Results 11 to 20 of about 4,883,509 (244)

Second Atom-Bond Connectivity Index of Special Chemical Molecular Structures [PDF]

Journal of Chemistry, 2014
In theoretical chemistry, the second atom-bond connectivity index was introduced to measure the stability of alkanes and the strain energy of cycloalkanes.
Wei Gao, Weifan Wang
doaj   +2 more sources

Atom-bond connectivity index and diameter of graphs

Journal of Hebei University of Science and Technology, 2016
For further study of the numerous nice properties of topological indices in physical and chemical fields, it is worth considering the relation between a degree-based index and a distance-based index.
Lin WU, Yumei HU
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On tricyclic graphs with maximum atom–bond sum–connectivity index

Heliyon
The sum-connectivity, Randić, and atom-bond connectivity indices have a prominent place among those topological indices that depend on the graph's vertex degrees.
Sadia Noureen, Rimsha Batool, Abeer M. Albalahi, Yilun Shang, Tariq Alraqad, Akbar Ali   +5 more
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Further Properties of Trees with Minimal Atom-Bond Connectivity Index

Abstract and Applied Analysis, 2014
Let G=(V,E) be a graph the atom-bond connectivity (ABC) index is defined as the sum of weights ((du+dv-2)/dudv)1/2 over all edges uv of G, where du denotes the degree of a vertex u of G. In this paper, we determined a few structural features of the trees
Jianping Liu, Jinsong Chen
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On the maximum atom-bond sum-connectivity index of graphs [PDF]

Open Mathematics
The atom-bond sum-connectivity (ABS) index of a graph GG with edges e1,…,em{e}_{1},\ldots ,{e}_{m} is the sum of the numbers 1−2(dei+2)−1\sqrt{1-2{\left({d}_{{e}_{i}}+2)}^{-1}} over 1≤i≤m1\le i\le m, where dei{d}_{{e}_{i}} is the number of edges adjacent
Alraqad Tariq, Saber Hicham, Ali Akbar, Albalahi Abeer M.   +3 more
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On the maximum atom-bond sum-connectivity index of molecular trees

AKCE International Journal of Graphs and Combinatorics
Let G be a graph with V(G) and E(G), as vertex set and edge set, respectively. The atom-bond sum-connectivity (ABS) index is a vertex-based topological index which is defined as [Formula: see text] where [Formula: see text] is the degree of the vertex a.
Zhonglin Cheng, Akbar Jahanbani, Jun Wang   +2 more
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Atom–bond connectivity index of graphs: a review over extremal results and bounds [PDF]

Discrete Mathematics Letters, 2021
The atom–bond connectivity (ABC) index was introduced in the last quarter of the 1990s to improve the prediction power of the Randić index. Later on, in 2008, the factor √2 was dropped from the original definition of the ABC index, and some additional ...
Akbar Ali, Kinkar Ch. Das, Darko Dimitrov, Boris Furtula   +3 more
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ATOM BOND CONNECTIVITY E-BANHATTI INDICES

, 2023
In this paper, we introduce the atom bond connectivity E-Banhatti index and the sum atom bond connectivity E-Banhatti index of a graph. Also we compute these newly defined atom bond connectivity E-Banhatti indices for wheel graphs, friendship graphs ...
V.R.Kulli
core   +1 more source

Topological Indices of Certain Transformed Chemical Structures

Journal of Chemistry, 2020
Topological indices like generalized Randić index, augmented Zagreb index, geometric arithmetic index, harmonic index, product connectivity index, general sum-connectivity index, and atom-bond connectivity index are employed to calculate the bioactivity ...
Xuewu Zuo, Jia-Bao Liu, Hifza Iqbal, Kashif Ali, Syed Tahir Raza Rizvi   +4 more
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Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph

Journal of Chemistry, 2021
A measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them.
Muhammad Asad Ali, Muhammad Shoaib Sardar, Imran Siddique, Dalal Alrowaili   +3 more
doaj   +1 more source