Graphs and Combinatorics

, Volume 16, Issue 1, pp 115–116

Frankl's Conjecture Is True for Lower Semimodular Lattices

  • Jürgen Reinhold

DOI: 10.1007/s003730050008

Cite this article as:
Reinhold, J. Graphs Comb (2000) 16: 115. doi:10.1007/s003730050008


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.

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