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THE last year and a half has brought a rapid sequence of reversals in the Obama administration's policy toward oil and gas exploration on public lands and in United States waters.
A shortest sequence of reversals sorting a permutation is called an optimal sorting sequence.
The score of a sequence of reversals is still given by the sum of the scores of its reversals.
The length of such a sequence of reversals is called reversal distance, denoted by d π, π d ) (or simply d, when π d = ι n ).
The traditional SPSR algorithms for the HP model however output just one optimal sequence of reversals, while the space of optimal solutions can be huge.
The score of a sequence of reversals is bounded by k, that is, each sorting sequence in a near-perfect trace has at most k breaking reversals.
Similar(31)
Let s = ρ1 ρ2... ρ i be a valid i-sequence of reversals for a permutation π.
Henceforth we will generally use simply the term sequence or i-sequence to refer to an optimal sequence or optimal i-sequence of reversals.
If ρ1 ρ2... ρ i is a valid i-sequence of reversals for a permutation π, then π ∘ ρ1 ρ2... ρ i denotes the consecutive application of the reversals ρ1, ρ2,... ρ i in the order in which they appear.
Inversely, none of these sequences of reversals is equivalent to {1}{2,3,4}{1,2,3} because the reversals {1,2,3} and {2,3,4} overlap.
The reversal distance and optimal sequences of reversals to transform a genome into another are useful tools to analyse evolutionary scenarios.
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