Results 21 to 30 of about 39,052 (275)

On the Minimal General Sum-Connectivity Index of Connected Graphs Without Pendant Vertices [PDF]

IEEE Access, 2019
The general sum-connectivity index of a graph $G$ , denoted by $\chi _{_\alpha }(G)$ , is defined as $\sum _{uv\in E(G)}(d(u)+d(v))^{\alpha }$ , where $uv$ is the edge connecting the vertices $u,v\in V(G)$ , $d(w)$ denotes the degree of a vertex
Akbar Ali, Shahzad Ahmed, Zhibin Du, Wei Gao, Muhammad Aslam Malik   +4 more
doaj   +3 more sources

On the general atom-bond sum-connectivity index

AIMS Mathematics, 2023
<abstract><p>This paper is concerned with a generalization of the atom-bond sum-connectivity (ABS) index, devised recently in [A. Ali, B. Furtula, I. Redžepović, I. Gutman, Atom-bond sum-connectivity index, <italic>J. Math. Chem.</italic>, <bold>60</bold> (2022), 2081-2093].
Abeer M. Albalahi, Zhibin Du, Akbar Ali
openaire   +3 more sources

On Certain Aspects of Topological Indices

Journal of Mathematics, 2021
A topological index, also known as connectivity index, is a molecular structure descriptor calculated from a molecular graph of a chemical compound which characterizes its topology.
Tanweer Ul Islam, Zeeshan Saleem Mufti, Aqsa Ameen, Muhammad Nauman Aslam, Ali Tabraiz   +4 more
doaj   +2 more sources

Sharp Bounds for the General Sum-Connectivity Indices of Transformation Graphs [PDF]

Discrete Dynamics in Nature and Society, 2017
Given a graph G, the general sum-connectivity index is defined as χα(G)=∑uv∈E(G)dGu+dGvα, where dG(u) (or dG(v)) denotes the degree of vertex u (or v) in the graph G and α is a real number.
Haiying Wang, Jia-Bao Liu, Shaohui Wang, Wei Gao, Shehnaz Akhter, Muhammad Imran, Mohammad R. Farahani   +6 more
doaj   +2 more sources

Maximum General Sum-Connectivity Index of Trees and Unicyclic Graphs with Given Order and Number of Pendant Vertices

Mathematics
For a∈R, the general sum-connectivity index of a graph G is defined as χa(G)=∑uv∈E(G)[dG(u)+dG(v)]a, where E(G) is the set of edges of G and dG(u) and dG(v) are the degrees of vertices u and v, respectively.
Elize Swartz, Tomáš Vetrík
doaj   +2 more sources

An alternative but short proof of a result of Zhu and Lu concerning general sum-connectivity index

, 2018
Recently, Zhu and Lu, [On the general sum-connectivity index of tricyclic graphs, J. Appl. Math. Comput. 51(1) (2016) 177–188] determined the graphs having maximum general sum-connectivity index among all [Formula: see text]-vertex tricyclic graphs.
Akbar Ali
core   +2 more sources

An Optimization Problem for Computing Predictive Potential of General Sum/Product-Connectivity Topological Indices of Physicochemical Properties of Benzenoid Hydrocarbons

Axioms
For a graph G=(VG,EG), a degree-based graphical index GId takes the general form GId=∑xy∈EGϕ(dx,dy), where ϕ is a symmetric map and di is the degree of i∈VG. For α∈R, if ϕ=(dxdy)α (resp.
Sakander Hayat, Azri Arfan, Asad Khan, Haziq Jamil, Mohammed J. F. Alenazi   +4 more
doaj   +2 more sources

On the general sum-connectivity index of hypergraphs

AIMS Mathematics
Hongzhuan Wang, Piaoyang Yin, Yan Li
openaire   +2 more sources

Closed Formulas for Some New Degree Based Topological Descriptors Using M-polynomial and Boron Triangular Nanotube

Frontiers in Chemistry, 2021
In this article, we provide new formulas to compute the reduced reciprocal randić index, Arithmetic geometric1 index, SK index, SK1 index, SK2 index, edge version of the first zagreb index, sum connectivity index, general sum connectivity index, and the ...
Dong Yun Shin, Sabir Hussain, Farkhanda Afzal, Choonkil Park, Deeba Afzal, Mohammad R. Farahani   +5 more
doaj   +1 more source

On the Computation of Some Topological Descriptors to Find Closed Formulas for Certain Chemical Graphs

Journal of Chemistry, 2021
In this research paper, we will compute the topological indices (degree based) such as the ordinary generalized geometric-arithmetic (OGA) index, first and second Gourava indices, first and second hyper-Gourava indices, general Randic´ index RγG,for γ=±1,
Muhammad Haroon Aftab, Muhammad Rafaqat, M. Hussain, Tariq Zia   +3 more
doaj   +1 more source