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Table 3 Average difference and ratio between scores

From: On the rank-distance median of 3 permutations

Size Instances D ex −D AS D ex /D AS R AS −R ex R AS /R ex
12–50 117 0.21 1.03 0.47 1.04
100 10 0 1 0 1
200 8 0 1 0 1
300 10 0 1 0.1 1
500 6 0 1 0 1
All sizes 151 0.17 1.02 0.37 1.04
  1. We analyze the 151 instances where the exact algorithm produced genomes and ASMedian-linear executed within the resource bounds. D ex (resp. R ex ) is the DCJ score (resp. rank score) of the solution generated by the exact algorithm. D AS (resp. R AS ) is the DCJ score (resp. rank score) of the solution generated by ASMedian-linear. Each entry shows the average value for all instances of the corresponding size (first column). The number of instances in each size range are shown in the “Instances” column. Notice that all scores are very close. The average difference never surpasses 0.5, and the average ratio is always within 4% of 1. Since the exact algorithm produces optimum rank scores and ASMedian-linear produces optimum DCJ scores, we always use the smaller score as reference. Therefore, all differences are non-negative and all ratios are greater than or equal to 1