On the minimum degree of minimal Ramsey graphs


Szabó, Tibor ; Zumstein, Philipp ; Zürcher, Stefanie


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DOI: https://doi.org/10.1002/jgt.20445
URL: https://ub-madoc.bib.uni-mannheim.de/41425
Additional URL: https://www.researchgate.net/publication/220548701...
URN: urn:nbn:de:bsz:180-madoc-414258
Document Type: Article
Year of publication: 2010
The title of a journal, publication series: Journal of Graph Theory
Volume: 64
Issue number: 2
Page range: 150-164
Place of publication: Hoboken, NJ
Publishing house: Wiley
ISSN: 0364-9024
Publication language: English
Institution: Zentrale Einrichtungen > University Library
Subject: 004 Computer science, internet
510 Mathematics
Classification: MSC: 05C15 , 05C35 , 05C55,
Subject headings (SWD): Graphfärbung , Ramsey-Theorie , Extremalproblem
Keywords (English): minimal Ramsey graphs ; minimum degree ; Ramsey-equivalent ; Ramsey-seperable ; Ramsey theory
Abstract: We investigate the minimization problem of the minimum degree of minimal Ramsey graphs, initiated by Burr, Erdős, and Lovász. We determine the corresponding graph parameter for numerous bipartite graphs, including bi-regular bipartite graphs and forests. We also make initial progress for graphs of larger chromatic number. Numerous interesting problems remain open.

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Szabó, Tibor ; Zumstein, Philipp ORCID: 0000-0002-6485-9434 ; Zürcher, Stefanie (2010) On the minimum degree of minimal Ramsey graphs. Open Access Journal of Graph Theory Hoboken, NJ 64 2 150-164 [Article]
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