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Sorting by Prefix Reversal (or Flipping Pancakes) approximation

Does anyone know how to prove that the Sorting by Prefix Reversal (or Flipping Pancakes) is a 3 as well as a 4-approximation?

algorithms

Could you please give us some information on how this is related to bioinformatics? Thank you!

Yes, I am a beginner and I am reading the book "An Introduction to Bioinformatics Algorithms", in the session about Genome Rearrangements there is a short explanation about the algorithm, but nothing about how to prove that it is a 3 as well as a 4-approximation.

A longer excerpt would give us better context.

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