### Topological Structures via Graph Ideals

#### Abstract

#### Full Text:

PDF#### References

Anderson, S. S., & Chartrand, G. (1967). The Lattice-graph of the Topology of a Transitive Directed Graph. Mathematica Scandinavica, 21(1967), 105-109.

Amiri, S. M., Jafarzadeh, A., & Khatibzadeh, H. (2013). An Alexandroff Topology on Graphs. Bulletin of Iranian Mathematical Society, 39(2013), 647-662.

Bondy, J. A., Murthy, U. S. R. (2008). Graph Theory. Graduate Texts in Mathematics. Springer, Berlin.

Chartrand, G., Lesniak, L., & Zhang, P. (2016). Textbooks in Mathematics (Graphs and Digraphs). Sixth Edition. Taylor and Francis Group LLC.

Evans, J. W., Harary, F., & Lynn, M. S. (1967). On the Computer Enumeration of Finite Topologies. Commu. Assoc. Comp. Mach, 10(1967), 295-298.

Munkres, J. R. (2006). Topology. Second Edition. Pearson Education, Inc.

Jankovic, D., & Hamlett, T. R. (1990). New Topologies from old via Ideals. Amer. Math Monthly, 97(1990), 295-310.

Kilicman, A., & Abdulkalek, K. (2018). Topological Spaces Associated with Simple Graphs. Journal of Mathematical Analysis, 9(4) (2018), 44-52.

Kuratowski, K. (1933). Topology. I. Warszawa.

Kuratowski, K. (1966). Topology. Vol. I. Academic Press, New York.

Lalithambigai, K., & Gnanachandra, P. (2022). Topologies Induced by Graph Grills on Vertex Set of Graphs. Neuroquantology, 20(19) (2022), 426-435.

Lalithambigai, K., & Gnanachandra, P. (2023). Topologies Induced on Vertex Set of Graphs. Mapana-Journal of Sciences, 22(1) (2023), 33-50.

Marijuan, C. (2010). Finite Topology and Digraphs. Proyecciones, 29(2010), 291-307.

Njastad, O. (1966). Remarks on topologies defined by local properties. Avh. Norske Vid. Akad Oslo I(N.S), 8(1966), 1-16.

Nada, S., El Atik, A. E. F., & Atef, M. (2018). New Types of Topological Structures via Graphs. Mathematical Methods in the Applied Sciences, 2018(2018), 1-10.

Vaidyanathaswamy, R. (1960). Set Topology. Chelsea Publishing Company.

Vaidyanathaswamy, R. (1945). The Localization Theory in Set-topology. Proc. Indian. Acad. Sci. 20(1945), 51-61.

DOI: http://dx.doi.org/10.23755/rm.v48i0.956

### Refbacks

- There are currently no refbacks.

Copyright (c) 2023 Lalitha Ambigai

This work is licensed under a Creative Commons Attribution 4.0 International License.

Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.