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Discussiones Mathematicae Graph Theory
Article . 1999 . Peer-reviewed
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Generalized Ramsey theory and decomposable properties of graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1999 English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae Graph Theory, volume 19, page 199 (issn: 1234-3099, eissn: 2083-5892, Copyright policy )
Authors: Stefan A. Burr; Michael S. Jacobson; Peter Mihók; Gabriel Semanisin;

doi: 10.7151/dmgt.1095

Generalized Ramsey theory and decomposable properties of graphs

Abstract

Summary: We translate Ramsey-type problems into the language of decomposable hereditary properties of graphs. We prove a distributive law for reducible and decomposable properties of graphs. Using it we establish some values of graph theoretical invariants of decomposable properties and show their correspondence to generalized Ramsey numbers.

Related Organizations
Keywords

generalized Ramsey numbers, Generalized Ramsey theory, hereditary properties, Structural characterization of families of graphs, graph theoretical invariants, decomposable properties

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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!
2
Average
Average
Average
Published in a Diamond OA journal