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Connectivity Index of Generalized Uncertain Graph. [PDF]
In the application of classical graph theory, there always are various indeterministic factors. This study studies the indeterministic factors in the connected graph by employing the uncertainty theory. First, this study puts forward two concepts: generalized uncertain graph and its connectivity index. Second, it presents a new algorithm to compute the
Wang J, Gao X, Zhou X, Guo C, Yin X.
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Eccentric connectivity index [PDF]
The eccentric connectivity index $\xi^c$ is a novel distance--based molecular structure descriptor that was recently used for mathematical modeling of biological activities of diverse nature. It is defined as $\xi^c (G) = \sum_{v \in V (G)} deg (v) \cdot
Ilić, Aleksandar
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On Eccentric Connectivity Index of TiO2 Nanotubes
The eccentric connectivity index (ECI) is a distance based molecular structure descriptor that was recently used for mathematical modeling of biological activities of diverse nature.
Imran Nadeem, Hani Shaker
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Wiener index and applications in the Neutrosophic graphs [PDF]
In this article, we have examined the Wiener index in neutrosophic graphs. Wiener index is one of the most important topological indices. This index is a distance-based index that is calculated based on the geodesic distance between two vertices.
Masoud Ghods, Zahra Rostami
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Choosing the exponent in the definition of the connectivity index [PDF]
Let δv denote the degree of the vertex v of a molecular graph G. Then the connectivity index of G is defined as C (λ) = G (λ,C) = Σ (δuδv)λ, where the summation goes over all pairs of adjacent vertices.
Gutman Ivan, Lepović Mirko
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Two theorems on connectivity indices [PDF]
Two general cases are pointed out for which the ordering of molecules according to the connectivity index C(l) is the same for all values of the exponent l.
IVAN GUTMAN
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Ordering of alkane isomers by means of connectivity indices [PDF]
The connectivity index of an organic molecule whose molecular graph is Gis defined as C(λ)=Σ(δuδv)λwhere δu is the degree of the vertex u in G, where the summation goes over all pairs of adjacent vertices of G and where λ is a pertinently chosen ...
Gutman Ivan +2 more
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Exploring structural sediment connectivity via surface runoff in agricultural lands of Finland
Spatial information on the distribution of erosion areas and sediment transport pathways within agricultural landscapes is limited. Thus, we assess structural sediment connectivity via surface runoff by using a digital elevation model (2 × 2 m2) and ...
M. Tähtikarhu +3 more
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On the Edge-Connectivity of an Uncertain Random Graph
Connectivity is one of the most important concepts in graph theory. When graph theory is applied to complex systems with indeterminate factors, uncertainty and randomness are two basic types of indeterminacy.
Hao Li, Hui Zhang
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Augmented eccentric connectivity index [PDF]
We review basic mathematical properties of the augmented eccentric connectivity index. Explicit formulas are presented for several classes of graphs, in particular for some open and closed unbranched polymers and nanostructures. Asymptotic behavior is explored and compression ratios are computed for those polymers.
Doslic, Tomislav, Saheli, Mahboubeh
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