| Key operations | Node operations | Communication | ||||||
---|---|---|---|---|---|---|---|---|---|
nodes height Level | Group key reconstruction | Exponentiations | Node traversal | Node joining/delete | The number of nodes | Rounds | Msgs sent per node | Total Msgs | |
DMHBGKA | Node joining |
| 0 | Average =  | Joining  =  O(log ) |
|
| 1 |
|
 | Node leaving |
| 0 | Average =  | Delete = O (log ) |
|
| 1 |
|
GDH | Node joining |
|
| 1 | Joining = O (1) |
| 2 | 1 |
|
 | Node leaving |
|
| 1 | Delete = O(1) |
| 1 | 1 |
|
TGDH | Node joining |
| 6 to | i | Joining = O(log ) |
| 2 | 3 |
|
 | Node leaving |
| 3 to | i | Delete = O(log ) |
| 1 | 1 |
|