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Table 1 Probability of absorption of each coalitional structure for weight coefficient \(\alpha = 1,2,\ldots ,10\) and \(\tau\) = 1

From: Coalitional graph game for area maximization of multi-hop clustering in vehicular ad hoc networks

Coalitional structure Probability of absorption
1 0 0 0 0 0 0 0 0 0 0
2 0.50 0 0 0 0 0 0 0 0 0
3 0.50 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0
5 0 0 0 0 0 0 0 0 0 0
6 0 0 0 0 0 0 0 0 0 0
7 0 0 0 0 0 0 0 0 0 0
8 0 0.09 0.09 0.08 0.08 0.08 0.08 0.07 0.07 0.07
9 0 0.13 0.10 0.09 0.08 0.08 0.08 0.08 0.08 0.08
10 0 0.01 0.02 0.02 0.16 0.16 0.16 0.16 0.16 0.16
11 0 0.10 0.09 0.08 0.08 0.08 0.08 0.08 0.07 0.07
12 0 0.32 0.32 0.31 0.18 0.18 0.18 0.18 0.17 0.17
13 0 0 0.01 0.02 0.02 0.02 0.02 0.02 0.02 0.11
14 0 0 0 0.03 0.03 0.04 0.04 0.04 0.04 0.04
15 0 0.35 0.35 0.34 0.33 0.33 0.20 0.20 0.20 0.15
16 0 0 0.02 0.03 0.03 0.04 0.17 0.17 0.17 0.13
  1:1 2:1 3:1 4:1 5:1 6:1 7:1 8:1 9:1 10:1
  (\(\varvec{\alpha}\) : \(\varvec{\tau}\))