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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,... 
PENDENT VERTICES | EXTREMAL GRAPHS | CHEMISTRY, MULTIDISCIPLINARY | SHARP UPPER-BOUNDS | INDEPENDENCE NUMBER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MOLECULAR-ORBITALS | DEGREE SEQUENCES | CONNECTED GRAPHS | UNICYCLIC GRAPHS | TOPOLOGICAL INDEXES | BIPARTITE GRAPHS
Journal Article
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
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
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-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
Applied Mathematics and Computation, ISSN 0096-3003, 05/2013, Volume 219, Issue 17, pp. 8973 - 8978
One of the general requirements for any topological index is that similar molecules have near-lying -values, which is referred to as “smoothness”. Curiously,... 
Graphs | Topological indices | Structural graph analysis | MATHEMATICS, APPLIED | 1ST | BOUNDS | ATOM-BOND CONNECTIVITY | DESCRIPTORS | AUGMENTED ZAGREB INDEX | ALKANES | Trees | Titanium | Mathematical models | Topology | Computation | Smoothness
Journal Article
Computational Materials Science, ISSN 0927-0256, 03/2015, Volume 99, pp. 73 - 80
Nanoclusters create the possibility of designing novel properties and devices based on finite structures, with small dimensions. Clusters are of interest for... 
Nanocluster | Gold | Topological index | Platinum | Asymptotic limits | WIENER INDEXES | MATERIALS SCIENCE, MULTIDISCIPLINARY | NANOCRYSTALS | ALGORITHM | INFINITE FAMILY | NANOSTRUCTURES | DISTANCE MATRIX | KIRCHHOFF | FULLERENES | CLUSTERS | SZEGED INDEX | Asymptotic properties | Mathematical analysis | Clusters | Mathematical models | Nanostructure | Topology | Atomic structure | Devices | Power law
Journal Article
Croatica Chemica Acta, ISSN 0011-1643, 06/2003, Volume 76, Issue 2, pp. 113 - 124
The original formulation of the Zagreb indices is presented and their relationship to topological indices such as self-returning walks, Platt,... 
Connectivity indices | Zagreb indices | Molecular graphs | QSPR | VERTEX-CONNECTIVITY INDEX | NEURAL NETWORKS | HYDROCARBONS | COMPLEMENT-INHIBITORY ACTIVITY | MOLECULAR CONNECTIVITY | GRAPH-THEORY | DESCRIPTORS | CHEMISTRY, MULTIDISCIPLINARY | connectivity indices | QSAR | molecular graphs | BOILING POINTS | TOPOLOGICAL INDEXES
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
Journal of Mathematical Chemistry, ISSN 0259-9791, 02/2019, Volume 57, Issue 2, pp. 609 - 615
The inverse problem for integer-valued topological indices is about the existence of a graph having its index value equal to a given integer. We solve this... 
Zagreb index | Hyper-Zagreb index | Forgotten index | Second Zagreb index | First Zagreb index | Secondary 05C90 | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Primary 05C09 | CHEMISTRY, MULTIDISCIPLINARY | TOPOLOGICAL INDEXES | Trees | Graphs | Inverse problems
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
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 01/2019, Volume 42, Issue 1, pp. 67 - 78
For a graph G=(V(G),E(G)), let d(u),d(v) be the degrees of the vertices u,v in G. The first and second Zagreb indices of G are defined as M1(G)=Sigma... 
Zagreb index | Multiplicative Zagreb index | Eulerian graphs | Extremal bounds | MATHEMATICS | ENERGY | EXTREMAL VALUES | CACTI | MOLECULAR-ORBITALS | SHARP BOUNDS | TOPOLOGICAL INDEXES | BIPARTITE GRAPHS | Organic chemistry | Computational chemistry | Graphs | Apexes
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
AIP Conference Proceedings, ISSN 0094-243X, 07/2017, Volume 1863, Issue 1
In this paper, we study with some graph descriptors also called topological indices. These descriptors are useful in determination of some properties of... 
Zagreb Indices | Graph | Topological Index | Graph Descriptor | Organic chemistry
Journal Article