Vol. 23 No. 4 (2024): Upcoming Articles
Research Articles

Separation Axioms Associated With Simple Digraphs and Topological Spaces

  • Eswari,
  • V. Sutha Devi ,
  • R. Sundareswaran
Eswari
Research Scholar, Department of Mathematics, Ayya Nadar Janaki Ammal College, Sivakasi.
V. Sutha Devi
Ayya Nadar Janaki Ammal College, Sivakasi-626124, Tamil Nadu, India.
R. Sundareswaran
Sri Sivasubramaniya Nadar College of Engineering, Kalavakkam, Chennai-603110, Tamil Nadu, India.

Published 2025-01-06

Keywords

  • \mathcal{F}_{\vec{\mathcal{G}}}- set, \mathfrak{T}_{\vec{\mathcal{G}}}- set, \mathcal{N}_{\vec{\mathcal{G}}}- set.

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Abstract

The main idea of this article is to define a fuzzy crisp set, intuitionistic crisp set and neutrosophic crisp set from simple digraphs. These sets have their own impact to generate the subbasis which in turn yields topological spaces. Moreover, an attempt has been made to extend our concept in induced subgraphs that lead us to relative topology. We have also formalized the structural equivalence of the isomorphic graphs and the topologies induced by them. A comparison between topologies has been made for some types of connected digraphs. Also, we have defined separation axioms on digraphs and related them to the topological separation axioms.

 

 

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