Radio even mean graceful labeling on some special graphs
Downloads
DOI:
https://doi.org/10.26637/MJM0804/0175Abstract
Radio Even Mean Graceful Labeling of a connected graph \(G\) is a bijection \(\phi\) from the vertex set \(V(G)\) to \(\{2,4,6, \ldots 2|V|\}\) satisfying the condition \(d(s, t)+\left\lceil\frac{\phi(s)+\phi(t)}{2}\right\rceil \geq 1+\operatorname{diam}(G)\) for every \(\mathrm{s}, \mathrm{t} \in \mathrm{V}(\mathrm{G})\). A graph which admits radio even mean graceful labeling is called radio even mean graceful graph. In this paper we investigate the radio even mean graceful labeling on degree splitting of some special graphs.
Keywords:
Radio mean graceful, degree splitting graphs, radio even mean graceful, labeling of graphsMathematics Subject Classification:
Mathematics- Pages: 2323-2328
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
Chartrand, Gray and Erwin, David and Zhang, Ping and Harary, Frank, Radio labeling of graphs, Bull. Inst. Combin. Appl., (2001), 77-85.
Brindha Mary V T, C. David Raj and C. Jayasekaran, Radio mean graceful labeling on splitting of wheel related graphs, Design Engineering, (Toronto), pp.16122-16131.
C. David Raj, M. Deva Saroja and Brindha Mary V T, Radio mean labeling on degree splitting of graphs, International Journal of Analytical and Experimental Modal Analysis, (2020), 1078-1082.
C. David Raj and Brindha Mary V T, Radio mean graceful labeling on degree splitting of cycle related graphs, Advances and Applications in Mathematical Sciences, Accepted for publication, 2020.
C. David Raj, K. Sunitha and A. Subramanian, Radio odd mean and even mean labeling of some graphs, International Journal of Mathematical Archive, 8(11)(2017), $109-115$.
J A Gallian, A dynamic survey of graph labeling, The Electronic Journal of Combinatories, 17 and DS7, 2014.
F. Harary, Graph Theory, Narosa Publishing house reading, New Delhi, 1988.
${ }^{[8]}$ Lavanya Y, Dhanyashree and K N Meera, Radio Mean Graceful Graphs, IOP Conf.Series: Journal of Physics, DOI: 10.1088/1742-6596/1172/1/012071, 2019. DOI: https://doi.org/10.1088/1742-6596/1172/1/012071
R Ponraj and S Somasundaram, EOn the degree splitting of a graph, Natl. Acad. Sci. Letter, 27(7-8)(2004), 275-278.
R Ponraj and S Sathish Narayanan and R Kala, Radio Mean labeling of a graph, International Journal of Graphs and Combinatorics, 129(2015), 224-228. DOI: https://doi.org/10.1016/j.akcej.2015.11.019
Rathod N B, Kanani K. K, k-Cordial labeling of triangular book, triangular book with book mark, and jewel graph, Global Journal of Pure and Applied Mathematics, 13(10)92017), 6979-6989.
Sampathkumar E and Walikar H B, On the splitting graph of a graph, J. Karnatak Uni Sci., 25(13)(1980), 1-10.
Somasundaram S and Ponraj R, Mean lableing of graphs, National Academy Science Letters, 26(2003), 210-213.
- NA
Similar Articles
- R.B. Thete, Arihant Jain, Analytical solution of linear Volterra integral equations of first and second kind by using Elzaki transform , Malaya Journal of Matematik: Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.