On atom–bond connectivity index of connected graphs
Discrete Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xing, Rundan, Zhou, Bo, Dong, Fengming
openaire +4 more sources
Maximal Unicyclic Graphs With Respect to New Atom-bond Connectivity Index
Acta Chimica Slovenica, 2013 The concept of atom-bond connectivity (ABC) index was introduced in the chemical graph theory in 1998. The atom-bond connectivity (ABC) index of a graph G defined as (see formula in text) where E(G) is the edge set and di is the degree of vertex v(i) of
Kinkar Ch. Das, Kexiang Xu, Ante Graovac
doaj +1 more source
Linear model based on neighborhood ABS index for graph energy in benzenoid hydrocarbons and maximum index cactus graphs [PDF]
Scientific ReportsThe atom-bond-sum (ABS) connectivity index, developed by integrating the degree information from the atom-bond and sum connectivity indices, has attracted significant attention for its effectiveness in correlating thermodynamic properties of chemical ...
Zheng-Qing Chu +3 more
doaj +2 more sources
On the maximum atom-bond sum-connectivity index of molecular trees [PDF]
AKCE International Journal of Graphs and CombinatoricsLet 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 +2 more
doaj +2 more sources
Atom bond connectivity index for graph with self-loops and its application to structure property relationships in anticancer drugs [PDF]
Scientific ReportsLet $$G_S$$ 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
Atom-bond connectivity index of graphs
Discrete Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +4 more sources
Bounds for the Atom-Bond Sum-Connectivity Index of Graphs [PDF]
Match Communications in Mathematical and in Computer ChemistrySummary: The \textit{atom-bond sum-connectivity} \((ABSC)\) index of a graph \(G\) is defined as \(ABSC(G)=\sum\limits_{uv\in E(G)}\sqrt\frac{d_u +d_v -2}{d_u +d_v}\), where \(d_u\) and \(d_v\) represent the degrees of \(u\) and \(v\) in \(G\), respectively.
Zaryab Hussain, Hechao Liu, Hongbo Hua
openalex +2 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 +4 more sources
DIFFERENT VERSIONS OF ATOM BOND SUM CONNECTIVITY INDEX
, 2023 We introduce some new atom bond sum connectivity indices: second, third and fourth atom bond sum connectivity indices of a graph. In this paper, we compute the atom bond sum connectivity index, the second, third and fourth atom bond sum connectivity indices and neighborhood sum atom bond connectivity index of some important chemical drugs such as ...
V.R.Kulli
openalex +2 more sources
More on comparison between first geometric-arithmetic index and atom-bond connectivity index [PDF]
, 2016 The first geometric-arithmetic (GA) index and atom-bond connectivity (ABC) index are molecular structure descriptors which play a significant role in quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship ...
Zahid Raza +2 more
openalex +5 more sources