Results 1 to 10 of about 39,174 (128)
Energy of a digraph with respect to a VDB topological index
Special Matrices, 2022 Let DD be a digraph with vertex set VV and arc set EE. For a vertex uu, the out-degree and in-degree of uu are denoted by du+{d}_{u}^{+} and du−{d}_{u}^{-}, respectively.
Monsalve Juan, Rada Juan
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Eccentric sombor index of graphs and its role in the structure-property relationship analysis of polycyclic aromatic compounds [PDF]
Scientific ReportsThis article focuses on the eccentric Sombor index, a variant of the degree-based Sombor index in which vertex degrees are replaced by their eccentricities.
Balkishbanu Khaji +2 more
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Spectrum and energy of the Sombor matrix [PDF]
Vojnotehnički Glasnik, 2021 Introduction/purpose: The Sombor matrix is a vertex-degree-based matrix associated with the Sombor index. The paper is concerned with the spectral properties of the Sombor matrix. Results: Equalities and inequalities for the eigenvalues of the Sombor
Ivan Gutman
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Distance Based Topological Indices of Double graphs and Strong Double graphs
Ratio Mathematica, 2023 Topological index is a numerical representation of structure of graph. They are mainly classified as Distance and Degree based topological indices.
Keerthi G. Mirajkar +1 more
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Exponential second Zagreb index of chemical trees [PDF]
Transactions on Combinatorics, 2021 Cruz, Monsalve and Rada [Extremal values of vertex-degree-based topological indices of chemical trees, Appl. Math. Comput. 380 (2020) 125281] posed an open problem to find the maximum value of the exponential second Zagreb index for chemical ...
Selvaraj Balachandran, Tomas Vetrik
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On vertex and edge degree-based topological indices
Vojnotehnički Glasnik, 2023 Introduction/purpose: The entire topological indices (T Ient) are a class of graph invariants depending on the degrees of vertices and edges. Some general properties of these invariants are established.
Ivan Gutman
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Relating the ABC and harmonic indices [PDF]
Journal of the Serbian Chemical Society, 2014 The atom-bond connectivity (ABC) index is a much-studied molecular structure descriptor, based on the degrees of the vertices of the molecular graph.
Gutman Ivan, Zhong Lingping, Xu Kexiang
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Vertex-Edge-Degree-Based Topological Properties for Hex-Derived Networks
Complexity, 2022 A topological index can be focused on uprising of a chemical structure into a real number. The degree-based topological indices have an active place among all topological indices.
Ali Ahmad, Muhammad Imran
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ORDERING CATACONDENSED HEXAGONAL SYSTEMS WITH RESPECT TO VDB TOPOLOGICAL INDICES
Revista de Matemática: Teoría y Aplicaciones, 2017 In this paper we give a complete description of the ordering relations in the set of catacondensed hexagonal systems, with respect to a vertex-degree-based topological index. As a consequence, extremal values of vertex-degree-based topological indices in
Juan Rada
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Computing Eccentricity-Based Topological Indices of 2-Power Interconnection Networks
Journal of Chemistry, 2020 In a connected graph G with a vertex v, the eccentricity εv of v is the distance between v and a vertex farthest from v in the graph G. Among eccentricity-based topological indices, the eccentric connectivity index, the total eccentricity index, and the ...
Muhammad Imran +5 more
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