Topological Structures on Vertex Set of Digraphs

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K. Lalithambigai
P. Gnanachandra


Relation on a set is a simple mathematical model to which many real-life data can be connected. A binary relation  on a set  can always be represented by a digraph. Topology on a set  can be generated by binary relations on the set . In this direction, the study will consider different classical categories of topological spaces whose topology is defined by the binary relations adjacency and reachability on the vertex set of a directed graph. This paper analyses some properties of these topologies and studies the properties of closure and interior of the vertex set of subgraphs of a digraph. Further, some applications of topology generated by digraphs in the study of biological systems are cited.


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Lalithambigai K, Gnanachandra P. Topological Structures on Vertex Set of Digraphs. Baghdad Sci.J [Internet]. 2023 Mar. 1 [cited 2023 Mar. 21];20(1(SI):0350. Available from:


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