Results 21 to 30 of about 15,342 (178)

Hosoya Polynomials Of Some Semiconducotors

Journal of Kufa for Mathematics and Computer, 2014
The Hosoya polynomial of a graph G is a graphical invariant polynomial that its first derivative at x = 1 is equal to the Wiener index and second derivative at x =1 is equal to the hyperWiener index.
Azeez Lafta Jabir, AbdulJalil M. Khalaf, Emad A. Jaffar AL-Mulla   +2 more
doaj   +1 more source

The Connectivity and the Harary Index of a Graph [PDF]

, 2012
The Harary index of a graph is defined as the sum of reciprocals of distances between all pairs of vertices of the graph. In this paper we provide an upper bound of the Harary index in terms of the vertex or edge connectivity of a graph.
Das, Diudea, Estrada, Feng, He, Ilić, Ivanciuc, Lučić, Plavčsić, Wiener, Xiao-Xin Li, Xu, Xu, Xu, Xu, Yi-Zheng Fan, Yu, Zhou   +17 more
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The Hyper-Wiener Index of One-pentagonal Carbon Nanocone [PDF]

Current Nanoscience, 2013
One-pentagonal carbon nanocone consists of one pentagon as its core surrounded by layers of hexagons. If there are n layers, then the graph of the molecules is denoted by Gn. In this paper our aim is to explicitly calculate the hyper-Wiener index of Gn.
Khalifeh, M. H., Darafsheh, M. R., Jolany, Hassan   +2 more
openaire   +2 more sources

Stein's method meets Malliavin calculus: a short survey with new estimates [PDF]

, 2009
We provide an overview of some recent techniques involving the Malliavin calculus of variations and the so-called ``Stein's method'' for the Gaussian approximations of probability distributions.
Nourdin, Ivan, Peccati, Giovanni
core   +6 more sources

Learning Wavefront Coding for Extended Depth of Field Imaging [PDF]

, 2020
Depth of field is an important factor of imaging systems that highly affects the quality of the acquired spatial information. Extended depth of field (EDoF) imaging is a challenging ill-posed problem and has been extensively addressed in the literature ...
Akpinar, Ugur, Gotchev, Atanas, Meem, Monjurul, Menon, Rajesh, Sahin, Erdem   +4 more
core   +2 more sources

Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems

Journal of Chemistry, 2020
In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound.
Zhong-Lin Cheng, Ashaq Ali, Haseeb Ahmad, Asim Naseem, Maqbool Ahmad Chaudhary   +4 more
doaj   +1 more source

Punctuated equilibria and 1/f noise in a biological coevolution model with individual-based dynamics [PDF]

, 2003
We present a study by linear stability analysis and large-scale Monte Carlo simulations of a simple model of biological coevolution. Selection is provided through a reproduction probability that contains quenched, random interspecies interactions, while ...
A. Roberts, B. Drossel, C.C. Wilmers, C.E. Shannon, C.E. Shannon, C.M. Newman, D. Chowdhury, E. Tüzel, E. Tüzel, F. Daerden, I. Procaccia, I.D. Rozdilsky, J. Davidsen, J. Maynard Smith, J.A.J. Metz, K. Christensen, M. Doebeli, M. Eigen, M. Eigen, M. Hall, M. Howard, M.E. Gilpin, M.E.J. Newman, M.E.J. Newman, M.R. Gardner, P. Bak, P. Bak, P. Bak, P.A. Rikvold, P.A. Rikvold, P.F. Verhulst, P.H. Leslie, P.H. Leslie, Per Arne Rikvold, R. K. P. Zia, R.M. May, R.V. Solé, R.V. Solé, S.A. di Collobiano, S.A. Kauffman, S.J. Gould, S.J. Gould, T. Tregonning, T.J. Penna   +43 more
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Some distance based indices of graphs based on four new operations related to the lexicographic product

Karpatsʹkì Matematičnì Publìkacìï, 2019
For a (molecular) graph, the Wiener index, hyper-Wiener index and degree distance index are defined as $$W(G)= \sum_{\{u,v\}\subseteq V(G)}d_G(u,v),$$ $$WW(G)=W(G)+\sum_{\{u,v\}\subseteq V(G)} d_{G}(u,v)^2,$$ and $$DD(G)=\sum_{\{u,v\}\subseteq V(G)}d_G(u,
N. Dehgardi, S.M. Sheikholeslami, M. Soroudi   +2 more
doaj   +1 more source

Eccentricity based topological indices of face centered cubic lattice FCC(n)

Main Group Metal Chemistry, 2021
Chemical graph theory has become a prime gadget for mathematical chemistry due to its wide range of graph theoretical applications for solving molecular problems.
Shaker Hani, Imran Muhammad, Sajjad Wasim   +2 more
doaj   +1 more source

The hyper edge-Wiener index of corona product of graphs [PDF]

Transactions on Combinatorics, 2015
Let G be a simple connected graph. The edge-Wiener index W e (G) is the sum of all distances between edges in G , whereas the hyper edge-Wiener index WW e (G) is defined as {\footnotesize WW e (G)=12 W e (G)+12 W 2 e (G) }, where {footnotesize W 2 e ...
Abolghasem Soltani, Ali Iranmanesh
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