Table 8 The truth values of the n-chamber group states.

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

Topological structures (\(\frac{n(n - 1)}{2}\) ~ \(\frac{n(n + 1)}{2}\))

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

xn

x1

xm

xm+1

xn

x1

x2

xn

1

0

0

0

0

1

0

0

0/1

0

0

1

0

0

0

0

2

0

0

1

1

2

0

0

0/1

1

0

2

0

0

1

0

1

0

1

1

0

1

0/1

1

1

7

1

0

1

0

2n

1

1

1

1

n

1

1

1

1

1

n

1

1

1

1