Research Article
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On the Sensitivity of Graph Energy Types

Year 2026, Issue: 54 , 68 - 79 , 30.03.2026
https://doi.org/10.53570/jnt.1899903
https://izlik.org/JA95TB42ZU

Abstract

Topological indices, also known as molecular descriptors, are an indispensable tool for quantitative structure property/activity relationships models, which play a significant role in drug design processes. Randic presented the properties that a topological index must possess in chemical graph theory to be considered a good molecular descriptor. Among the prominent properties is the fact that a topological index should change gradually with a gradual change in structures. An effective and widely accepted method for measuring this feature was first proposed by Furtula et al., based on graph edit distance. This method was later improved by Rakic and Furtula drawing on the $z$-score associated with the Tanimoto index. This paper performs a comparative analysis of the structure sensitivity and abruptness values of graph energy types, based on fourteen different topological indices, using these two methods.

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There are 35 citations in total.

Details

Primary Language English
Subjects Numerical and Computational Mathematics (Other)
Journal Section Research Article
Authors

Mert Sinan Oz 0000-0002-6206-0362

Submission Date February 28, 2026
Acceptance Date March 30, 2026
Publication Date March 30, 2026
DOI https://doi.org/10.53570/jnt.1899903
IZ https://izlik.org/JA95TB42ZU
Published in Issue Year 2026 Issue: 54

Cite

APA Oz, M. S. (2026). On the Sensitivity of Graph Energy Types. Journal of New Theory, 54, 68-79. https://doi.org/10.53570/jnt.1899903
AMA 1.Oz MS. On the Sensitivity of Graph Energy Types. JNT. 2026;(54):68-79. doi:10.53570/jnt.1899903
Chicago Oz, Mert Sinan. 2026. “On the Sensitivity of Graph Energy Types”. Journal of New Theory, nos. 54: 68-79. https://doi.org/10.53570/jnt.1899903.
EndNote Oz MS (March 1, 2026) On the Sensitivity of Graph Energy Types. Journal of New Theory 54 68–79.
IEEE [1]M. S. Oz, “On the Sensitivity of Graph Energy Types”, JNT, no. 54, pp. 68–79, Mar. 2026, doi: 10.53570/jnt.1899903.
ISNAD Oz, Mert Sinan. “On the Sensitivity of Graph Energy Types”. Journal of New Theory. 54 (March 1, 2026): 68-79. https://doi.org/10.53570/jnt.1899903.
JAMA 1.Oz MS. On the Sensitivity of Graph Energy Types. JNT. 2026;:68–79.
MLA Oz, Mert Sinan. “On the Sensitivity of Graph Energy Types”. Journal of New Theory, no. 54, Mar. 2026, pp. 68-79, doi:10.53570/jnt.1899903.
Vancouver 1.Mert Sinan Oz. On the Sensitivity of Graph Energy Types. JNT. 2026 Mar. 1;(54):68-79. doi:10.53570/jnt.1899903

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