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Maximal τ-Critical Linear Hypergraphs

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Abstract.

 A construction using finite affine geometries is given to show that the maximum number of edges in a τ-critical linear hypergraph is (1−o(1))τ2. This asymptotically answers a question of Roudneff [14], Aharoni and Ziv [1].

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, 1409 W. Green St., Urbana, IL 61801, USA. e-mail: z-furedi@math.uiuc.edu, , , , , , US

    Zoltán Füredi

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  1. Zoltán Füredi
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Received: June 28, 1999 Final version received: October 22, 1999

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Füredi, Z. Maximal τ-Critical Linear Hypergraphs. Graphs Comb 17, 73–78 (2001). https://doi.org/10.1007/s003730170056

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  • DOI: https://doi.org/10.1007/s003730170056

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