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Table 1 Properties \(P_1\) and \(P_2\) for elements in X

From: How frequently do clusters occur in hierarchical clustering analysis? A graph theoretical approach to studying ties in proximity

Elements

\(P_1\)

\(P_2\)

a

1

1

b

2

1

c

1.5

2

d

10

6

e

14

6

f

12

\(6+\sqrt{12}\)

g

0

9

h

2

11

i

1

10

  1. The property value \(6 + \sqrt{12}\) is used to warranty the equidistance among elements d, e, and f