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.

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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