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The greatest values for atom-bond sum-connectivity index of graphs with given parameters

Discrete Applied Mathematics
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Fengwei Li, Qingfang Ye, Huajing Lu
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On trees of a fixed maximum degree with extremal general atom-bond sum-connectivity index

Journal of Applied Mathematics and Computing
We consider general atom-bond sum-connectivity indices $ABS_l(G)$ for $1/2 \leq l \leq 1$ and study their values over all trees on a given number of vertices with a fixed maximum degree $\Delta $. We obtain both the minimum and the maximum values and characterize the corresponding trees.
Akbar Ali, Tomislav Došlić, Zahid Raza
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Extremal values of the atom-bond sum-connectivity index in bicyclic graphs

Journal of Applied Mathematics and Computing, 2023
Kannan Aarthi   +3 more
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On the Maximum Atom-Bond Sum-Connectivity Index of Trees

MATCH – Communications in Mathematical and in Computer Chemistry, 2023
Topological indices have been under study since 1947 when H. Wiener proposed a mathematical formula to order the boiling temperatures of isomers of alkanes. Since then, over 3000 similar mathematical formulae have been defined and studied by mathematicians, chemists and by other scientists.
Hu, Yarong, Wang, Fangxia
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On the atom-bond sum-connectivity index of chemical graphs

Journal of Molecular Structure
Xuewu Zuo   +2 more
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Multiplicative Atom Bond Sum Connectivity Index of Certain Nanotubes

Annals of Pure and Applied Mathematics, 2023
We put forward the multiplicative atom bond sum connectivity index of a graph. We determine the atom bond sum connectivity index and the multiplicative atom bond sum connectivity index for some chemical nanostructures such as armchair polyhex nanotubes, zigzag polyhex nanotubes and carbon nanocone networks.
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A Variant of Atom Bond Sum Connectivity Index

Match Communications in Mathematical and in Computer Chemistry
Summary: Topological index is a numerical graph invariant derived from molecular graph. The atom bond sum connectivity index drew a lot of interest from chemical graph theorists in a short period of time. Nowadays, the degree sum of a vertex's first neighbors is recognized as a useful parameter in chemical graph theory. Keeping these two facts in mind,
Yasin H, Mohammed   +2 more
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