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Analysis of genome rearrangements in multiple genomes corresponds to the following Multiple Breakpoint Distance problem: Given a set of permutations...

Analysis of genome rearrangements in multiple genomes corresponds to
the following Multiple Breakpoint Distance problem:
Given a set of permutations p1, . . . , pk, find an ancestral permutation such
that ∑br(pi, p) is minimal, where br(pi, p) is the number of breakpoints
between pi and p.
Design a greedy algorithm for the Multiple Breakpoint Distance problem
and evaluate its approximation ratio.
Hint: Breakpoint distance satisfies the triangle equality.

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