Kuziak, I.G. Yero. Relating the outer-independent total Roman domination number with some classical parameters of graphs,  Mediterranean Journal of Mathematics. (2022) 19, 144.

39.  Abel Cabrera Martínez, C. García-Gómez, J.A. Rodríguez-Velázquez. Perfect domination, Roman domination and perfect Roman domination in lexicographic product graphs. Fundamenta Informaticae. (2022) 185(3), 201-220.

38. Abel Cabrera Martínez. New bounds on the double domination number of trees,  Discrete Applied Mathematics. (2022) 315, 97-103.

37.  Abel Cabrera Martínez, J.A. Rodríguez-Velázquez. On the perfect differential of a graph, Quaestiones Mathematicae. (2022) 45(3), 327-345.

36. Abel Cabrera Martínez, A. Conchado Peiró. On the {2}-domination number in graphs,  Aims Mathematics. (2022) 7(6), 10731-10743.

35. Abel Cabrera Martínez,  A. Estrada-Moreno, J.A. Rodríguez-Velázquez.  From Italian domination in lexicographic product graphs to w-domination in graphs. Ars Mathematica Contemporanea.  (2022) 22, # P1.04.

34.  Abel Cabrera Martínez, F.A. Hernández Mira. New bounds on the double total domination number of graphs. Bulletin of the Malaysian Mathematical Sciences Society.  (2022) 45, 443-453.

2021

33.   Abel Cabrera Martínez. Starred Italian domination in graphs.  Contributions to Discrete Mathematics. (2021) 16(3), 139-152.

32.  Abel Cabrera Martínez. Double outer-independent domination number of graphs. Quaestiones Mathematicae. (2021) 44(12), 1835-1850.

31. Abel Cabrera Martínez, J.C. Hernández-Gómez, J.M. Sigarreta, On the quasi-total Roman domination number of graphs. Mathematics (2021) 9(21), 2823.

30. Abel Cabrera Martínez, J.A. Rodríguez-Velázquez. Closed formulas for the total Roman domination number of lexicographic product graphs.  Ars Mathematica Contemporanea (2021) 20, 233-241.

29.  Abel Cabrera Martínez,  A. Estrada-Moreno, J.A. Rodríguez-Velázquez.  From (secure) w-domination in graphs to protection of lexicographic product graphs.  Bulletin of the Malaysian Mathematical Sciences Society (2021) 44, 3747-3765.

28. Abel Cabrera Martínez, J.A. Rodríguez-Velázquez. From the strong differential to Italian domination in graphs. Mediterranean Journal of Mathematics (2021) 18, 228.

27.  Abel Cabrera Martínez, I. Peterin, I.G. Yero.  Roman domination in direct product graphs and rooted product graphs. AIMS Mathematics (2021)  6(10), 11084-11096. 

26. A. Almerich-Chulia, Abel Cabrera Martínez,  F.A. Hernández Mira, P. Martin-Concepción. From total Roman domination in lexicographic product graphs to strongly total Roman domination in graphs.  Symmetry (2021) 13, 1282.

25. Abel Cabrera Martínez, M. L. Puertas, J.A. Rodríguez-Velázquez. On the 2-packing differential of a graph. Results in  Mathematics (2021) 76, 157. 

24. Abel Cabrera Martínez,  A. Estrada-Moreno, J.A. Rodríguez-Velázquez. From the quasi-total strong differential to quasi-total Italian domination in graphs. Symmetry (2021) 13, 1036. 

23. Abel Cabrera Martínez, J.A. Rodríguez-Velázquez. A note on double domination in graphs. Discrete Applied Mathematics. (2021) 300, 107-111.

22. S. Cabrera García, Abel Cabrera Martínez,  F.A. Hernández Mira, I.G. Yero. Total Roman {2}-domination in graphs, Quaestiones Mathematicae (2021) 44(3), 411-434.

21. Abel Cabrera Martínez, I. Peterin, I.G. Yero. Independent transversal total domination versus total domination in trees, Discuss. Math. Graph Theory (2021) 41, 213-224.

