پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 610 |
| تعداد مقالات | 9,028 |
| تعداد مشاهده مقاله | 67,082,885 |
| تعداد دریافت فایل اصل مقاله | 7,656,358 |
ING-induced topology from tritopological space on a locally finite graph | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 206، دوره 13، شماره 1، خرداد 2022، صفحه 2527-2533 اصل مقاله (388.62 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5954 | ||
| نویسندگان | ||
| Asmhan Flieh Hassan* 1؛ Sundus Najah Jabir1؛ Alaa Mohammed Redha Abdulhasan2 | ||
| 1Department of Mathematics, Faculty of Education for Girls, University of Kufa, Iraq | ||
| 2Department of Law, Faculty of Law, The Islamic University, 54001 Najaf, Iraq | ||
| تاریخ دریافت: 10 مهر 1400، تاریخ بازنگری: 20 آذر 1400، تاریخ پذیرش: 25 آذر 1400 | ||
| چکیده | ||
| The aim of this article is to associate a tritopological space with a locally finite graph, and induce a new type of topology from three well-known topologies on the same locally finite graph. These are the three tritopologies proposed recently to associate topological spaces with undirected graphs, the first (Independent Topology), the second is (Non-Incidence Topology) and the third is (Graphic Topology). Then some results and properties of these tritopological spaces and new induced topologies were investigated. Giving a fundamental step toward studying some properties of locally finite graphs by their corresponding tritopological spaces is our motivation. | ||
| کلیدواژه‌ها | ||
| locally finite graphs؛ Tritopological spaces؛ Independent Topology؛ Non-Incidence Topology؛ Graphic Topology | ||
| مراجع | ||
|
[1] S.M. Amiri, A. Jafarzadeh and H. Khatibzadeh, An Alexandroff topology on graphs, Bull. Iran. Math. Soc. 39(4) (2013) 647–662. [2] F.J. Arenas, Alexandroff spaces, Acta Math. Uni. Comenianae 68(1) (1999) 17–25. [3] R. Diestel, Graph Theory, 4th ed., Graduate Texts in Mathematics, Springer-Verlag, 2010. [4] J. Dugundji, Topology, Allyn and Bacon, Inc., Boston, 1966. [5] H.A. Flieh, An introduction to fuzzy soft tritopological spaces, Int. J. Fuzzy Math. Archive, 17(1) (2019) 41–49. [6] H.A. Flieh and Z.I. Abed, Independent (non-adjacent vertices) topological spaces associated with undirected graphs, with some applications in biomathematices, J. Phys.: Conf. Ser. 1591 (2020) 012096. [7] H.A. Flieh and A.M. Jafar, Non-incidence (non-end vertices) topological spaces associated with simple graphs, Solid State Technol. 64(1) (2021) 988–997. [8] J.L. Gross and T.W. Tucker, Topological Graph Theory, Wiley-Inter Science Series in discrete Mathematics and Optimization, Wiley & Sons, New York, 1987. [9] J.L. Gross and J. Yellen, Handbook of Graph Theory, Discrete Mathematics and Its Applications, CRC Press, 2003. [10] M. Kovar, On 3-topological version of theta-regularity, Int. J. Math. And Math. Sci. 23(6) (2000) 393–398. [11] S.S. Ray, Graph Theory with Algorithms and its Applications: In Applied Sciences and Technology, Springer, New Delhi, 2013. [12] M. Shokry and R.E. Aly, Topological properties on graph vs medical application in human heart, Int. J. Appl. Math. 15 (2013) 1103–1109. [13] B.M.R. Stadler and P.F. Stadler, Generalized topological spaces in evolutionary theory and combinatorial chemistry, J. Chem. Info. Comput. Sci. 42(3) (2002) 577–585. [14] J.R. Stallings, Topology of finite graphs, Invent. Math. 71 (1983) 551–565. | ||
|
آمار تعداد مشاهده مقاله: 15,877 تعداد دریافت فایل اصل مقاله: 391 |
||