Results 11 to 20 of about 3,593 (248)

Atom-bond sum-connectivity index [PDF]

Journal of Mathematical Chemistry, 2022
Akbar Ali is partially supported by Scientific Research Deanship, University of Ha’il, Saudi Arabia, through Project Numbers RG-22 002 and RG-22 005. Boris Furtula and Izudin Redžepović gratefully acknowledge financial support of the Serbian Ministry of ...
Akbar Ali, Boris Furtula, Izudin Redžepović   +2 more
exaly   +2 more sources

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
doaj   +2 more sources

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
doaj   +2 more sources

Atom–bond connectivity index of trees

Discrete Applied Mathematics, 2009
The recently introduced atom–bond connectivity (ABC) index has been applied up to now to study the stability of alkanes and the strain energy of cycloalkanes. Here, mathematical properties of the ABC index of trees are studied.
Boris Furtula, Ante Graovac, Damir Vukicevic   +2 more
exaly   +2 more sources

Atom-bond connectivity index of graphs

Discrete Applied Mathematics, 2010
The recently introduced atom-bond connectivity (ABC) index has been applied up until now to study the stability of alkanes and the strain energy of cycloalkanes. Furtula et al.
Kinkar Ch Das
exaly   +2 more sources

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
doaj   +2 more sources

On the maximum atom-bond sum-connectivity index of graphs

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
doaj   +3 more sources

On the Exponential Atom-Bond Connectivity Index of Graphs

Mathematics
Several topological indices are possibly the most widely applied graph-based molecular structure descriptors in chemistry and pharmacology. The capacity of topological indices to discriminate is a crucial component of their study.
Kinkar Chandra Das
doaj   +2 more sources

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
doaj   +2 more sources