Antimagic Labeling for Some Snake Graphs
DOI:
https://doi.org/10.22199/issn.0717-6279-6005Keywords:
Antimagic labeling, Antimagic graph, Snake graphAbstract
A graph with q edges is called antimagic if its edges can be labeled with 1, 2, 3, ..., q without repetition such that the sums of the labels of the edges incident to each vertex are distinct. In this paper we study antimagic labeling of double triangular snake, alternate triangular snake, double alternate triangular snake, quadrilateral snake, double quadrilateral snake, alternate quadrilateral snake, double alternate quadrilateral snake.
References
H. U. Afzal, A. Alamer, and M. Javaid, "Computing Antimagic Labeling of Lattically Designed Symmetric Network," IEEE Access, vol.10, pp. 32394-32405, Mar. 2022.
J. A. Gallian, "A Dynamic Survey of Graph Labeling," The Electronics Journal of Combinatorics, Dec. 2022.
J. Clark and D. A. Holton, A first look at Graph Theory. Singapore: World Scientific, 2005.
N. Hartsfield and G. Ringel, Pearls in Graph Theory. Boston: Academic Press, 1990.
L. Rylands, O. Phanalasy, J. Ryan, M. Miller, and S. Arumugam, "Construction for antimagic generalized web graphs," AKCE International Journal of Graphs and Combinatorics, vol. 8, no. 2, pp. 141-149, 2011.
N. Alon, G. Kaplan, A. Lev, Y. Roditty, and R. Yuster, "Dense graphs are antimagic," Journal of Graph Theory, vol. 47, no. 4, pp. 297-309, 2004.
N. Sridharan and R. Umarani, "Antimagic Labeling of graphs," International Journal of Engineering Science, Advanced Computing and Bio-Technology, vol. 3, no. 1, pp. 23-41, Mar. 2012.
P. M. Kayll, J. McNulty, and J. Mihalisin, "Magic square and antimagic graphs," Bulletin of the Institute of Combinatorics and its Applications, vol. 58, pp. 83-93, 2010.
S. K. Vaidya and N. B. Vyas, "Antimagic Labeling in the Context of Switching of a vertex," Annals of pure and Applied Mathematics, vol. 2, no. 1, pp. 33-39, Dec. 2012.
S. K. Vaidya and N. B. Vyas, "Antimagic Labeling of Some Path and Cycle Related Graphs," Annals of pure and Applied Mathematics, vol. 3, no. 2, pp. 119-128, Jul. 2013.
Y. C. Liang, T. L. Wong, and X. Zhu, "Anti-magic labeling of trees," Discrete Mathematics, vol. 331, pp. 9-14, 2014.
Published
How to Cite
Issue
Section
Copyright (c) 2024 Chirag Barasara, Palak Prajapati
This work is licensed under a Creative Commons Attribution 4.0 International License.
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.