Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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ON ve-DEGREE BASED AMPLIFIED ECCENTRIC CONNECTIVITY INDEX OF GRAPHS

Authors

  • H. M. Latharani
  • D. Soner Nandappa

Keywords:

ve-degree, distance, amplified eccentric connectivity index

DOI:

https://doi.org/10.17654/0974165825030

Abstract

Let $G = (V, E)$ be a graph with vertex set $V(G)$ and edge set $E(G)$. In this paper, we consider a simple, undirected and connected graph and introduce the ve-degree amplified eccentric connectivity index of some graphs.

Received: March 1, 2025
Accepted: May 1, 2025

References

M. Chellali, T. W. Haynes, S. T. Hedetniemi and T. M. Lewis, On ve-degrees and ev-degrees in graphs, Discrete Mathematics 340(2) (2017), 31-38.

F. Harary, Graph Theory, Addition-Wesley, Reading, MA, 1969.

A. Ilic, Eccentric connectivity index, Novel Molecular Structure Descriptors-Theory and Application II 9 (2010), 139-168.

V. Mathad, H. N. Sujatha and S. Puneeth, Amplified eccentric connectivity index of graphs, TWMS J. App. and Eng. Math. 12(4) (2022), 1469-1479.

V. Sharma, R. Goswami and A. K. Madan, Eccentric connectivity index: a novel highly discriminating topological descriptor for structure-property and structure-activity studies, J. Chem. Inf. Comput. Sci. 37 (1997), 273-282.

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Published

2025-06-10

Issue

Vol. 42 No. 5 (2025)

Section

Articles

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How to Cite

ON ve-DEGREE BASED AMPLIFIED ECCENTRIC CONNECTIVITY INDEX OF GRAPHS. (2025). Advances and Applications in Discrete Mathematics, 42(5), 465-469. https://doi.org/10.17654/0974165825030

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