Remarks on Frankl's conjecture
  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. 
Francesco Marigo and Davide Schipani
math.CO cs.DM