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A directed graph associated with a $T_0$-quasi-metric space | ||
| Transactions on Combinatorics | ||
| مقاله 6، دوره 11، شماره 3، آذر 2022، صفحه 237-254 اصل مقاله (488.78 K) | ||
| نوع مقاله: Workshop on Graphs, Topology and Topological Groups, Cape Town, South Africa | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2022.129171.1864 | ||
| نویسندگان | ||
Hans-Peter A. Künzi1؛ Filiz Yıldız  2
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| 1The Department of Mathematics and Applied Mathematics , University of Cape Town - South Africa | ||
| 2Department of Mathematics, Faculty of Science, Hacettepe University, Beytepe -Ankara | ||
| چکیده | ||
| Given a $T_0$-quasi-metric space we associate a directed graph with it and study some properties of the related directed graph. The present work complements and refines earlier work in the field in which the symmetry graph of a $T_0$-quasi-metric space was studied. | ||
| کلیدواژه‌ها | ||
| $T_0$-quasi-metric space؛ symmetry graph؛ asymmetric norm؛ directed graph؛ strong connectedness | ||
| مراجع | ||
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[1] J. A. Bondy and U. S. R. Murty, Graph Theory with Applications, North-Holland, New York, Fifth Printing, 1982.
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[4] J. Ferrer, V. Gregori and C. Alegre, Quasi-uniform structures in linear lattices, Rocky Mountain J. Math., 23 no. 5 (1993) 877–884. [5] E. Kemajou, H.-P. A K¨unzi and O. O. Otafudu, The Isbell-hull of a di-space, Topology Appl., 159 (2012) 2463–2475.
[6] H. -P. A. K¨unzi and V. Vajner, Weighted quasi-metrics, Ann. New York Acad. Sci., 728 (1994) 64–77.
[7] N. Javanshir and F. Yıldız, Symmetrically connected and antisymmetrically connected T0-quasi-metric extensions, Topology Appl., 276 (2020) 18 pp. [8] I. L. Reilly and M. K. Vamanamurthy, On oriented metric spaces, Math. Slovaca, 34 no. 3 (1984) 299–305.
[9] F. M. Solofomananirina Tiantsoa and H. -P. A. K¨unzi, Splitting ultra-metrics by T0-ultra-quasi-metrics, Topology Appl., 240 (2018) 21–34. [10] F. Yıldız and H.-P.A. K¨unzi, Symmetric connectedness in T0-quasi-metric spaces, Bull. Belgian Math Soc., 26 no. 5 (2019) 659–679. | ||
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آمار تعداد مشاهده مقاله: 59 تعداد دریافت فایل اصل مقاله: 42 |
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