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Strong semimodular lattices and Frankl's conjecture

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Abstract.

In this paper, we show that Frankl's conjecture holds for strong semimodular lattices. The result is the first step to deal with the case of upper semimodular lattices.

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Authors and Affiliations

  1. Department of Computational Intelligence and Systems Science, Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology, 4259, Nagatsuta, Midori-ku, Yokohama, 226-8502, Japan, e-mail: abe@nkn.dis.titech.ac.jp, , , , , , JP

    Tetsuya Abe

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  1. Tetsuya Abe
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Received May 30, 2000; accepted in final form August 14, 2000.

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Abe, T. Strong semimodular lattices and Frankl's conjecture. Algebra univers. 44, 379–382 (2000). https://doi.org/10.1007/s000120050195

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  • DOI: https://doi.org/10.1007/s000120050195

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