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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 ![]() | ||
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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[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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