EURASIP Journal on Wireless Communications and Networking

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
	(\(\varvec{\alpha}\) : \(\varvec{\tau}\))

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