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Published in 2017 at "Earth Surface Processes and Landforms"
DOI: 10.1002/esp.4295
Abstract: Connectivity has become an increasingly used concept in hydrological and sediment research. In order to quantify it, various indices have been proposed since the start of the 21st century including the index of connectivity. This…
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Keywords:
connectivity index;
pixel size;
connectivity;
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Published in 2019 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-019-7320-1
Abstract: Let G be a finite connected graph. The eccentric connectivity index ξc(G) of G is defined as ξc(G) = ΣV∈V (G) ec(v)deg(v), where ec(v) and deg(v) denote the eccentricity and degree of a vertex v…
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Keywords:
connectivity index;
index connectivity;
connectivity;
eccentric connectivity ... See more keywords
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Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-019-00755-3
Abstract: The general sum-connectivity index of a graph G is defined as $$\chi _\alpha (G)=\sum _{uv\in E(G)}(d(u)+d(v))^{\alpha }$$ χ α ( G ) = ∑ u v ∈ E ( G ) ( d ( u…
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Keywords:
number;
sum connectivity;
general sum;
sum ... See more keywords
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Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.06.069
Abstract: Abstract The atom-bond connectivity index (ABC-index) is a useful topological index employed in studying the stability of alkanes and the strain energy of cycloalkanes. The ABC-index of a nontrivial graph G, denoted by A B…
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Keywords:
bond connectivity;
atom bond;
abc index;
connectivity index ... See more keywords
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Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3175425
Abstract: This paper investigates the global connectivity of complex networks with random links. An expected communication graph with weighted edges is used to model the network. The notion of weighted vertex connectivity (WVC) introduced in the…
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Keywords:
connectivity;
computationally efficient;
index weighted;
efficient connectivity ... See more keywords
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Published in 2017 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557118500304
Abstract: 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 n-vertex tricyclic graphs. In this short…
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Keywords:
connectivity index;
sum connectivity;
general sum;
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Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1350-y
Abstract: The general sum-connectivity index is a molecular descriptor defined as χα(X)=∑xy∈E(X)(dX(x)+dX(y))α$\chi_{\alpha}(X)=\sum_{xy\in E(X)}(d_{X}(x)+d_{X}(y))^{\alpha}$, where dX(x)$d_{X}(x)$ denotes the degree of a vertex x∈X$x\in X$, and α is a real number. Let X be a graph; then let…
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Keywords:
sum;
sum connectivity;
general sum;
connectivity index ... See more keywords
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Published in 2017 at "Open Physics"
DOI: 10.1515/phys-2017-0039
Abstract: Abstract From the earlier studies in physical and chemical sciences, it is found that the physico-chemical characteristics of chemical compounds are internally connected with their molecular structures. As a theoretical basis, it provides a new…
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Keywords:
connectivity index;
eccentric connectivity;
ediz eccentric;
computing ediz ... See more keywords
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Published in 2019 at "Journal of neurosurgery"
DOI: 10.3171/2019.4.jns195
Abstract: OBJECTIVE The aim of this study was to investigate the performance of a metric of functional connectivity to classify and grade the excitability of brain regions based on evoked potentials in response to single-pulse electrical…
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Keywords:
number;
control;
connectivity;
evoked responses ... See more keywords