• DOI:10.1016/j.ejc.2015.08.004
Corpus ID: 11706332

A note on the Manickam-Miklós-Singhi conjecture for vector spaces

@article{Ihringer2016ANO,
  title={A note on the Manickam-Mikl{\'o}s-Singhi conjecture for vector spaces},
  author={Ferdinand Ihringer},
  journal={Eur. J. Comb.},
  year={2016},
  volume={52},
  pages={27-39}
}

Ferdinand Ihringer

Published 2016

Computer Science, Mathematics

Eur. J. Comb.

Let V be an n -dimensional vector space over a finite field with q elements. Define a real-valued weight function on the 1 -dimensional subspaces of V such that the sum of all weights is zero. Let the weight of a subspace S be the sum of the weights of the 1 -dimensional subspaces contained in S . In 1988 Manickam and Singhi conjectured that if n ? 4 k , then the number of k -dimensional subspaces with nonnegative weight is at least the number of k -dimensional subspaces on a fixed 1… CONTINUE READING

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