Edge Total Mean Labeling of Graphs

Authors

  • DR. A. SUDHA Assistant Professor, Department of Mathematics, Wavoo Wajeeha women’s College of Arts and Science, Kayalpatnam - 628204, Tamil Nadu, India. Author

DOI:

https://doi.org/10.64137/3108-2637/IJMAR-V1I2P101

Keywords:

Mean labeling, Total labeling, Total mean labeling, Edge total mean labeling, Cycle, Wheel, Helm, Closed helm, Double wheel, Fan, Double fan, Gear, Sun, flower graphs

Abstract

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

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[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.

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[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.

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Published

2025-10-22

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Section

Articles

How to Cite

Edge Total Mean Labeling of Graphs. (2025). International Journal of Mathematical Analysis and Research, 1(2), 1-9. https://doi.org/10.64137/3108-2637/IJMAR-V1I2P101