Some Remarks on Obligatory Subsytems of Uncountably Chromatic Triple Systems

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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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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  • AMS Subject Classification (2000) Classes:  05C15, 03E05