Results 11 to 20 of about 3,626 (270)

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. With the fact that diameter is an invariant based on distance, the relations between atom-bond connectivity index, diameter in trees and unicyclic graphs ...
Lin WU, Yumei HU
doaj   +4 more sources

Some upper bounds for the atom–bond connectivity index of graphs

Applied Mathematics Letters, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Jinson, Liu, Jianping, Guo, Xiaofeng   +2 more
exaly   +6 more sources

Further Properties of Trees with Minimal Atom-Bond Connectivity Index [PDF]

Abstract and Applied Analysis, 2014
LetG=(V,E)be a graph the atom-bond connectivity (ABC) index is defined as the sum of weights((du+dv-2)/dudv)1/2over all edgesuvofG, wheredudenotes the degree of a vertexuofG. In this paper, we determined a few structural features of the trees with minimal ABC index also we characterized the trees withdia[T]=2and minimal ABC index, where[T]is induced by
Liu, Jianping, Chen, Jinsong
doaj   +5 more sources

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

Open Mathematics
Abstract The atom-bond sum-connectivity (ABS) index of a graph G G with edges
Alraqad, Tariq, Saber, Hicham, Ali, Akbar, Albalahi, Abeer M.   +3 more
doaj   +6 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. In light of this, the literature has introduced the exponential vertex-degree-based topological index. The exponential atom-
Kinkar Chandra Das
doaj   +4 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   +4 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

Some inequalities for the atom-bond connectivity index of graph operations

Discrete Applied Mathematics, 2011
The atom-bond connectivity index is a useful topological index in studying the stability of alkanes and the strain energy of cycloalkanes. In this paper some inequalities for the atom-bond connectivity index of a series of graph operations are presented. We also prove our bounds are tight. As an application, the ABC indices of C4 nanotubes and nanotori
Gholam Hossein Fath-Tabar, B. Vaez-Zadeh, Ali Reza Ashrafi, Ante Graovac   +3 more
openaire   +2 more sources

Further results on atom-bond connectivity index of trees

Discrete Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rundan Xing, Bo Zhou 0007, Zhibin Du
openaire   +3 more sources

The maximum atom-bond connectivity index for graphs with edge-connectivity one

Discrete Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qing Cui, Qiuping Qian, Lingping Zhong
openaire   +3 more sources