Results 31 to 40 of about 15,243 (160)

The hyper‐Wiener Index of diamond nanowires

International Journal of Quantum Chemistry, 2023
AbstractCarbon nanowires based on various structures have various applications. In this article, our focus is on diamond nano‐wires, based on the structure of the diamond. Our goal is to characterize these nanowires by providing their hyper‐Wiener index, one of the basic topological graph indices.
openaire   +1 more source

Do Anthropogenic Activities Affect Floristic Diversity and Vegetation Structure More Than Natural Soil Properties in Hyper-Arid Desert Environments?

Diversity, 2021
Egypt is characterized by its hyper-arid desert environment with high temperature, scanty rainfall, high evapotranspiration rate, and patchy scattered precipitation-dependent vegetation.
Ethar A. Hussein, Monier M. Abd El-Ghani, Rim S. Hamdy, Lamiaa F. Shalabi   +3 more
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Multivariate limit theorems in the context of long-range dependence [PDF]

, 2013
We study the limit law of a vector made up of normalized sums of functions of long-range dependent stationary Gaussian series. Depending on the memory parameter of the Gaussian series and on the Hermite ranks of the functions, the resulting limit law may
Bai, Shuyang, Taqqu, Murad S.
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Exact Formula for Computing the Hyper-Wiener Index on Rows of Unit Cells of the Face-Centred Cubic Lattice

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Similarly to Wiener index, hyper-Wiener index of a connected graph is a widely applied topological index measuring the compactness of the structure described by the given graph. Hyper-Wiener index is the sum of the distances plus the squares of distances
Mujahed Hamzeh, Nagy Benedek
doaj   +1 more source

Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs Pn,1 and Pn,2

Journal of Mathematics, 2023
The graph theory has wide important applications in various other types of sciences. In chemical graph theory, we have many topological polynomials for a graph G through which we can compute many topological indices.
Ramy Shaheen, Suhail Mahfud, Qays Alhawat   +2 more
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Fables of reconstruction: controlling bias in the dark energy equation of state [PDF]

, 2011
We develop an efficient, non-parametric Bayesian method for reconstructing the time evolution of the dark energy equation of state w(z) from observational data.
Crittenden, Robert G., Pogosian, Levon, Samushia, Lado, Zhang, Xinmin, Zhao, Gong-Bo   +4 more
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Sharp bounds and normalization of Wiener-type indices [PDF]

, 2013
10.1371/journal.pone.0078448PLoS ONE811 ...
A Balaban, A Delprato, A Dobrynin, A Fronczak, AD Barbour, AL Barabasi, AL Barabási, BH Junker, D Plavšić, Dechao Tian, DJ Watts, F Brückler, Fabio Rapallo, G Csardi, G Ren, H Hosoya, H Wiener, H Wiener, I Gutman, I Gutman, I Gutman, JH Ward Jr, Kwok Pui Choi, L Hu, L Mueller, L Soltés, M Dehmer, M Dehmer, M Dehmer, M Randić, M Vidal, ME Newman, N Pržulj, NS Schmuck, O Resendis-Antonio, O Resendis-Antonio, P Erdős, P Erdős, S Wagnera, T Milenković, WM Rand, Y Zhang   +41 more
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Note on the Hyper-Wiener Index [PDF]

Journal of the Serbian Chemical Society, 2003
The hyper-Wiener index WW of a chemical tree T is defined as the sum of the products n1n2, over all pairs u, u of vertices of T, where n1 and n2 are the number of vertices of T, lying on the two sides of the path which connects u and u.
IVAN GUTMAN, BORIS FURTULA, JASMINA BELIC   +2 more
doaj  

Hyper-Wiener indices of polyphenyl chains and polyphenyl spiders

Open Mathematics, 2019
Let G be a connected graph and u and v two vertices of G. The hyper-Wiener index of graph G is WW(G)=12∑u,v∈V(G)(dG(u,v)+dG2(u,v))$\begin{array}{} WW(G)=\frac{1}{2}\sum\limits_{u,v\in V(G)}(d_{G}(u,v)+d^{2}_{G}(u,v)) \end{array}$, where dG(u, v) is the ...
Wu Tingzeng, Lü Huazhong
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Modern optical astronomy: technology and impact of interferometry [PDF]

, 2002
The present `state of the art' and the path to future progress in high spatial resolution imaging interferometry is reviewed. The review begins with a treatment of the fundamentals of stellar optical interferometry, the origin, properties, optical ...
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