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Bulletin Classe des sciences mathematiques et natturalles
Article . 2006 . Peer-reviewed
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Bulletin Classe des sciences mathematiques et natturalles
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Article . 2006
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https://dx.doi.org/10.2298/bma...
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Graph connectivity and Wiener index

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2006 English Publisher:National Library of SerbiaJournal:Bulletin: Classe des sciences mathematiques et natturalles, volume 133, pages 1-5 (issn: 0561-7332, Copyright policy )
Authors: Gutman, I.; Zhang, S.;

doi: 10.2298/bmat0631001g

Graph connectivity and Wiener index

Abstract

The graphs with a given number n of vertices and given (vertex or edge) connectivity k, having minimum Wiener index are determined. In both cases this is Kk + (K1 U Kn-k-1), the graph obtained by connecting all vertices of the complete graph Kk with all vertices of the graph whose two components are Kn-k-1 and K1. AMS Mathematics Subject Classification (2000): 05C12, 05C40 05C35.

Related Organizations
Keywords

Connectivity, Extremal problems in graph theory, Distance in graphs, extremal graphs, vertex connectivity, edge connectivity

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    influence
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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!
5
Average
Average
Average
gold