Edge Total Mean Labeling of Graphs
DOI:
https://doi.org/10.64137/3108-2637/IJMAR-V1I2P101Keywords:
Mean labeling, Total labeling, Total mean labeling, Edge total mean labeling, Cycle, Wheel, Helm, Closed helm, Double wheel, Fan, Double fan, Gear, Sun, flower graphsAbstract
In this paper, we introduce a new labeling edge total mean labeling. An edge total mean labeling f: V ∪ E → {1, 2, ..., p + q} of a graph G = G(V, E) is a labeling of vertices and edges of a graph in such a way that for any two different edges uv and u' v' their mean and are distinct and the result in edge total means varies from 1,2,. . . ,q. A graph G is edge total mean graph if it admits edge total mean labeling. In this paper, we introduce a concept of edge total mean labeling of some graphs.
References
[1] Joseph A. Gallian, “A Dynamic Survey of Graph Labeling,” The Electronic Journal of Combinatorics, pp. 1-623, 2022.
[2] Frank Harary, Graph Theory, Addison-Wesley Publishing Company, Reading, Massachusetts; London, pp. 1-284, 1972.
[3] P. Jeyanthi and A. Sudha, “Total Edge Irregularity Strength of Wheel Related Graphs of Graph Labeling,” vol. 2, no. 1, pp. 45-57, 2015.
[4] P. Jeyanthi and A. Sudha, “On the total irregularity strength of some graphs,” Bulletin of the International Mathematical Virtual Institute, vol. 9, no. 2, pp. 393-401, 2019.
[5] P. Jeyanthi and A. Sudha, “Total Edge Irregularity Strength of Disjoint Union of Double Wheel Graphs,” Proyecciones Journal of Mathematics, vol. 35, no. 3, pp. 251-262, 2016.
[6] P.Jeyanthi and A. Sudha, “Total vertex irregularity strength of corona product of some graphs,” Journal of Algorithms and Computation, vol. 48, pp. 127-140, 2016.
[7] P. Jeyanthi and A. Sudha, “Total edge irregularity strength of some families of graphs,” Utilitas Mathematica, vol. 109, pp. 139-153, 2018.
[8] P. Jeyanthi and A. Sudha, “Some results on edge irregular total labeling,” Bulletin of the International Mathematical Virtual Institute, vol. 9, pp. 73-91, 2019.
[9] K. Karupasamy and S. Kaleeswari, “Total Mean labelings Graphs, International Journal of Recent Technology and Engineering (IJRTE),vol. 8, no. 4S4, pp. 90-92, 2019.
[10] S. Somasundaram and R. Ponraj, “Mean labelings of Graphs,” National Academy Science Letters, vol. 26, no. 7, pp. 210-213, 2003.
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