k-PRIME TOTAL LABELING OF SHELL RELATED GRAPHS
In this paper, we discuss k-prime total labeling of shell, uniform shell-butterfly and shell-flower graphs.
vertex k-prime labeling, edge vertex prime labeling, k-prime total labeling, shell graphs, uniform shell-butterfly graphs, shell-flower graphs.
Received: February 10, 2023; Accepted: April 14, 2023; Published: May 9, 2023
How to cite this article: S. Teresa Arockiamary and G. Vijayalakshmi, k-prime total labeling of shell related graphs, Advances and Applications in Discrete Mathematics 39(1) (2023), 1-27. http://dx.doi.org/10.17654/0974165823033
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] J. Baskar Babujee and R. Jagadesh, On edge vertex prime labeling, Int. J. Pure Appl. Math. 114(6) (2017), 209-218.[2] P. Deb and N. B. Limaye, On harmonious labeling of some cycle related graphs, Ars Combin. 65 (2002), 177-197.[3] J. A. Gallian, A dynamic survey of graph labeling, Electron. J. Combin. (2022), #DS6.[4] 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.[5] J. Jeba Jesintha and K. Ezhilarasi Hilda, Shell butterfly graphs are graceful, Int. J. Pure Appl. Math. 101(5) (2015), 949-956.[6] 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.[7] J. Jeba Jesintha and K. Ezhilarasi Hilda, Shell-butterfly graphs are harmonious, Advances and Applications in Discrete Mathematics 14(1) (2014), 39-50.[8] J. Jeba Jesintha and K. Ezhilarasi Hilda, -labeling of paths and shell-butterfly graphs, Int. J. Pure Appl. Math. 101(5) (2015), 645-653.[9] S. Dhanalakshmi, Mean square cordial labeling of a shell-butterfly graph, Int. J. Math. Comput. Sci. 15(4) (2020), 1235 1242.[10] 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.[11] 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.