Results 31 to 40 of about 143,498 (274)
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
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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
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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
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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
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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
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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
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Random recursive trees: A boundary theory approach [PDF]
, 2014 We show that an algorithmic construction of sequences of recursive trees leads to a direct proof of the convergence of random recursive trees in an associated Doob-Martin compactification; it also gives a representation of the limit in terms of the input
Grübel, Rudolf, Michailow, Igor
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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
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Wiener Index, Hyper-wiener Index, Harary Index and Hamiltonicity of graphs
, 2018 In this paper, we discuss the Hamiltonicity of graphs in terms of Wiener index, hyper-Wiener index and Harary index of their quasi-complement or complement. Firstly, we give some sufficient conditions for an balanced bipartite graph with given the minimum degree to be traceable and Hamiltonian, respectively.
Yu, Guidong, Ren, Lifang, Cai, Gaixiang
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Quantitative structure–activity relationship based modeling of substituted indole Schiff bases as inhibitor of COX-2 [PDF]
, 2013 We have performed the quantitative structure activity relationship (QSAR) study for N-1 and C-3 substituted indole shiff bases to understand the structural features that influence the inhibitory activity toward the cyclooxygenase-2 (COX-2) enzyme.
Dwivedi, Amrita +2 more
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