Table 6 The truth values of the four-chamber group states.

From: Structural importance analysis and key chambers identification for chain instability of chamber group in coal mine

Topological structures (VII ~ X)

No

Chamber states

Chamber group states φ(X)

No

Chamber states

Chamber group states φ(X)

No

Chamber states

Chamber group states φ(X)

No

Chamber states

Chamber group states φ(X)

x1

x2

x3

x4

x1

x2

x3

x4

x1

x2

x3

x4

x1

x2

x3

x4

1

0

0

0

0

0

1

0

0

0

0

0

1

0

0

0

0

0

1

0

0

0

0

0

2

0

0

0

1

1

2

0

0

0

1

0

2

0

0

0

1

0

2

0

0

0

1

0

3

0

0

1

0

1

3

0

0

1

0

0

3

0

0

1

0

0

3

0

0

1

0

0

4

0

0

1

1

1

4

0

0

1

1

1

4

0

0

1

1

0

4

0

0

1

1

0

5

0

1

0

0

1

5

0

1

0

0

1

5

0

1

0

0

0

5

0

1

0

0

0

6

0

1

0

1

1

6

0

1

0

1

1

6

0

1

0

1

0

6

0

1

0

1

0

7

0

1

1

0

1

7

0

1

1

0

1

7

0

1

1

0

0

7

0

1

1

0

0

8

0

1

1

1

1

8

0

1

1

1

1

8

0

1

1

1

1

8

0

1

1

1

0

9

1

0

0

0

1

9

1

0

0

0

1

9

1

0

0

0

1

9

1

0

0

0

0

10

1

0

0

1

1

10

1

0

0

1

1

10

1

0

0

1

1

10

1

0

0

1

0

11

1

0

1

0

1

11

1

0

1

0

1

11

1

0

1

0

1

11

1

0

1

0

0

12

1

0

1

1

1

12

1

0

1

1

1

12

1

0

1

1

1

12

1

0

1

1

0

13

1

1

0

0

1

13

1

1

0

0

1

13

1

1

0

0

1

13

1

1

0

0

0

14

1

1

0

1

1

14

1

1

0

1

1

14

1

1

0

1

1

14

1

1

0

1

0

15

1

1

1

0

1

15

1

1

1

0

1

15

1

1

1

0

1

15

1

1

1

0

0

16

1

1

1

1

1

16

1

1

1

1

1

16

1

1

1

1

1

16

1

1

1

1

1