Results 41 to 50 of about 4,539,869 (304)
The Wiener polarity index of benzenoid systems and nanotubes [PDF]
, 2017 In this paper, we consider a molecular descriptor called the Wiener polarity index, which is defined as the number of unordered pairs of vertices at distance three in a graph.
Tratnik, Niko
core +3 more sources
Tail Bounds for the Wiener Index of Random Trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 Upper and lower bounds for the tail probabilities of the Wiener index of random binary search trees are given. For upper bounds the moment generating function of the vector of Wiener index and internal path length is estimated.
Tämur Ali Khan, Ralph Neininger
doaj +1 more source
Hosoya polynomial of zigzag polyhex nanotorus [PDF]
Journal of the Serbian Chemical Society, 2008 The Hosoya polynomial of a molecular graph G is defined as ... , where d(u,v) is the distance between vertices u and v. The first derivative of H(G,l) at l = 1 is equal to the Wiener index of G, defined as .... . The second derivative of .... at l = 1 is
MEHDI ELIASI, BIJAN TAERI
doaj +3 more sources
Sharp bounds and normalization of Wiener-type indices. [PDF]
PLoS ONE, 2013 Complex networks abound in physical, biological and social sciences. Quantifying a network's topological structure facilitates network exploration and analysis, and network comparison, clustering and classification.
Dechao Tian, Kwok Pui Choi
doaj +1 more source
Hosoya and Harary Polynomials of TOX(n),RTOX(n),TSL(n) and RTSL(n)
Discrete Dynamics in Nature and Society, 2019 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.
Lian Chen +5 more
doaj +1 more source
Topological atomic displacements, Kirchhoff and Wiener indices of molecules [PDF]
, 2009 We provide a physical interpretation of the Kirchhoff index of any molecules as well as of the Wiener index of acyclic ones. For the purpose, we use a local vertex invariant that is obtained from first principles and describes the atomic displacements ...
Estrada, Ernesto, Hatano, Naomichi
core +2 more sources
On the Graovac-Pisanski index [PDF]
Kragujevac Journal of Science, 2017 The Graovac-Pisanski index (GP index) is an algebraic approach for generalizing the Wiener index. In this paper, we compute the difference between the Wiener and GP indices for an infinite family of polyhedral graphs.
Hakimi-Nezhaad Mardjan +1 more
doaj +1 more source
Mathematical aspects of Wiener index
Ars Mathematica Contemporanea, 2016 The Wiener index (i.e., the total distance or the transmission number), defined as the sum of distances between all unordered pairs of vertices in a graph, is one of the most popular molecular descriptors. In this article we summarize some results, conjectures and problems on this molecular descriptor, with emphasis on works we were involved in.
Knor, Martin +2 more
openaire +5 more sources
Linear filtering with fractional Brownian motion in the signal and observation processes [PDF]
, 1999 Integral equations for the mean-square estimate are obtained for the linear filtering problem, in which the noise generating the signal is a fractional Brownian motion with Hurst index h∈(3/4,1) and the noise in the observation process includes a ...
Anh, Vo Van +2 more
core +2 more sources
On the Wiener Polarity Index of Lattice Networks. [PDF]
PLoS ONE, 2016 Network structures are everywhere, including but not limited to applications in biological, physical and social sciences, information technology, and optimization. Network robustness is of crucial importance in all such applications.
Lin Chen +4 more
doaj +1 more source