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Table 1 Comparison between the gap of [[1]]’s polynomial size integer programming model for the MPPEP-SNP versus the gap of the flow-based reduced model and its strengthening valid inequalities

From: A mixed integer linear programming model to reconstruct phylogenies from single nucleotide polymorphism haplotypes under the maximum parsimony criterion

Dataset Haplotypes SNPs GAP (%) GAP (%) Optimum MST
    [[1]] Flow-RM   Solution
Human chromosome Y 150 49 0.00 0.00 16 yes
Bacterial mtDNA 17 1510 26.04 20.83 96 no
Chimpanzee mtDNA 24 1041 20.63 20.63 63 yes
Chimpanzee chromosome Y 15 98 0.00 0.00 99 yes
Human mtDNA 40 52 24.66 1.37 73 no
Human mtDNA 395 830 22.64 7.55 53 no
Human mtDNA 13 390 12.50 6.25 48 no
Human mtDNA 44 405 6.98 4.65 43 no