Eccentric Degree Connectivity Index of Graphs


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Authors

  • Veena Mathad Department of Studies in Mathematics, University of Mysore, Mysuru, Karnataka, India
  • Patil Manjula Department of Mathematics, Government Frist Grade College, Dharwad, Karnataka, India
  • R. Meghana Department of Studies in Mathematics, University of Mysore, Mysuru, Karnataka, India

Keywords:

Eccentricity, Eccentric Degree, Eccentric degree connectivity index

Abstract

In this paper, a novel eccentric degree based topological index termed as eccentric degree connectivity index is conceptualized. For a connected graph $G$ with a vertex set $V$, the eccentric degree connectivity index denoted by $\xi^{ed}$ is defined as $\xi^{ed}=\displaystyle\sum_{v\in V}ed(v)e(v)$. We obtain it's value for some classes of graphs and graph operations namely, join, corona, corona join, $r-$crown graph of fan graph and $r-$crown graph of wheel graph. We also derive some upper and lower bounds.

Author Biography

Veena Mathad, Department of Studies in Mathematics, University of Mysore, Mysuru, Karnataka, India

Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru.

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Published

25-01-2025

How to Cite

Veena Mathad, Patil Manjula, & R. Meghana. (2025). Eccentric Degree Connectivity Index of Graphs. International Journal of Mathematics And Its Applications, 13(4), 127–135. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1635

Issue

Vol. 13 No. 4 (2025)

Section

Research Article

License

Copyright (c) 2026 International Journal of Mathematics And its Applications

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