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Electronic Notes in Discrete Mathematics
Article . 2006 . Peer-reviewed
License: Elsevier TDM
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Article . 2006
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https://dx.doi.org/10.1016/j.e...
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Squares of Intersection Graphs and Induced Matchings

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2006 English Publisher:Elsevier BVJournal:Electronic Notes in Discrete Mathematics, volume 24, pages 223-230 (issn: 1571-0653, Copyright policy )
Authors: Yury L. Orlovich; P. V. Skums;

doi: 10.1016/j.endm.2006.06.033

Squares of Intersection Graphs and Induced Matchings

Abstract

Abstract We consider the squares of intersection graphs of hypergraphs and simple graphs. The Berge-type characterization for squares of intersection graphs of hypergraphs is obtained. The analogue of Whitney theorem for squares of intersection graphs of trees is proved. Using the connection between induced matchings of graph and independent sets of square of line graph, new polynomial solvable cases for the weighted induced matching problem are obtained.

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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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