@article{Adamenko_Velichko_2008, title={Classification of topologies on finite sets using graphs}, volume={60}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3215}, abstractNote={With the use of digraphs, topologies on finite sets are studied. On this basis, a new classification of such topologies is proposed. Some properties of <i>T</i><sub>0</sub>-topologies on finite sets are proved. In particular, it is proved that, in <i>T</i><sub>0</sub>-topologies, there exist open sets containing arbitrary number of elements that does not exceed the cardinality of the set itself.}, number={7}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Adamenko, N. P. and Velichko, I. G.}, year={2008}, month={Jul.}, pages={992–996} }