ODigraphic Topology On Directed Edges
DOI:
https://doi.org/10.29304/jqcm.2023.15.1.1169Keywords:
digraph, topology, Alexandroff topologyAbstract
In this paper, we study the odigraphic topology for a directed edges of a digraph. We give some properties of this topology, in particular we prove that is an Alexandroff topology and when two digraphs are isomorphic, their odigraphic topologies will be homeomorphic. We give some properties matching digraphs and homeomorphic topology spaces. Finally, we investigate the connectedness of this topology and some relations between the connectedness of the digraph and the topology .
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References
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[2] J. R. Munkres, Topology, Prentice- Hall, Inc., Englewood Cliffs, New Jersey, 1975.
[3] R. J. Wilson, Introduction to Graph Theory, Longman Malaysia, 1996.
[4] S.P. subbaih, A study of Graph Theory: Topology, Steiner Domination and Semigraph Concepts, Ph.D. thesis, Madurai Kamaraj University, India, 2007.
[5] K.Karunakaran, Topics in Graph Theory-Topological Approach, Ph.D. thesis, University of Kerata, India 2007
[6] U.Thomas, A study on Topological set-indexers of Graphs ph.D. thesis, Mahatma Gandhi university, India, 2013.
[7] M. Shorky, Generating Topology on Graphs by Operations on Graphs, Applied Mathematical Science, 9(54),PP 2843-2857, 2015.
[8] Kh. Sh Al,Dzhabri, A.M, Hamza and Y.S. Eissa, On DG-Topological spaces Associated with directed graphs, Journal of Discrete Mathematical Sciences and Cryptograph, 12(1): 60-71 DoI: 10.1080109720529.2020.1714886
[9] Kh. Sh Al,Dzhabri and M.F.Hani, On Certain Types of Topological spaces Associated with Digraphs, Journal of Physics: Conference Series 1591(2020)012055 doi:10.1088/1742-6596/1/012055
[10] Kh.Sh. Al’Dzhabri and et al, DG-domination topology in Digraph. Journal of Prime Research in Mathematics 2021, 17(2), 93–100. http://jprm.sms.edu.pk/
[11] Kh.Sh. Al’Dzhabri, Enumeration of connected components of acyclic digraph. Journal of Discrete Mathematical Sciences and Cryptography, 2021, 24(7), 2047–2058. DOI: 10.1080/09720529.2021.1965299
Maxwell, A Treatise on Electricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, (1892), pp.68-73.
[2] G. Eason, B. Noble, and I.N. Sneddon, “On certain integrals of Lipschitz-Hankel type involving products of Bessel functions,” Phil. Trans. Roy. Soc. London, vol. A247,( 1955), pp. 529-551.
[3] K. Elissa, “Title of paper if known,” unpublished.
[4] I.S. Jacobs and C.P. Bean, “Fine particles, thin films and exchange anisotropy,” in Magnetism, vol. III, G.T. Rado and H. Suhl, Eds. New York: Academic, (1963), pp. 271-350.
[5] R. Nicole, “Title of paper with only first word capitalized,” J. Name Stand. Abbrev., in press.
[6] Y. Yorozu, M. Hirano, K. Oka, and Y. Tagawa, “Electron spectroscopy studies on magneto-optical media and plastic substrate interface,” IEEE Transl. J. Magn. Japan, vol. 2, pp. 740-741, August 1987 [Digests 9th Annual Conf. Magnetics Japan,, (1982 ) p. 301,.
[7] M. Young, The Technical Writer’s Handbook. Mill Valley, CA: University Science, (1989).
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Published
2023-04-03
How to Cite
Neamah, H. A., & Al’Dzhabri, K. S. (2023). ODigraphic Topology On Directed Edges. Journal of Al-Qadisiyah for Computer Science and Mathematics, 15(1), Math Page 74–86. https://doi.org/10.29304/jqcm.2023.15.1.1169
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Math Articles
