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Graphs and Combinatorics

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

Frankl's Conjecture Is True for Lower Semimodular Lattices

  • Jürgen Reinhold

Abstract.

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.

Keywords

Semimodular Lattice Lower Semimodular Lattice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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