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Journal of Combinatorial Theory Series B
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Journal of Combinatorial Theory Series B
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Onk-Critical Connected Line Graphs

On \(k\)-critical connected line graphs
descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1998 English Publisher:Elsevier BVJournal:Journal of Combinatorial Theory, Series B, volume 74, pages 1-7 (issn: 0095-8956, Copyright policy )
Authors: Matthias Kriesell;

doi: 10.1006/jctb.1998.1823

Onk-Critical Connected Line Graphs

Abstract

We show that any line graph contains a set of three vertices which is not included in a smallest separating vertex set.

Related Organizations
Keywords

line graph, Connectivity, Computational Theory and Mathematics, connectivity, \(k\)-critical connected, Discrete Mathematics and Combinatorics, Theoretical Computer Science

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
4
Average
Top 10%
Average
hybrid