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Complementary Topological Indices

Match Communications in Mathematical and in Computer Chemistry
An edge of a graph can be geometrically represented by points (dr, ds) and (ds,dr) in a 2D coordinate system, where coordinates are, obviously, the degrees of the edge’s end-vertices. Recently, using such a geometrical point of view of a graph edge, a couple of topological invariants were put forward.
Boris Furtula, Mert Sinan Oz
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The physical meaning of topological indices

Computers & Chemistry, 1991
Abstract A handicap in using topological indices for QSAR is the lack of adequate provisions for specifying the nature of graph vertices (i.e. accounting for heteroatoms) or of graph edges (i.e. accounting for multiple bonds). Analysis of seven topological indices (i.e.
Jan K. Labanowski   +2 more
openaire   +1 more source

On the topological indices and graph operation

Discrete Mathematics, Algorithms and Applications
As we know that some chemically interesting graphs can be obtained by different graph operations on some general or particular graphs, it is important to study such graph operations in order to understand how it is related to the corresponding topological indices of the original graphs. In [A. Miličević, A. Nikolić and S.
Hajar Shooshtari   +2 more
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Some topological indices in fuzzy graphs

Journal of Intelligent & Fuzzy Systems, 2019
A fuzzy graph is one of the versatile application tools in the field of mathematics, which allows the user to easily describe the fuzzy relation between any objects. The nature of fuzziness is favorable for any environment, which supports to predict the problem and solving it.
Shriram Kalathian   +3 more
openaire   +1 more source

Topological Indices:  Their Nature and Mutual Relatedness

Journal of Chemical Information and Computer Sciences, 2000
We calculated 202 molecular descriptors (topological indices, TIs) for two chemical databases (a set of 139 hydrocarbons and another set of 1037 diverse chemicals). Variable cluster analysis of these TIs grouped these structures into 14 clusters for the first set and 18 clusters for the second set.
Subhash C. Basak   +3 more
openaire   +3 more sources

On Interpretation of Well-Known Topological Indices

Journal of Chemical Information and Computer Sciences, 2001
Many topological indices lack an interpretation in terms of simple physicochemical quantities. We have reexamined the structural interpretation of well-known topological indices: the connectivity index (1)chi, the Wiener index W, and the Hosoya topological index Z.
Milan Randic, Jure Zupan
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On Topological Indices of Graph Transformation

International Journal of Applied and Computational Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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More on Topological Indices and Their Reciprocals

MATCH – Communications in Mathematical and in Computer Chemistry
Summary: We show how Schwitzer inequality allows us to find inequalities relating an additive descriptor of the form \(D_p(G)=\sum_{i=1}^N c_i^p\) to its reciprocal \(D_{-p}(G)=\sum_{i=1}^N c_i^{-p}\). We look at three cases (the inverse degree, the Kirchhoff, and the multiplicative degree-Kirchhoff indices) where \(p=1\) and where, of the two \(D_1(G)\
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Topological Indices of Dopamine

open access: yes, 2020
In the last seven decades, there has been an increasing interest in topological graph indices due to their practical applications in many areas of science including chemistry, pharmacology, physics and biology.
Yurttaş, Güneş Aysun
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Resolving topological indices of graphs

2022
Sooryanarayana, Badekara   +3 more
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