| Notation | Meaning |
| RNL | indicates a registered node list in which every node has registered with a server. |
| P(x) | indicates the parent of node x. |
| TCRInt | indicates the interval that GW uses to broadcast a tree construction request (TCR) message during initialization period. |
| MaxChildren | indicates the maximum number of children that a 1-hop relay node can have. |
| uPF(x | indicates the updated profile that node x generates if it detects link breakage to any of its children. |
| uSSI(x) | indicates an updated slot scheduling information that a server generates for node x that has reported uPF(x) |
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