Outtopological Digraph Space and Some Related Properties

  • Hussein A. Neamah Department of Mathematics, University of Al-Qadisiyah, College of Education, Al Diwaniyah, Iraq
  • Khalid Sh. Al’Dzhabri Department of Mathematics, University of Al-Qadisiyah, College of Education, Al Diwaniyah, Iraq
Keywords: digraph, topology, Alexandroff topology, incident edges system

Abstract

The outtopological digraph space, a novel topological constraint imposed by a subbasis, is introduced in this work. A subbasis $\overleftarrow{\textrm{I}}^{\alpha}_{\underset{\cdot}{e}}$ is a set contains one vertex such that the edge ẹ is outdegree of it. As a result, various theorems have been established. A characterization and some examples are provided to describe this new structure.

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Published
2023-01-11
How to Cite
Neamah, H. A., & Al’Dzhabri, K. S. (2023). Outtopological Digraph Space and Some Related Properties. Earthline Journal of Mathematical Sciences, 11(2), 361-373. https://doi.org/10.34198/ejms.11223.361373
Section
Articles