# Diametral Paths in Total Graphs of Paths, Cycles and Stars

• ## Authors

• T. A. Mangam
• J. V. Kureethara
2018-10-02
• Diametral path, Path, Cycle, Star, Diameter, Total graph
• The diametral path of a graph is the shortest path between two vertices which has length equal to diameter of that graph. Total graph of a graph is a graph that has vertices representing all vertices and edges of the original graph and edges representing every vertex-vertex adjacency, edge-edge adjacency and edge-vertex incidence. In this paper, the number of diametral paths is determined for the paths, cycles and stars and their total graphs.

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• ## References

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[4] Mangam TA & Kureethara JV (2017), Diametral Paths in Total Graphs, International Journal of Pure Applied Mathematics 117, 12, 273-280.

[5] Mangam TA & Kureethara JV (2017), Diametral Paths in Total Graphs of Complete Graphs, Complete Bipartite Graphs and Wheels, International Journal of Civil Engineering and Technology 8, 5, 1212-1219.

[6] Ore O (1968), Diameters in Graphs, Journal of Combinatorial Theory, 5, 1, 75-81.

• ## How to Cite

A. Mangam, T., & V. Kureethara, J. (2018). Diametral Paths in Total Graphs of Paths, Cycles and Stars. International Journal of Engineering & Technology, 7(4.10), 580-581. https://doi.org/10.14419/ijet.v7i4.10.21286