Results 1 to 10 of about 91 (73)
Sum Geometric Harmonic Means Index of Graphs
Albaydha University Journal, 2023 In this paper, the concept of sum geometric harmonic means index of a graph G, denoted by SGhm(G) is introduced and sum geometric harmonic means index SGhm(G) of few families of graphs is computed.
S. S. Mahde, Ebrahim Mohammed Abdallah
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Wiener index in graphs with given minimum degree and maximum degree [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 Let $G$ be a connected graph of order $n$.The Wiener index $W(G)$ of $G$ is the sum of the distances between all unordered pairs of vertices of $G$. In this paper we show that the well-known upper bound $\big( \frac{n}{\delta+1}+2\big) {n \choose 2}$ on ...
Peter Dankelmann, Alex Alochukwu
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Second Redefined Zagreb Index of Generalized Transformation Graph
International journal of science, engineering and management, 2022 The topological indices are useful part in the investigations of quantitative structure property relationship (QSPR) and quantitative structure activity relationship (QSAR) in mathematical chemistry.
V. T, Sharan Hegde, Afshan Tarannum
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Open Chemistry, 2021 In the study of chemical graph theory, an enormous number of research analyses have confirmed that the characteristics of chemicals have a nearby connection with their atomic structure.
Chen Shu-Bo +4 more
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Neighborhood hypergraph model for topological data analysis
Computational and Mathematical Biophysics, 2022 Hypergraph, as a generalization of the notions of graph and simplicial complex, has gained a lot of attention in many fields. It is a relatively new mathematical model to describe the high-dimensional structure and geometric shapes of data sets.
Liu Jian, Chen Dong, Li Jingyan, Wu Jie
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On correlation of hyperbolic volumes of fullerenes with their properties
Computational and Mathematical Biophysics, 2020 We observe that fullerene graphs are one-skeletons of polyhedra, which can be realized with all dihedral angles equal to π /2 in a hyperbolic 3-dimensional space. One of the most important invariants of such a polyhedron is its volume.
Egorov A. A., Vesnin A Yu.
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On the multiplicative sum Zagreb index of graphs with some given parameters
Journal of Mathematical Inequalities, 2020 The multiplicative sum Zagreb index of a graph G is the product of the sums of degrees of pairs of adjacent vertices. In this work, we obtain the maximum values of the multiplicative sum Zagreb indices with fixed number of cut edges, or cut vertices, or ...
Jianwei Du, Xiaoling Sun
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The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram
Computational and Mathematical Biophysics, 2020 The morphometric approach [11, 14] writes the solvation free energy as a linear combination of weighted versions of the volume, area, mean curvature, and Gaussian curvature of the space-filling diagram.
Akopyan Arsenyi, Edelsbrunner Herbert
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Forgotten Polynomial and Forgotten Index of Certain Interconnection Networks
, 2017 Chemical reaction network theory is an area of applied mathematics that attempts to model the behavior of real world chemical systems. Since its foundation in the 1960s, it has attracted a growing research community, mainly due to its applications in ...
H. Siddiqui, M. Farahani
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The Weighted Mean Curvature Derivative of a Space-Filling Diagram
Computational and Mathematical Biophysics, 2020 Representing an atom by a solid sphere in 3-dimensional Euclidean space, we get the space-filling diagram of a molecule by taking the union. Molecular dynamics simulates its motion subject to bonds and other forces, including the solvation free energy ...
Akopyan Arsenyi, Edelsbrunner Herbert
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