Results 21 to 30 of about 82,097 (123)
Topological Indices of the Pent-Heptagonal Nanosheets VC5C7 and HC5C7
In this paper, we computed the topological indices of pent-heptagonal nanosheet. Formulas for atom-bond connectivity index, fourth atom-bond connectivity index, Randić connectivity index, sum-connectivity index, first Zagreb index, second Zagreb index ...
Fei Deng +4 more
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Computing three topological indices for Titania nanotubes TiO2[m,n]
A numeric quantity which characterizes the whole structure of a graph is called a topological index. The concept of Generalized Zagreb, atom–bond connectivity (ABC) and geometric–arithmetic (GA) topological indices was established in chemical graph ...
Jia-Bao Liu +3 more
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Topological Indices of Families of Bistar and Corona Product of Graphs
Topological indices are graph invariants that are used to correlate the physicochemical properties of a chemical compound with its (molecular) graph. In this study, we study certain degree-based topological indices such as Randić index, Zagreb indices ...
A. Khalid +5 more
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Aggregating Composite Indicators through the Geometric Mean: A Penalization Approach
In this paper, we introduce a penalized version of the geometric mean. In analogy with the Mazziotta Pareto Index, this composite indicator is derived as a product between the geometric mean and a penalization term to account for the unbalance among ...
Francesca Mariani, Mariateresa Ciommi
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New inequalities involving the Geometric-Arithmetic index
Let $G=(V,E)$ be a simple connected graph and $d_i$ be the degree of its $i$th vertex. In a recent paper [J. Math. Chem. 46 (2009) 1369-1376] the first geometric-arithmetic index of a graph $G$ was defined as $$GA_1=\sum_{ij\in E}\frac{2 \sqrt{d_i d_j}}{d_i + d_j}.$$ This graph invariant is useful for chemical proposes.
Rodríguez, J. M. +2 more
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Topological Indices of Certain Transformed Chemical Structures
Topological indices like generalized Randić index, augmented Zagreb index, geometric arithmetic index, harmonic index, product connectivity index, general sum-connectivity index, and atom-bond connectivity index are employed to calculate the bioactivity ...
Xuewu Zuo +4 more
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Proposal and validation of geostatistical-based metrics to quantify within-field variability [PDF]
Metrics are fundamental to quantify and classify the spatial dependence of soil and agricultural attributes. This study aimed to propose and validate metrics based on two distinct approaches, one additive, which considers the arithmetic mean of the ...
Enio Júnior Seidel +1 more
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On Multiplicative Topological Invariants of Magnesium Iodide Structure
In recent times, the applications of graph theory in molecular and chemical structure research have far exceeded human expectations and have grown exponentially.
Zhiqiang Zhang +5 more
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Geometric-Arithmetic index and line graph
The concept of geometric-arithmetic index was introduced in the chemical graph theory recently, but it has shown to be useful. The aim of this paper is to obtain new inequalities involving the geometric-arithmetic index $GA_1$ and characterize graphs extremal with respect to them.
Pestana, Domingo +2 more
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On a mathematical theory of sustainability assessment
We compile a number of postulates to be satisfied by a function that mathematically assesses sustainability of some type: national, urban, energy, etc.
Yannis A. Phillis +3 more
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