University of Isfahan Transactions on Combinatorics 2251-8657 11 3 2022 09 01 A directed graph associated with a $T_0$-quasi-metric space 237 254 26320 10.22108/toc.2022.129171.1864 EN Hans-Peter A. Künzi The Department of Mathematics and Applied Mathematics , University of Cape Town - South Africa Filiz Yıldız Department of Mathematics, Faculty of Science, Hacettepe University, Beytepe -Ankara Journal Article 2021 06 24 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. $T_0$-quasi-metric space symmetry graph asymmetric norm Directed graph strong connectedness https://toc.ui.ac.ir/article_26320_9921472db3c7a6dcc9a0c7d3b748d8f3.pdf