Total tension as a topological index

Authors

DOI:

https://doi.org/10.5269/bspm.76463

Abstract

In this article, we see the total tension of a graph as a topological index and establish a relation between total tension index and total stress of a graph. We deduce that a graph is complete if and only if its total tension and the number of geodesics in it are equal. We also deduce that the total tension of an n-vertex connected proper subgraph of a complete graph Kn with n >= 3 vertices is greater than the total tension of Kn. We obtain a formula for computing total tension of a tree. Further, a QSPR analysis has been carried to demonstrate that total tension index can be used as a predictive measure for physical properties of lower alkanes. Linear regression models involving total tension index have been presented for some physical properties of lower alkanes.

Author Biographies

  • Prajna Seetharam Rai, JSS Science and Technology University, Mysuru-570 006

    Department of Mathematics,

    Research Scholar

  • K. N. Jayalakshmi , Field Marshal K. M. Cariappa College, Madikeri-571202

    Department of Mathematics,

    Lecturer

     

  • R. Rajendra, Field Marshal K. M. Cariappa College, Madikeri-571202

    Department of Mathematics,

    Professor of Mathematics

  • P. Siva Kota Reddy, JSS Science and Technology University, Mysuru-570 006

    Department of Mathematics,

    Professor of Mathematics

  • B. M. Chandrashekara, Government First Grade College, Bapujinagar, Shivamogga.-577201

    Department of Mathematics.

    Associate Professor of Mathematics

References

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Published

2025-07-03

Issue

Vol. 43 (2025)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

How to Cite

Rai, P. S., Jayalakshmi , K. N., R, R., Reddy, P. S. K., & B. M., C. (2025). Total tension as a topological index. Boletim Da Sociedade Paranaense De Matemática, 43, 1-11. https://doi.org/10.5269/bspm.76463
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