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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The prediction of molecular activity plays an important role in drug discovery. Various approaches have been devised to predict anti‐HIV activity based on topological indices. This study proposes Steiner 3‐eccentric connectivity index and Steiner 3‐eccentric distance sum and applies them to predict anti‐HIV activity of a molecule.
Xingfu Li, Arpan Hazra
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.Nonassociative algebra presents multiple options for comprehending and dealing with difficulties in graph theory, artificial intelligence, and cryptography. Its distinctive traits introduce genuine concepts and procedures not found in conventional associative algebra, yielding to new results from studies and breakthroughs in multiple disciplines ...
Mohammad Mazyad Hazzazi +5 more
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Hosoya Polynomials of Steiner Distance of the Sequential Join of Graphs [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 The Hosoya polynomials of Steiner n-distance of the sequential join of graphs and are obtained and the Hosoya polynomials of Steiner 3-distance of the sequential join of m graphs are also obtained.
Herish Abdullah
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Electronic Research Archive, 2023 In this paper, we develop a numerical method by using operational matrices based on Hosoya polynomials of simple paths to find the approximate solution of diffusion equations of fractional order with respect to time.
Ping Zhou +3 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In its crystalline state, the α‐icosahedral nanosheet of boron demonstrates superconductivity and thermal electronic properties. Mathematical research on a graph’s structure yields a graph descriptor, a numerical measure. Chemical graph theory employs connectivity descriptors to analyze molecular structures, providing crucial insights into many ...
Khalil Hadi Hakami +3 more
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Extremal Bicyclic Graphs with Respect to Permanental Sums and Hosoya Indices
AxiomsGraph polynomials is one of the important research directions in mathematical chemistry. The coefficients of some graph polynomials, such as matching polynomial and permanental polynomial, are related to structural properties of graphs.
Tingzeng Wu, Yinggang Bai, Shoujun Xu
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w-Hosoya polynomials for Pentagonal Chains [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 Properties of the width distance in graphs are given in this paper . The w-Hosoya Polynomials of straight pentagonal chains and of alternate pentagonal chains are obtained with Wiener indices of the width distance of such graphs.
Ali Ali, Shwan Abdul Ilyas
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Hosoya polynomial of composite graphs
Discrete Mathematics, 2001 Given a connected graph \(G\), the Hosoya polynomial of \(G\) is \(H(G,x)= \frac{1}{2} \sum x^{d(u,v)}\) where the sum ranges over the set of all pairs of vertices \(u\neq v\). \textit{Y.-N. Yeh} and \textit{I. Gutman} [Discrete Math. 135, No. 1-3, 359-365 (1994; Zbl 0814.05033)] examined the Wiener number (the sum of distances between all pairs of ...
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Hosoya polynomial of some cactus chains
Cogent Mathematics, 2017 Let G=(V,E) be a simple graph. Hosoya polynomial of G is H(G,x)=∑{u,v}⊆V(G)xd(u,v), where d(u, v) denotes the distance between vertices u and v.
Ali Sadeghieh +3 more
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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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