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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 2017
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Article . 2017
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https://dx.doi.org/10.22052/ij...
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Distance-Based Topological Indices and Double graph

Distance-based topological indices and double graph
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017Publisher:University of Kashan, Kashan
Authors: Jamil, M.;

doi: 10.22052/ijmc.2017.43073

Distance-Based Topological Indices and Double graph

Abstract

Summary: Let \(G\) be a connected graph, and let \(D[G]\) denote the double graph of \(G\). In this paper, we first derive closed-form formulas for different distance based topological indices for \(D[G]\) in terms of that of \(G\). Finally, as illustrative examples, these formulas are applied to several special kinds of graphs, such as, the complete graph, the path, and the cycle.

Related Organizations
Keywords

Wiener index, Applications of graph theory, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Harary index, double graph

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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