Topology via Graph Ideals

Authors

  • P. Gnanchandra Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Am- mal College, Sivakasi (affiliated to Madurai Kamaraj University, Madurai), India;
  • K. Lalithambigai Sri kaliswari College, Sivakasi

DOI:

https://doi.org/10.23755/rm.v48i0.956

Abstract

The study of ideal topological space has started since 1933 and till date it is being developed by several mathematicians. Various classes of open sets, different types of operators and exploration of elementary topological results in ideal topological spaces have been discussed in various research papers. Methods of generating topologies using various relations have been explored by many researchers. Many researchers explored the methods of inducing topologies via graphs. This paper, introduces the notions of graph ideals, graph local function and characterizes some of their properties. It also describes a method of generating a new graph topology on the vertex set of a graph from the graph adjacency topology using Kuratowski closure operator and depicts the nature of open sets with respect to the new topology. Further, it explores the condition for compatibility of the graph adjacency topology with graph ideal.

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Published

2023-12-30

Issue

Vol. 48 (2023)

Section

Volume 48-2023

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