Combined Edges Systems and C-space
Abstract
The combined edges systems, which are the work’s central idea, are used to introduce and investigate the C-space in this paper. We introduce the crucial and necessary stepping stone for the concepts of c-derived graphs, c-closed graphs, and c-closure.
References
Kh. Sh. Al’Dzhabri, A. Hamza and Y. S. Eissa, On DG-topological spaces associated with directed graphs, Journal of Discrete Mathematical Sciences & Cryptography 23(5) (2020), 1039-1046. https://doi.org/10.1080/09720529.2020.1714886
Kh. Sh. Al’Dzhabri and M. F. H. Al’murshidy, On certain types of topological spaces associated with digraphs, Journal of Physics: Conference Series 1591 (2020), 012055. https://doi.org/10.1088/1742-6596/1591/1/012055
Kh. Sh. Al’Dzhabri, A. A. Omran and M. N. Al-Harere, DG-domination topology in digraph, Journal of Prime Research in Mathematics 17(2) (2021), 93-100.
Kh. Sh. Al’Dzhabri, Enumeration of connected components of acyclic digraph, Journal of Discrete Mathematical Sciences and Cryptography 24(7) (2021), 2047-2058. https://doi.org/10.1080/09720529.2021.1965299
S. P. Subbaih, A study of graph theory: topology, steiner domination and semigraph concepts, Ph.D. thesis, Madurai Kamaraj University, India, 2007.
K. Karunakaran, Topics in graph theory-topological approach, Ph.D. thesis, University of Kerala, India, 2007.
U. Thomas, A study on topological set-indexers of graphs, Ph.D. thesis, Mahatma Gandhi University, India, 2013.
M. Shokry, Generating topology on graphs operations on graphs, Applied Mathematical Science 9(54) (2015), 2843-2857. https://doi.org/10.12988/ams.2015.5154
A. A. Jabor and A. A. Omran, Topological domination in graph theory, AIP Conference Proceedings 2334 (2021), 020010. https://doi.org/10.1063/5.0042840
T. N. Majumdar, A uniform topological structure on a graph and its properties, Ph.D thesis, India, 1983.
Jesper M. Møller, General Topology, Authors’ Notes, 2007.
S. Zhao and E. C. C. Tsang, On fuzzy approximation operators in attribute reduction with fuzzy rough sets, Inform. Sci. 178 (2008), 3163-3176. https://doi.org/10.1016/j.ins.2008.03.022
S. Zhang, F. Chen, Z. Jin and R. Wang, Mining class-bridge rules based on rough sets, Expert Systems with Applications 36 (2009), 6453-6460. https://doi.org/10.1016/j.eswa.2008.07.044
This work is licensed under a Creative Commons Attribution 4.0 International License.
.jpg){kind=logo}
