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Random Structures and Algorithms
Article . 1991 . Peer-reviewed
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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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Excluding induced subgraphs: quadrilaterals

Excluding induced subgraphs: Quadrilaterals
descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1991 English Publisher:WileyJournal:Random Structures & Algorithms, volume 2, pages 55-71 (issn: 1042-9832, eissn: 1098-2418, Copyright policy )
Authors: Angelika Steger; Hans Jürgen Prömel;

doi: 10.1002/rsa.3240020106

Excluding induced subgraphs: quadrilaterals

Abstract

AbstractIn this note we determine the structure of “almost all” graphs not containing a quadrilateral (i.e., a cycle of length four) as an induced subgraph. In particular, it turns out that there are asymptotically twice as many graphs not containing an induced quadrilateral than there are bipartite graphs.

Related Organizations
Keywords

Extremal problems in graph theory, bipartite graphs, Structural characterization of families of graphs, quadrilateral, Paths and cycles

  • BIP!
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    citations
    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).
    		 47
    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.
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    influence
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
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!
47
Top 10%
Top 10%
Average
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