| International Journal of Nonlinear Analysis and Applications | ||
| Article 27, Volume 14, Issue 4, January 0, Pages 349-358 PDF (507.45 K) | ||
| DOI: 10.22075/ijnaa.2022.6473 | ||
| Receive Date: 16 February 2022, Revise Date: 20 March 2022, Accept Date: 27 April 2022 | ||
| References | ||
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[1] M.A. Abdlhusein, New approach in graph domination, Ph. D. Thesis, University of Baghdad, Iraq, 2020. [2] M.A. Abdlhusein, Doubly connected bi-domination in graphs, Discrete Math. Algor. Appl. 13 (2021), no. 2, 2150009. [3] M.A. Abdlhusein, Stability of inverse pitchfork domination, Int. J. Nonlinear Anal. Appl. 12 (2021), no. 1, 1009– 1016. [4] M.A. Abdlhusein, Applying the (1, 2)-pitchfork domination and its inverse on some special graphs, Bol. Soc. Paran. Mat. Accepted to appear, (2022). [5] M.A. Abdlhusein and M.N. Al-Harere, Total pitchfork domination and its inverse in graphs, Discrete Math. Algor. Appl. 13 (2021), no. 4, 2150038. [6] M.A. Abdlhusein and M.N. Al-Harere, New parameter of inverse domination in graphs, Indian J. Pure Appl. Math. 52 (2021), no. 1, 281–288. [7] M.A. Abdlhusein and M.N. Al-Harere, Doubly connected pitchfork domination and it’s inverse in graphs, TWMS J. App. and Eng. Math. 12 (2022), no. 1, 82-–91. [8] M.A. Abdlhusein and M.N. Al-Harere, Pitchfork domination and it’s inverse for corona and join operations in graphs, Proc. Int. Math. Sci. 1 (2019), no. 2, 51–55. [9] M.A. Abdlhusein and M.N. Al-Harere, Pitchfork domination and its inverse for complement graphs, Proc. Inst. Appl. Math. 9 (2020), no. 1, 13–17. [10] M.A. Abdlhusein and M.N. Al-Harere, Some modified types of pitchfork domination and its inverse, Bol. Soc. Paran. Math. 40 (2022), 1–9. [11] M. A. Abdlhusein and Z. H. Abdulhasan, Modified types of triple effect domination, reprinted, 2022. [12] M.A. Abdlhusein and S.J. Radhi, The arrow edge domination in graphs, Int. J. Nonlinear Anal. Appl. 13 (2022), no. 2, 591–597. [13] Z.H. Abdulhasan and M.A. Abdlhusein, Triple effect domination in graphs, AIP Conf. Proc. 2386 (2022), 060013. [14] Z.H. Abdulhasan and M.A. Abdlhusein, An inverse triple effect domination in graphs, Int. J. Nonlinear Anal. Appl. 12 (2021), no. 2, 913–919. [15] M.N. Al-Harere and M.A. Abdlhusein, Pitchfork domination in graphs, Discrete Math. Algor. Appl. 12 (2020), no. 2, 2050025. [16] L.K. Alzaki, M.A. Abdlhusein and A.K. Yousif, Stability of (1, 2)-total pitchfork domination, Int. J. Nonlinear Anal. Appl. 12 (2021), no. 2, 265–274. [17] F. Harary, Graph theory, Addison-Wesley, Reading, MA, 1969. [18] T.W. Haynes, S.T. Hedetniemi and P.J. Slater, Fundamentals of domination in graphs, Marcel Dekker, Inc. New York, 1998. [19] T.W. Haynes, S.T. Hedetniemi and P.J. Slater, Domination in graphs-advanced topics, Marcel Dekker, Inc., 1998. [20] T.W. Haynes, M.A. Henning, and P. Zhang, A survey of stratified domination in graphs, Discrete Math. 309 (2009), 5806–5819. [21] M.K. Idan and M.A. Abdlhusein,Some properties of discrete topological graph, IOP Conf. Proc. accepted to appear, 2022. [22] Z.N. Jweir and M.A. Abdlhusein, Appling some dominating parameters on the topological graph, IOP Conf. Proc. accepted to appear, (2022). [23] Z.N. Jweir and M.A. Abdlhusein, Some dominating results of the topological graph, Int. J. Nonlinear Anal. Appl. In press (2022) 10.22075/ijnaa.2022.6404. [24] Z.N. Jweir and M.A. Abdlhusein, Constructing new topological graph with several properties, reprinted, 2022. | ||
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