Properties of the multiway discrepancy
  Some properties of the multiway discrepanc of rectangular matrices of nonnegative entries are discussed. We are able to prove the continuity of this discrepancy, as well as some statements about the multiway discrepancy of some special matrices and graphs. We also conjecture that the k-way discrepancy is monotonic in k. 
Marianna Bolla, Edward Kim, Cheng Wai Koo
math.CO