Algorithms and Data Structures 3 ( course 1 DL 481 ) Uppsala University – Spring 2018

نویسندگان

  • Pierre Flener
  • Di Yuan
  • Gustav Björdal
چکیده

An investment design 〈v, b, r〉, with v ≥ 2 and b ≥ r ≥ 1, is a matrix of v rows and b columns of 0-1 integer values such that each row sums to r, and the largest dot product between all pairs of rows is minimal. Equivalently, there are v subsets of size r within a given set of b elements, such that the largest intersection of any two of the v sets has minimal size. For example, the following figure shows two 〈10, 8, 3〉 investment designs, where grey cells represent value 1 and white cells represent value 0:

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تاریخ انتشار 2017