A Problem on Track Runners

نویسندگان

  • Adrian Dumitrescu
  • Csaba D. Tóth
چکیده

Consider the unit circle C and a circular arc A of length l = |A| < 1. It is shown that there exists k = k(l) ∈ N, and a schedule for k runners with k distinct but constant speeds so that at any time t ≥ 0, at least one of the k runners is not in A.

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تاریخ انتشار 2017