20.  Abel Cabrera Martínez, D. Kuziak, I.G. Yero. A constructive characterization of vertex cover Roman trees, Discuss. Math. Graph Theory (2021) 41, 267-283.

19. Abel Cabrera Martínez, A. Martínez Arias, M. Menendez Castillo. A characterization relating domination, semitotal domination and total Roman domination in trees.  Communications in Combinatorics and Optimization (2021) 6(2), 197-209.

2020

18. Abel Cabrera Martínez,  A. Estrada-Moreno, J.A. Rodríguez-Velázquez.  Secure w-domination in graphs. Symmetry (2020) 12(12), 1948.

17.  Abel Cabrera Martínez, J.A. Rodríguez-Velázquez.  Total domination in rooted product graphs. Symmetry (2020) 12(11), 1929.

16.    Abel Cabrera Martínez, S. Cabrera García, A. Carrión García, A.M. Grisales del Rio. On the outer-independent Roman domination in graphs. Symmetry (2020) 12(11), 1846.

15.   Abel Cabrera Martínez, S. Cabrera García, A. Carrión García, F.A. Hernández Mira. Total Roman domination number of rooted product graphs, Mathematics (2020) 8(10), 1850.

14.   Abel Cabrera Martínez, D. Kuziak, I. Peterin, I.G. Yero, Dominating the direct product of two graphs through total Roman strategies, Mathematics (2020) 8(9), 1438.

13.   Abel Cabrera Martínez, I.G. Yero. Constructive characterizations concerning weak Roman domination in trees, Discrete Applied Mathematics (2020) 284, 384–390. 

12.   Abel Cabrera Martínez, S. Cabrera García, J.A. Rodríguez-Velázquez. Double domination in lexicographic product graphs, Discrete Applied Mathematics. (2020) 284, 290–300.

11.   Abel Cabrera Martínez, A. Estrada-Moreno, J.A. Rodríguez-Velázquez. Secure total domination in rooted product graphs, Mathematics  (2020) 8(4), 600.

10.  Abel Cabrera Martínez, S. Cabrera García, A. Carrión García. Further results on the total Roman domination in graphs, Mathematics (2020) 8(3), 349.

 9.   Abel Cabrera Martínez, J.C. Hernández-Gómez, E. Parra-Inza, J.M. Sigarreta, On the total outer k-independent domination number of graphs, Mathematics (2020) 8(2), 194.

2019

 8. Abel Cabrera Martínez, L.P. Montejano,  J.A. Rodríguez-Velázquez. On the secure total domination number of graphs, Symmetry (2019) 11(9), 1165 (Correction: Cabrera Martínez et al. On the secure total domination number of graphs. Symmetry 2019, 11, 1165. Symmetry (2021) 13(9), 1668)

 7.  S. Cabrera García, Abel Cabrera Martínez, I.G. Yero. Quasi-total Roman domination in graphs, Results in Mathematics (2019) 74(4), 173.

 6.  Abel Cabrera Martínez, L.P. Montejano,  J.A. Rodríguez-Velázquez. Total weak Roman domination in graphs, Symmetry (2019) 11(6), 831. 

 5.   Abel Cabrera Martínez, D. Kuziak, I.G. Yero. Outer-independent total Roman domination in graphs, Discrete Applied Mathematics  (2019) 269, 107-119.

 4.   S. Bermudo, Abel Cabrera Martínez, F.A. Hernández Mira, J.M. Sigarreta. On the global total k-domination number of graphs, Discrete Applied Mathematics (2019) 263, 42-50.

 3.   Abel Cabrera Martínez, F.A. Hernández Mira, J.M. Sigarreta Almira, I.G. Yero. On computational and combinatorial properties of the total co-independent domination number of graphs, The Computer Journal (2019)  62 (1), 97-108.

 2.   Abel Cabrera Martínez, I.G. Yero. A characterization of trees with equal Roman {2}-domination and Roman domination numbers, Communications in Combinatorics and Optimization (2019) 4 (2), 95-107.

2017

 1.   Abel Cabrera Martínez, J.M. Sigarreta Almira, I.G. Yero. On the independent transversal total domination number of graphs, Discrete Applied Mathematics (2017) 219,  65-73.