Duplication of some graph elements and absolute mean graceful labeling

H. P. Chudasama; V. J. Kaneria

doi:https://doi.org/10.14445/22315373/IJMTT-V65I4P520

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 4 | Year 2019 | Article Id. IJMTT-V65I4P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I4P520

Duplication of some graph elements and absolute mean graceful labeling

H. P. Chudasama , V. J. Kaneria

Abstract

In the present paper, we derived absolute mean graceful labeling for some graphs obtained by duplication of graph elements in complete bipartite graph Km;n, cycle Cn, path Pn and swastik graph Swn.

Keywords

Duplication of a vertex by vertex, duplication of a vertex by edge, duplication of edge by a vertex, α - absolute mean graceful graph, swastik graph.

References

[1] A. Rosa, On Certain Valuation of Graph Theory of Graphs (Rome July 1966), Goden and Breach, N. Y. and Paris, 1967, pp. 349-355.
[2] V. J. Kaneria and H. P. Chudasama, Absolute mean graceful labeling in various graphs, Int. J. of Mathematics and its applications, Vol. 5, No. 4-E (2017), pp. 723-726.
[3] V. J. Kaneria and H. P. Chudasama, Graceful Labeling in the Context of Duplication of Some Graph Elements in Km;n, Int. J. of Mathematics and its applications, Vol. 5, 2017, pp. 53-55.
[4] V. J. Kaneria and H. M. Makadia, Graceful Labeling for Swastik Graph, Int. J. of Mathematics and its applications, Vol. 3, No. 3-D (2015), pp. 25-29.
[5] J. A. Gallian, A Dynamic Survey of Graph Labeling, The Electronics Journal of Combinatorics, 18(2015), ] DS6.
[6] F. Harary, Graph Theory, Narosa Publishing House, New Delhi, 2001. ISSN: 2231-5373

Citation :

H. P. Chudasama , V. J. Kaneria, "Duplication of some graph elements and absolute mean graceful labeling," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 4, pp. 107-115, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I4P520