On Maximal Unbordered Factors

  title={On Maximal Unbordered Factors},
  author={Gregory Kucherov and Alexander Loptev and Tatiana A. Starikovskaya},
Given a string S of length n, its maximal unbordered factor is the longest factor which does not have a border. In this work we investigate the relationship between n and the length of the maximal unbordered factor of S. We prove that for the alphabet of size σ ≥ 5 the expected length of the maximal unbordered factor of a string of length n is at least 0.99n (for sufficiently large values of n). As an application of this result, we propose a new algorithm for computing the maximal unbordered… CONTINUE READING

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