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On Topological Indices and Their Reciprocals
Match Communications in Mathematical and in Computer Chemistry, 2023 Summary: If \(TI(G)=\sum\limits_\gamma F(\gamma)\) is a topological index of the graph \(G \), then \(RTI(G)=\sum\limits_\gamma \frac{1}{F(\gamma)}\) is the respective reciprocal index. In contemporary mathematical chemistry, a large number of pairs \((TI,RTI)\) have been separately introduced and studied, but their mutual relations eluded attention ...
Ivan Gutman +2 more
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The usefulness of topological indices
Information Sciences, 2022 Peer ...
Yuede Ma +6 more
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Topological Indices of Proteins [PDF]
Scientific Reports, 2019 AbstractProtein molecules can be approximated by discrete polygonal chains of amino acids. Standard topological tools can be applied to the smoothening of the polygons to introduce a topological classification of folded states of proteins, for example, using the self-linking number of the corresponding framed curves.
Melnikov, Dmitry +2 more
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On the topological matrix and topological indices [PDF]
AKCE International Journal of Graphs and Combinatorics, 2020 The topological matrix of a graph are indexed by . If then the of is 1 and the of is 0 for otherwise. In this paper, an upper bound for this topological matrix is found and the weighted topological matrix is defined. Also, some inequalities for the topological energy and the weighted Laplacian topological energy and of are obtained.
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Machine‐Learning Spectral Indicators of Topology [PDF]
Advanced Materials, 2022 AbstractTopological materials discovery has emerged as an important frontier in condensed matter physics. While theoretical classification frameworks have been used to identify thousands of candidate topological materials, experimental determination of materials’ topology often poses significant technical challenges. X‐ray absorption spectroscopy (XAS)
Nina Andrejevic +9 more
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Affine Graphs and their Topological Indices [PDF]
Journal of Mathematics, 2021 Graphs are essential tools to illustrate relationships in given datasets visually. Therefore, generating graphs from another concept is very useful to understand it comprehensively. This paper will introduce a new yet simple method to obtain a graph from any finite affine plane.
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On Certain Aspects of Topological Indices
Journal of Mathematics, 2021 A topological index, also known as connectivity index, is a molecular structure descriptor calculated from a molecular graph of a chemical compound which characterizes its topology. Various topological indices are categorized based on their degree, distance, and spectrum.
Tanweer Ul Islam +4 more
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On Certain Topological Indices of Graphs
Czechoslovak Mathematical Journal, 2022 In this paper we give new bounds for a several vertex-based and edge-based topological indices of graphs: Albertson irregularity index, degree variance index, Mostar and the first Zagreb index. Moreover, we give a new upper bound for the energy of graphs through IRB-index.
Avdullahu, Arber, Filipovski, Slobodan
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New Bounds for Some Topological Indices
International Journal of Foundations of Computer Science, 2022 The biological, chemical, and structural properties of molecular graphs can be predicted by using topological indices. The lower and upper bounds of fundamental topological indices are well-studied. In this paper, by using comparison theorem for integrals, we obtain new bounds for some topological indices namely, Randić index, Sombor index, harmonic ...
Havva Kirgiz, Ayse Dilek Maden
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Application Of Some Topological Indices In Nover Topologized Graphs
Neutrosophic Sets and Systems, 2023 In this paper Nover top Z1 and Z2 index and Nover top H − index, Rd − index, GA − index, CON − index are investigated and some of the related theorems are discussed.These indices are also calculated for some specific types of Nover top graphs such as 2 − regular , K2 and K2,2 Nover Top ...
G. Muthumari, R. Narmada Devi
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