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Graphs and Combinatorics
Article . 1991 . Peer-reviewed
License: Springer TDM
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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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Article . 1991
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Perfect graph decompositions

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1991 English Publisher:Springer Science and Business Media LLCJournal:Graphs and Combinatorics, volume 7, pages 89-93 (issn: 0911-0119, eissn: 1435-5914, Copyright policy )
Authors: Zsolt Tuza;

doi: 10.1007/bf01789465

Perfect graph decompositions

Abstract

Proved are three theorems presenting upper and lower bounds of the minimum number of perfect subgraphs covering or partitioning either the vertex set or the edge set of a given graph. The weighted versions of both cases are studied, too. All the theorems are based on four lemmas, one of which being proved and published by the author in 1986.

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Keywords

Extremal problems in graph theory, bound, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), partitioning, weight, decompositions, bounds, covering

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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.
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