Table 2 Number and size of the control strategies identified by the different methods up to size 7 for the different steady states. Note that there is no control strategy up to size 4. \(s_1\) and \(s'_1\) denote the two steady states in \(\mathcal {S}_1\) and \(s_2\) and \(s'_2\) the two steady states in \(\mathcal {S}_2\)

Node control

\(| \mathcal {N}|\)

5

6

7

5

6

7

5

6

7

5

6

7

By direct percolation

0

0

60

0

0

32

0

14

2

0

14

2

Via trap spaces

2

0

0

0

8

12

0

22

14

2

0

0

Combined

2

0

0

0

8

12

0

22

14

2

0

0

Edge control

\(| \mathcal {E}|\)

5

6

7

5

6

7

5

6

7

5

6

7

By direct percolation

0

0

150

0

0

84

0

22

58

0

33

50

Via trap spaces

3

1

0

0

14

20

0

36

64

3

1

0

Combined

3

1

0

0

14

20

0

36

64

3

1

0

Node and edge control

\(| \mathcal {C}|\)

5

6

7

5

6

7

5

6

7

5

6

7

By direct percolation

0

0

12720

0

0

7040

0

1168

2608

0

1440

2048

Via trap spaces

80

16

0

0

704

2112

0

1872

4192

80

16

0

Combined

80

16

0

0

704

2112

0

1872

4192

880

16

0