Graphs and Combinatorics

, Volume 16, Issue 1, pp 115–116 | Cite as

Frankl's Conjecture Is True for Lower Semimodular Lattices

  • Jürgen Reinhold


It is shown that every finite lower semimodular lattice L with |L|≥2 contains a join-irreducible element x such that at most |L|/2 elements yL satisfy yx.


Semimodular Lattice Lower Semimodular Lattice 
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Copyright information

© Springer-Verlag Tokyo 2000

Authors and Affiliations

  • Jürgen Reinhold
    • 1
  1. 1.Universität Hannover, Institut für Mathematik, Welfengarten 1, 30167 Hannover, Germany. e-mail: reinhold@math.uni-hannover.deDE

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