Tension on an edge in a graph

Abstract

In this paper we introduce the concept of tension on an edge in a graph. The tension on an edge in a graph is the number of geodesics passing through it. We investigate some results and characterizations involving tensions on edges in graphs.

Downloads

Download data is not yet available.

References

Atici, M., On The Edge Geodetic Number Of A Graph, International Journal of Computer Mathematics 80(7), 853-861, ( DOI: https://doi.org/10.1080/0020716031000103376

Bhargava, K., Dattatreya, N. N., Rajendra, R., On Stress of a Vertex in a Graph, to appear in Palestine Journal of Mathematics.

Chartrand, G., Harary, F., & Zhang, P., On the geodetic number of a graph, Networks 39(1), 1-6, (2001). DOI: https://doi.org/10.1002/net.10007

Harary, F., Graph Theory, Addison Wesley, Reading, Mass, (1972).

Harary, F., Loukakis, E., & Tsouros, C., The geodetic number of a graph, Mathematical and Computer Modelling 17(11), 89-95, (1993). DOI: https://doi.org/10.1016/0895-7177(93)90259-2

Published
2022-12-23
Section
Articles