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Some Remarks on Obligatory Subsytems of Uncountably Chromatic Triple Systems

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Dedicated to the memory of Paul Erdős

An obligatory triple system is one that embeds into every triple system of uncountable chromatic number. It is proved that a triple system is obligatory iff every 2-connected component of it is. Obligatory triple systems are tripartite but not vice versa.

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Authors and Affiliations

  1. Department of Computer Science, Eötvös University; Budapest, Hungary; E-mail: kope@cs.elte.hu, , , , , , HU

    Péter Komjáth

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  1. Péter Komjáth
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Received January 13, 2000

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ID="*" Research partially supported by Hungarian National Research Grant T 19367.

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Komjáth, P. Some Remarks on Obligatory Subsytems of Uncountably Chromatic Triple Systems. Combinatorica 21, 233–238 (2001). https://doi.org/10.1007/s004930100021

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  • DOI: https://doi.org/10.1007/s004930100021

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