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Journal of Mathematical Chemistry, ISSN 0259-9791, 2015, Volume 53, Issue 4, pp. 1184 - 1190
In 1972, within a study of the structure-dependency of total -electron energy (), it was shown that depends on the sum of squares of the vertex degrees of the... 
Zagreb index | Topological index | Forgotten index | First Zagreb index | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MOLECULAR-ORBITALS | GRAPH-THEORY | CHEMISTRY, MULTIDISCIPLINARY
Journal Article
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, ISSN 0340-6253, 2017, Volume 78, Issue 1, pp. 17 - 100
Let G be a graph with vertex set V(G) and edge set E(G). Let d(i) be the degree of the vertex v(i) is an element of V(G). The first and second Zagreb indices,... 
EXTREMAL GRAPHS | CHEMISTRY, MULTIDISCIPLINARY | SHARP UPPER-BOUNDS | INDEPENDENCE NUMBER | 1ST | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | TREES | MOLECULAR-ORBITALS | UNICYCLIC GRAPHS | SPECTRAL-RADIUS | TOPOLOGICAL INDEXES | BIPARTITE GRAPHS
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2015, Volume 268, pp. 1259 - 1266
Mathematical properties of many topological indices are investigated. Knor et al. gave an upper bound for the Balaban index of -regular graphs on vertices and... 
The (revised) Szeged index | Fullerene graph | Sum-Balaban index | Regular graph | CONNECTIVE ECCENTRICITY INDEX | MATHEMATICS, APPLIED | BICYCLIC GRAPHS | WIENER POLARITY INDEX | 1ST ZAGREB INDEX | TRICYCLIC GRAPHS | GENERAL RANDIC INDEX | UNICYCLIC GRAPHS | COMMON NEIGHBORHOOD GRAPHS | MOLECULAR GRAPHS | TOPOLOGICAL INDEXES
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 06/2017, Volume 302, pp. 111 - 121
The general Randić index of a graph is defined as where ( ) denotes the degree of a vertex in and is a real number. In this paper, we determine the maximum... 
Chemical tree | Tree | Randić index | General Randić index | MATHEMATICS, APPLIED | Randic index | General Randic index | GEOMETRIC-ARITHMETIC INDEX | FIXED NUMBER | BICYCLIC GRAPHS | SUM-CONNECTIVITY INDEX | CHEMICAL TREES | WIENER INDEX | ZAGREB INDEXES | HARARY INDEX | UNICYCLIC GRAPHS | TOPOLOGICAL INDEXES
Journal Article
1996, Memoirs of the American Mathematical Society, ISBN 0821804405, Volume no. 571., vii, 184
Book
Applied Mathematics and Computation, ISSN 0096-3003, 08/2014, Volume 240, pp. 213 - 228
There are certain types of topological indices such as degree based topological indices, distance based topological indices and counting related topological... 
Silicate network | ABC index | Hexagonal network | Topological index | Honeycomb network | Oxide network | MATHEMATICS, APPLIED | CONNECTIVITY INDEX | Silicates | Chemical properties | Networks | Computation | Chains | Oxides | Topology | Chemical compounds | Counting
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 11/2015, Volume 270, pp. 142 - 147
Let , and be, respectively, the Wiener, Szeged, PI, and Wiener polarity indices of a molecular graph . Let and be the first and second Zagreb indices of . We... 
Zagreb index | Distance–based indices | Degree–based indices | Wiener index | Topological index | Szeged index | Degree-based indices | Distance-based indices | MATHEMATICS, APPLIED | NUMBER | ENERGY | WIENER POLARITY INDEX | GRAPH-THEORY | TREES | DIFFERENCE | MOLECULAR-ORBITALS | 1ST ZAGREB INDEX | VERTICES
Journal Article
Match, ISSN 0340-6253, 2010, Volume 63, Issue 1, pp. 181 - 198
The eccentric connectivity index, proposed by Sharma, Goswami and Madan, has been employed successfully for the development of numerous mathematical models for... 
