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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