"No hierarchical structure" means:

1. _No vertical structure_: The network doesn't have a top-down or bottom-up structure.

2. _No levels or ranks_: Devices are not ranked or prioritized based on their importance or function.

3. _No central authority_: There is no central authority controlling the network or making decisions on behalf of other devices.

4. _No dependency on a single device_: The network doesn't rely on a single device to function or make decisions.

5. _Equal status_: All devices have equal status and participate equally in the network.

6. _Decentralized decision-making_: Decisions are made through consensus or distributed algorithms, rather than by a central authority.

7. _No single point of failure_: The network doesn't have a single point of failure, making it more resilient and fault-tolerant.

8. _Distributed control_: Control is distributed among devices, with no single device controlling the network.

By eliminating hierarchical structure, the network becomes more decentralized, resilient, and democratic, enabling equal participation and decision-making among devices.