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Table 1 The running time of Jesse with different equations in ER graphs of order 50 and size 500, for graphlets of different orders

From: Optimising orbit counting of arbitrary order by equation selection

 

Random equations

Fewer RHS terms

More RHS terms

RHS terms with fewer arguments

RHS terms with more arguments

4

0.018 ± 0.004

0.017 ± 0.004

0.017 ± 0.004

0.017 ± 0.004

0.015 ± 0.003

5

0.32 ± 0.02

0.32 ± 0.01

0.30 ± 0.02

0.22 ± 0.01

0.36 ± 0.01

6

11.0 ± 0.3

10.9 ± 0.2

10.5 ± 0.3

6.9 ± 0.2

15.6 ± 1.4

7

283 ± 13

278 ± 20

279 ± 20

180 ± 3

380 ± 7

  1. All measurements were repeated 20 times. The average and standard deviation of the resulting running times is shown