Some Improved Bounds on Small Strong -Nets

نویسندگان

  • Snehasish Mukherjee
  • Aniket Basu Roy
چکیده

In this paper we present some new constructions of small strong -nets for rectangles, strips and wedges based on simple geometric arguments. For rectangular range spaces we improve upon the earlier known bound on for net set size of 2. For strips and wedges for which only lower bounds were known, we bound from above for net set sizes of 2, 3 and 4. Further, we show that the net constructed for strips are also nets for wedges for net size of 3 and 4.

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تاریخ انتشار 2011