Results 11 to 20 of about 5,776,880 (162)
Sharp Bounds of the Hyper-Zagreb Index on Acyclic, Unicylic, and Bicyclic Graphs [PDF]
Discrete Dynamics in Nature and Society, 2017 The hyper-Zagreb index is an important branch in the Zagreb indices family, which is defined as ∑uv∈E(G)(d(u)+d(v))2, where d(v) is the degree of the vertex v in a graph G=(V(G),E(G)). In this paper, the monotonicity of the hyper-Zagreb index under some
Wei Gao +5 more
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Topological Indices of the Pent-Heptagonal Nanosheets VC5C7 and HC5C7
Advances in Materials Science and Engineering, 2019 In this paper, we computed the topological indices of pent-heptagonal nanosheet. Formulas for atom-bond connectivity index, fourth atom-bond connectivity index, Randić connectivity index, sum-connectivity index, first Zagreb index, second Zagreb index ...
Fei Deng +4 more
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Topological Indices of H-Naphtalenic Nanosheet
Open Chemistry, 2018 In chemical graph theory, a single numeric number related to a chemical structure is called a topological descriptor or topological index of a graph.
Idrees Nazeran +4 more
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Molecular Topology Index of a Zero Divisor Graph on a Ring of Integers Modulo Prime Power Order
Contemporary Mathematics and Applications (ConMathA)In chemistry, graph theory has been widely utilized to address molecular problems, with numerous applications in graph theory and ring theory within this field.
Didit Satriawan +4 more
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GTI-space : the space of generalized topological indices [PDF]
, 2008 A new extension of the generalized topological indices (GTI) approach is carried out torepresent 'simple' and 'composite' topological indices (TIs) in an unified way.
Matamala, Adelio R. +2 more
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Graph-Theoretical Approach for Predicting Physicochemical Properties of Stiff-Person Syndrome Drugs. [PDF]
ChemistryOpenGraph‐theoretical descriptors derived from M‐polynomials are integrated with quantitative structure–property relationship modeling and machine learning to uncover structure–property relationships of drugs used in stiff‐person syndrome. Strong correlations between degree‐based topological indices and key physicochemical properties are revealed ...
Ali J, Ali Y, Malik MA, Shang Y.
europepmc +2 more sources
On hyper-Zagreb index conditions for hamiltonicity of graphs [PDF]
, 2022 summary:During the last decade, several research groups have published results on sufficient conditions for the hamiltonicity of graphs by using some topological indices. We mainly study hyper-Zagreb index and some hamiltonian properties.
Zhou, Qiannan, Lu, Yong
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Hyper-Zagreb indices of graphs and its applications [PDF]
, 2021 The first and second Hyper-Zagreb index of a connected graph $G$ is defined by $HM_{1}(G)=\sum_{uv \in E(G)}[d(u)+d(v)]^{2}$ and $HM_{2}(G)=\sum_{uv \in E(G)}[d(u).d(v)]^{2}$. In this paper, the first and second Hyper-Zagreb indices of certain graphs are
Girish V. RAJASEKHARAİAH +3 more
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Topological Properties of Degree-Based Invariants via M-Polynomial Approach
Journal of Mathematics, 2022 Chemical graph theory provides a link between molecular properties and a molecular graph. The M-polynomial is emerging as an efficient tool to recover the degree-based topological indices in chemical graph theory.
Samirah Alsulami +4 more
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Journal of Function Spaces, 2022 Our objective is to compute the neighborhood degree-based topological indices via NM-polynomial for starphene. In the neighborhood degree-based topological indices, we compute the third version of the Zagreb index; neighborhood second Zagreb index ...
Deeba Afzal +5 more
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