Results 11 to 20 of about 4,883,559 (264)

Atom-bond connectivity index of graphs [PDF]

Discrete Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kinkar Chandra Das
exaly   +5 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   +3 more sources

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

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   +5 more sources

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

Applied Mathematics Letters, 2012
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Chen, Jinson, Liu, Jianping, Guo, Xiaofeng   +2 more
exaly   +5 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

On atom–bond connectivity index of connected graphs

Discrete Applied Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bo Zhou, Fengming Dong, Rundan Xing
exaly   +3 more sources

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

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

Atom bond connectivity index for graph with self-loops and its application to structure property relationships in anticancer drugs [PDF]

Scientific Reports
Let $$G_S$$ be a graph derived from a simple graph G by adding a self-loop to each vertex in a subset $$S\subseteq V(G)$$ . In this paper, we define the atom bond connectivity index of the graph $$G_S$$ as $$ABC(G_S)$$ and the atom bond connectivity ...
B. Sharath, H. J. Gowtham
doaj   +2 more sources

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

Discrete Applied Mathematics, 2017
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Qing Cui, Lingping Zhong
exaly   +3 more sources