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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ON RADIO $k$-CHROMATIC NUMBER OF A HELM GRAPH

Authors

  • J. Kalaiselvi
  • D. Vijayalakshmi

Keywords:

radio $k$-coloring, radio $k$-chromatic number, Helm graph, middle graph, central graph, line graph, jump graph

DOI:

https://doi.org/10.17654/0974165825006

Abstract

In this paper, we obtain the exact value of the radio $k$-chromatic number of a helm graph  and also those of the middle graph, central graph, line graph and jump graph of a helm graph.

Received: June 2, 2024
Revised: August 9, 2024
Accepted: November 6, 2024

References

Jorrold R. Griggs and Roer Yeh, Labelling graphs with a condition at distance 2, SIAM J. Discrete Math. 5(4) (1992), 586-595.

F. Harary, Graph Theory, Addison-Wesley, Reading MA, 1969.

R. Kalfakakou, G. Nikolakopulou, E. Savvidou and M. Tsouros, Graph radio coloring concepts, Yugosl. J. Oper. Res. 13(2) (2003), 207 215.

Gary Chartrand and Ping Zhang, Radio colorings of graphs - a survey, International Journal of Computational and Applied Mathematics 2(3) (2007), 237-252.

Kalaiselvi Jaganathan, Vijayalakshmi Duraisamy, Mohanapriya Nagaraj and Aparna Venkitachalam, On radio coloring of bistar graph families, AIP Conf. Proc. 2718(1) (2023), 020011. doi:10.1063/5.0137300.

D. Vijayalakshmi and K. Thilagavathi, b-coloring in the context of some graph operations, International Journal of Mathematical Archive 3(34) (2021), 1439-1442.

N. Mohanapriya, Vivin J. Vernold and M. Venkatachalam, On dynamic coloring of fan graphs, Int. J. Pure Appl. Math. 106(8) (2016), 169-174.

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Published

2024-11-25

Issue

Vol. 42 No. 1 (2025)

Section

Articles

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How to Cite

ON RADIO $k$-CHROMATIC NUMBER OF A HELM GRAPH. (2024). Advances and Applications in Discrete Mathematics, 42(1), 79-88. https://doi.org/10.17654/0974165825006

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