On the Difference of Atom-Bond Sum-Connectivity and Atom-Bond-Connectivity Indices

被引：7

作者：

Ali, Akbar ^{[1
]}

Gutman, Ivan ^{[2
]}

Redzepovic, Izudin ^{[3
]}

Mazorodze, Jaya Percival ^{[4
]}

Albalahi, Abeer M. ^{[1
]}

Hamza, Amjad E. ^{[1
]}

机构：

[1] Univ Hail, Coll Sci, Dept Math, Hail, Saudi Arabia

[2] Univ Kragujevac, Fac Sci, Kragujevac, Serbia

[3] State Univ Novi Pazar, Dept Nat Sci & Math, Novi Pazar, Serbia

[4] Univ Zimbabwe, Dept Math, Harare, Zimbabwe

来源：

MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY | 2024年 / 91卷 / 03期

关键词：

D O I：

10.46793/match.91-3.725A

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

The atom-bond connectivity (ABC) index is one of the well-investigated degree-based topological indices. The atom-bond sum-connectivity (ABS) index is a modified version of the ABC index, which was introduced recently. The primary goal of the present paper is to investigate the difference between the aforementioned two indices, namely ABS - ABC. It is shown that the difference ABS - ABC is positive for all graphs of minimum degree at least 2 as well as for all line graphs of those graphs of order at least 5 that are different from the path and cycle graphs. By means of computer search, the difference ABS - ABC is also calculated for all trees of order at most 15.

引用

页码：725 / 740

页数：16

共 29 条

[11] A solution of the conjecture about big vertices of minimal-ABC trees
Dimitrov, Darko
Du, Zhibin
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2021, 397
[12] Estrada E, 1998, INDIAN J CHEM A, V37, P849
[13] Augmented Zagreb index
Furtula, Boris
Graovac, Ante
Vukicevic, Damir
[J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2010, 48 (02) : 370 - 380
[14] On the Graovac-Ghorbani and Atom-Bond Connectivity Indices of Graphs from Primary Subgraphs
Ghanbari, Nima
[J]. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2022, 13 (01): : 45 - 72
[15] Gowtham K. J., 2022, Bull. Cl. Sci. Math. Nat. Sci. Math, V47, P55
[16] Gutman I, 2012, INDIAN J CHEM A, V51, P690
[17] Harary F., 1969, Graph Theory
[18] The evolution of the structure of ABC-minimal trees
Hosseini, Seyyed Aliasghar
Mohar, Bojan
Ahmadi, Mohammad Bagher
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 2022, 152 : 415 - 452
[19] Hu Y., MATCH Commun. Math. Comput. Chem.
[20] Investigation of Atom-Bond Connectivity Indices of Line Graphs Using Subdivision Approach
Husin, Mohamad Nazri
Zafar, Sohail
Gobithaasan, R. U.
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022

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