Table 4 The truth values of the three -chamber group states.

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

Topological structures (IV ~ VI)

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

x1

x2

x3

x1

x2

x3

1

0

0

0

0

1

0

0

0

0

1

0

0

0

0

2

0

0

1

1

2

0

0

1

0

2

0

0

1

0

3

0

1

0

1

3

0

1

0

0

3

0

1

0

0

4

0

1

1

1

4

0

1

1

1

4

0

1

1

0

5

1

0

0

1

5

1

0

0

1

5

1

0

0

0

6

1

0

1

1

6

1

0

1

1

6

1

0

1

0

7

1

1

0

1

7

1

1

0

1

7

1

1

0

0

8

1

1

1

1

8

1

1

1

1

8

1

1

1

1