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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$k$-PRIME TOTAL LABELING OF SHELL RELATED GRAPHS

Authors

  • S. Teresa Arockiamary
  • G. Vijayalakshmi

Keywords:

vertex $k$-prime labeling, edge vertex prime labeling, $k$-prime total labeling, shell graphs, uniform shell-butterfly graphs, shell-flower graphs.

DOI:

https://doi.org/10.17654/0974165823033

Abstract

In this paper, we discuss $k$-prime total labeling of shell, uniform shell-butterfly and shell-flower graphs.

Received: February 10, 2023;
Accepted: April 14, 2023;

References

J. Baskar Babujee and R. Jagadesh, On edge vertex prime labeling, Int. J. Pure Appl. Math. 114(6) (2017), 209-218.

P. Deb and N. B. Limaye, On harmonious labeling of some cycle related graphs, Ars Combin. 65 (2002), 177-197.

J. A. Gallian, A dynamic survey of graph labeling, Electron. J. Combin. (2022), #DS6.

J. Jeba Jesintha and K. Ezhilarasi Hilda, Graceful labeling of bow graphs and shell-flower graphs, International Journal of Computing Algorithm 2 (2013), 214 218.

J. Jeba Jesintha and K. Ezhilarasi Hilda, Shell butterfly graphs are graceful, Int. J. Pure Appl. Math. 101(5) (2015), 949-956.

J. Jeba Jesintha and K. Ezhilarasi Hilda, Double shell with two pendant edges at the apex are k-graceful, J. Combin. Math. Combin. Comput. 92 (2015), 47-57.

J. Jeba Jesintha and K. Ezhilarasi Hilda, Shell-butterfly graphs are harmonious, Advances and Applications in Discrete Mathematics 14(1) (2014), 39-50.

J. Jeba Jesintha and K. Ezhilarasi Hilda, -labeling of paths and shell-butterfly graphs, Int. J. Pure Appl. Math. 101(5) (2015), 645-653.

S. Dhanalakshmi, Mean square cordial labeling of a shell-butterfly graph, Int. J. Math. Comput. Sci. 15(4) (2020), 1235 1242.

S. Teresa Arockiamary and G. Vijayalakshmi, Vertex k-prime labeling on graphs, International Conference on Graphs, Combinatorics and Optimization, General Science Department, BITS Pilani, Dubai, 2022.

S. Teresa Arockiamary, J. Baskar Babujee and G. Vijayalakshmi, k-prime total labeling of graphs, Advances and Applications in Discrete Mathematics 35 (2022), 45-59.

Published

2023-05-09

Issue

Section

Articles

How to Cite

$k$-PRIME TOTAL LABELING OF SHELL RELATED GRAPHS. (2023). Advances and Applications in Discrete Mathematics, 39(1), 1-27. https://doi.org/10.17654/0974165823033

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