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Some applications of independent compatible edges topology | ||
International Journal of Nonlinear Analysis and Applications | ||
دوره 12، شماره 2، بهمن 2021، صفحه 1641-1652 اصل مقاله (1.01 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5293 | ||
نویسندگان | ||
Asmhan Flieh Hassan* ؛ Zainab Redha Ruzoqi Zainy | ||
Department of Mathematics, faculty of education for girls, University of Kufa, Iraq. | ||
تاریخ دریافت: 12 فروردین 1400، تاریخ بازنگری: 27 اردیبهشت 1400، تاریخ پذیرش: 17 خرداد 1400 | ||
چکیده | ||
In this article some applications of independent compatible edges topology τICE on directed graphs are introduced. This application includes some aspects. Firstly, medical applications such as voluntary movement of the muscle, work of heart, and pathway involving with neural sensation and motor response. Secondly, vital applications such as world wide web and operational problems recovery in airlines. | ||
کلیدواژهها | ||
Directed graph؛ Topology؛ Independent compatible edges topology؛ Applications | ||
مراجع | ||
[1] K.A. Abdu and A. Kilicman, Topologies on the edges set of directed graphs, International Journal of Mathematical Analysis, 122, 2018, 71-84. [2] T. N. Bhargava and T. J. Ahlborn, On topological spaces associated with digraphs, Acta Mathematica Academiae Scientiarum Hungaricae, 19, 1968, 47-52. [3] M. Bierlaire, N. Eggenberg and M. Salani, Column generation methods for disrupted airline schedules, TRANSPOR laborator Ecole Polytechnique Fed erale de,2007. [4] R. Diestel, Graph Theory, 4th ed., Graduate Texts in Mathematics, Springer-Verlag, 173, 2010. [5] D. Easley and J. Kleinberg, Networks, Crowds and Markets: Reasoning about a Highly Connected World, Cambridge University Press, 2010.[6] A. Flieh Hassan and Z. Redha Ruzoqi, Properties of Independent Compatible Edges Topology on Directed Graphs, submitted. [7] A. Flieh Hassan and Z. Redha Ruzoqi, The Independent Compatible Edges Topology of Directed Graphs, submitted. [8] J. L. Gross and J. Yellen, Handbook of Graph Theory, Discrete Mathematics and Its Applications, CRC Press, 25, 2003. [9] J. Gross and T. Tucker, Topological graph theory, Wiley-Inter science Series in discrete Mathematics and Optimization, Wiley & Sons, New York, 1987. [10] J. E. Hall and M. E. Hall, AuthorGuyton and Hall Textbook of Medical Physiology, (Guyton Physiology) 14th Edition, 2020. [11] R. N. Lieberman, Topologies on Directed Graphs, Technical Reports Server TR-214, University of Maryland, 1972. [12] C. Marijuan, Finite topology and digraphs, Proyecciones Antofagasta, 29, 2010, 291-307. [13] S. S. Ray, Graph Theory with Algorithms and its Applications, In Applied Sciences and Technology, Springer, New Delhi, 2013. [14] M. Shokry and R. E. Aly, Topological Properties on Graph VS Medical Application in Human Heart, International Journal of Applied Mathematics, Vol. 15, 2013, 1103-1109. [15] B. M. R. Stadler and P. F. Stadler, Generalized topological spaces in evolutionary theory and combinatorial chemistry, Journal of Chemical Information and Computer Sciences, 2002, 577-585. [16] J. R. Stallings, Topology of finite graphs, Invent. math. 71, 1983, 551-565. | ||
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