Results 251 to 260 of about 193,774 (278)

On the General Sum–Connectivity Co–Index of Graphs

2011
In this paper, a new molecular-structure descriptor, the general sum–connectivity co–index   is considered, which generalizes the first Zagreb co–index and the general sum– connectivity index of graph theory. We mainly explore the lower and upper bounds in terms of the order and size for this new invariant.
SU, G., XU, L.
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On General Sum-Connectivity Index of Benzenoid Systems and Phenylenes

2010
The general sum-connectivity index of a graph G, denoted by ) (G a a χ χ = is defined as ∑ ∈ + = ) ( ) ( G E uv a v u a d d χ , where du (or dv) is the degree of the vertex u (or v). Efficient formulas for calculating the general sum-connectivity index of benzenoid systems and their phenylenes are given, and a relation is established between the ...
CHEN, SH., XIA, F., YANG, J.
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General sum-connectivity index of unicyclic graphs with given maximum degree

Discrete Applied Mathematics
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Elize Swartz, Tomáš Vetrík
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General Sum-Connectivity Index with a = 1 for Trees and Unicyclic Graphs with k Pendants

2015 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2015
One of the newest molecular descriptors, the general sum-connectivity index of a graph G is defined as ?a(G) = Suv?E(G)(d(u)+d(v))a, where d(u) denotes the degree of vertex u in G and a is a real number. The aim of this paper is to determine the trees and the unicyclic graphs with k pendant vertices that maximize the general sum-connectivity index for ...
Rozica-Maria Tache, Ioan Tomescu
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General ( α , 2 ) Path Sum Connectivity Index of Nanostructures

Journal of Corrosion and Materials
The general path sum connectivity index of a molecular graph, denoted as t χ α ( G ) , is defined for a graph G , where α is a positive real number and t is a positive integer. This index is expressed as: t χ α ( G ) = ∑ p t = v j 1 v j 2 … v j t + 1 ⊆ G [ d G ( v j 1 ) + d G ( v j 2 ) + ⋯ + d G ( v j t + 1 ) ] α , where p t represents a ...
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A Note on the General Sum–Connectivity Index of a Graph and Its Line Graph

Match Communications in Mathematical and in Computer Chemistry
Summary: For a real number \(\beta\), the general sum-connectivity index \(\chi_\beta(G)\) of a graph \(G\) is defined as \(\chi_\beta(G) = \sum_{xy\in E(G)}(d_G(x) + d_G(y))^\beta\), where \(d(x)\) denote the degree of a vertex \(x\) in \(G\). In Chen (2023), the author present the lower bounds for \(\chi_\beta(L(G))\) in terms of \(\chi_\beta(G ...
Su, Zhenhua, Tang, Zikai, Chen, Shubo
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On trees of a fixed maximum degree with extremal general atom-bond sum-connectivity index

Journal of Applied Mathematics and Computing
We consider general atom-bond sum-connectivity indices $ABS_l(G)$ for $1/2 \leq l \leq 1$ and study their values over all trees on a given number of vertices with a fixed maximum degree $\Delta $. We obtain both the minimum and the maximum values and characterize the corresponding trees.
Akbar Ali, Tomislav Došlić, Zahid Raza
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General Harmonic Index and General Sum Connectivity Index of Polyomino Chains and Nanotubes

Journal of Computational and Theoretical Nanoscience, 2015
Li Yan, Wei Gao, Junsheng Li
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Patient navigation across the cancer care continuum: An overview of systematic reviews and emerging literature

Ca-A Cancer Journal for Clinicians, 2023
Matthew Tieu, Jolyn Johal, Nicolas H Hart   +2 more
exaly  

Radiotheranostics in oncology: Making precision medicine possible

Ca-A Cancer Journal for Clinicians, 2023
Eric Aboagye
exaly