DESCRIPTOR | MOLECULAR TOPOLOGICAL INDEX | DISTANCE | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ANTI-HIV ACTIVITY | HYDROCARBONS | ORBITALS | GRAPH-THEORY | CHEMISTRY, MULTIDISCIPLINARY | PREDICTION
Journal Article
Applicable Analysis and Discrete Mathematics, ISSN 1452-8630, 10/2017, Volume 11, Issue 2, pp. 304 - 313
Let 𝐺 be a graph with vertex set 𝑉 and edge set 𝐸. Let 𝑑 be the degree of the vertex 𝑣 of 𝐺. The inverse degree, Randić index, and harmonic index of 𝐺... 
Discrete mathematics | Graph theory | Mathematical theorems | Topology | Vertices | Inverse degree | Harmonic index | Degree (of vertex) | Randić index | MATHEMATICS | MATHEMATICS, APPLIED | Randic index | DIAMETER | CONNECTIVITY | TOPOLOGICAL INDEXES
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 12/2014, Volume 178, pp. 83 - 88
The classical first and second Zagreb indices of a graph are defined as and , where is the degree of the vertex of . So far, the difference of and has not been... 
Zagreb index | Degree (of vertex) | Second Zagreb index | First Zagreb index | MATHEMATICS, APPLIED | MOLECULAR-ORBITALS | INEQUALITY | SUM | SQUARES | GRAPH-THEORY | TOPOLOGICAL INDEXES
Journal Article
Match, ISSN 0340-6253, 2018, Volume 79, Issue 3, pp. 779 - 794
The concept of Gutman index SGut(G) of a connected graph G was introduced in 1994. The Steiner distance in a graph, introduced by Chartrand et al. in 1989, is... 
UPPER-BOUNDS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | TREES | WIENER INDEX | DEGREE DISTANCE | MINIMUM DEGREE | CHEMISTRY, MULTIDISCIPLINARY | TOPOLOGICAL INDEXES | GRAPHS
Journal Article
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, ISSN 0340-6253, 2018, Volume 79, Issue 1, pp. 5 - 54
Based on the definition of the general geometric-arithmetic index, this article introduces several new geometric-arithmetic indices (Part One). In Part Three,... 
GRAPH | ALCOHOLS | COMBUSTION | QSPR | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | HEATS | ACIDS | VERSION | CHEMISTRY, MULTIDISCIPLINARY | TOPOLOGICAL INDEXES
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 2009, Volume 157, Issue 13, pp. 2828 - 2835
The recently introduced atom–bond connectivity ( ) index has been applied up to now to study the stability of alkanes and the strain energy of cycloalkanes.... 
Extremal values | Atom–bond connectivity index | Chemical trees | Topological indices | Atom-bond connectivity index | WIENER INDEXES | MATHEMATICS, APPLIED | Universities and colleges
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 03/2016, Volume 277, pp. 142 - 153
Journal Article
Chemosphere, ISSN 0045-6535, 06/2018, Volume 201, pp. 417 - 424
The quantitative structure–activity relationship (QSAR) model is an effective alternative to traditional experimental toxicity testing, which is undoubtedly... 
Candida albicans | Ionic liquids | QSAR | Antifungal toxicity | Norm index | IMIDAZOLIUM IONIC LIQUIDS | OXIDATIVE STRESS | TOXICITY | 1-OCTYL-3-METHYLIMIDAZOLIUM BROMIDE | ENVIRONMENTAL SCIENCES | VIBRIO-FISCHERI | QSPR MODELS | ANTIMICROBIAL ACTIVITIES | STAPHYLOCOCCUS-AUREUS | PROPERTY RELATIONSHIP METHOD | TOPOLOGICAL INDEXES | Index Medicus
Journal Article
Ars Mathematica Contemporanea, ISSN 1855-3966, 2016, Volume 11, Issue 2, pp. 327 - 352
Journal Article
Journal of Chemical Physics, ISSN 0021-9606, 2005, Volume 122, Issue 1, pp. 14109 - 14109
Journal Article