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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 Journal of Graph The...arrow_drop_down
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
Journal of Graph Theory
Article . 2022 . Peer-reviewed
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Subdivisions of maximal 3‐degenerate graphs of order d+1 $d+1$ in graphs of minimum degree d $d$

descriptionPublicationkeyboard_double_arrow_right Article 11 Mar 2022 English Publisher:WileyJournal:Journal of Graph Theory, volume 101, pages 142-160 (issn: 0364-9024, eissn: 1097-0118, Copyright policy )
Authors: Ajit A. Diwan;

doi: 10.1002/jgt.22818

Subdivisions of maximal 3‐degenerate graphs of order d+1 $d+1$ in graphs of minimum degree d $d$

Abstract

AbstractWe prove that every graph of minimum degree at least contains a subdivision of some maximal 3‐degenerate graph of order . This generalizes the classic results of Dirac () and Pelikán (). We conjecture that for any planar maximal 3‐degenerate graph of order , every graph of minimum degree at least contains a subdivision of . We verify this in the case is and .

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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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