Remarks on Frankl's conjecture
Combinatorics
2016-03-04 v1 Discrete Mathematics
Abstract
First a few reformulations of Frankl's conjecture are given, in terms of reduced families or matrices, or analogously in terms of lattices. These lead naturally to a stronger conjecture with a neat formulation which might be easier to attack than Frankl's. To this end we prove an inequality which might help in proving the stronger conjecture.
Cite
@article{arxiv.1603.01215,
title = {Remarks on Frankl's conjecture},
author = {Francesco Marigo and Davide Schipani},
journal= {arXiv preprint arXiv:1603.01215},
year = {2016}
}