Results 1 to 10 of about 4,883,559 (264)

The first multiplication atom-bond connectivity index of molecular structures in drugs [PDF]

Saudi Pharmaceutical Journal, 2017
In the field of medicine, there are a large number of new drugs synthesis every year. Before entering the clinical stage, it needs a lot of work on drug testing of the various properties.
Wei Gao, Yiqiao Wang, Weifan Wang, Li Shi   +3 more
doaj   +5 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   +6 more sources

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
doaj   +7 more sources

The Atom-Bond Connectivity Index of Catacondensed Polyomino Graphs [PDF]

Discrete Dynamics in Nature and Society, 2013
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.
Jinsong Chen, Jianping Liu, Qiaoliang Li
doaj   +5 more sources

Atom-bond sum-connectivity index [PDF]

Journal of Mathematical Chemistry, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akbar Ali, Ivan Gutman, Boris Furtula
exaly   +4 more sources

Atom–bond connectivity index of trees [PDF]

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. Chemical trees with the extremal ABC values are found. In addition, it has been proven that among all trees, the star tree, Sn,
Boris Furtula, Damir Vukicevic, Ante Graovac   +2 more
exaly   +5 more sources

On Atom-Bond Connectivity Index

Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 2011
The atom-bond connectivity index (ABC) is a vertex-degree based graph invariant, put forward in the 1990s, having applications in chemistry. Let G = (V,E) be a graph, di the degree of its vertex i, and ij the edge connecting the vertices i and j. Then ABC = ?ij?E ?(di+dj?2)/(didj).
Bo Zhou, Rundan Xing
exaly   +7 more sources

General Atom-Bond Sum-Connectivity Index of Graphs

Mathematics, 2023
This paper is concerned with the general atom-bond sum-connectivity index ABSγ, which is a generalization of the recently proposed atom-bond sum-connectivity index, where γ is any real number.
Abeer M. Albalahi, Emina Milovanović, Akbar Ali   +2 more
doaj   +4 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   +4 more sources

Remarks on Multiplicative Atom-Bond Connectivity Index [PDF]

IEEE Access, 2019
The atom-bond connectivity (ABC) index is one of the most actively studied degree-based graph invariants that are found in a vast variety of chemical applications.
Riste Skrekovski, Darko Dimitrov, Jiemei Zhong, Hualong Wu, Wei Gao   +4 more
doaj   +3 more sources