The Size of 3-Cross-Free Families

We give a short and simple proof for the theorem that the size of a 3-cross-free family is linear in the size of the groundset. A family is 3-cross-free if it has no 3 pairwise crossing members.

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Received July 1, 1998


ID="*" Research supported by the Netherlands Organization for Scientific Research (NWO) and the OTKA T 029772 project.

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Fleiner, T. The Size of 3-Cross-Free Families. Combinatorica 21, 445–448 (2001).

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  • AMS Subject Classification (2000) Classes:  05D05, 06A07