Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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$T_0$ GRAPHS

Authors

  • A. R. Latheeshkumar

Keywords:

total domination, transformation graphs

DOI:

https://doi.org/10.17654/0974165825014

Abstract

We employ the concept of total domination to introduce a new separation axiom called $T_0$ axiom in simple graphs. The $T_0$ axiom in graphs introduced in this paper is analogous to the $T_0$ axiom in topology. This paper provides an in-depth study of the $T_0$ property in transformation graphs $G^{xyz}$.

Received: November 27, 2024
Accepted: December 17, 2024

References

R. Balakrishnan and K. Ranganathan, A Textbook of Graph Theory, Springer Science & Business Media, 2012.

G. Chartrand and P. Zhang, Introduction to Graph Theory, Tata McGraw-Hill Edition, 2006.

M. A. Henning and A. Yeo, Total Domination in Graphs, Springer, 2013.

A. R. Latheeshkumar and V. Anil Kumar, Total domination polynomials of some graphs, Journal of Pure and Applied Mathematics: Advances and Applications 16 (2016), 97-108.

V. Seena and R. Pilakkat, Hausdorff graph, British Journal of Mathematics and Computer Science 12(1) (2016), 1-12.

B. Wu, L. Zhang and Z. Zhang, The transformation graph when Discrete Mathematics 296 (2005), 263-270.

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Published

2025-01-02

Issue

Vol. 42 No. 3 (2025)

Section

Articles

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Copyright (c) 2025 PUSHPA PUBLISHING HOUSE, PRAYAGRAJ, INDIA

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How to Cite

$T_0$ GRAPHS. (2025). Advances and Applications in Discrete Mathematics, 42(3), 205-217. https://doi.org/10.17654/0974165825014

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