Method for managing turns to speak over a shared communication channel within the framework of half-duplex communications implemented in a communication network composed of a plurality of interconnected sub-networks (101; 102), each sub-network being associated with a super-node device (110; 120) of the communication network, the method being implemented by a so-called super-node device, characterized in that, when a first request for a turn to speak is received (302; 501) from a terminal device of the sub-network with which the said super-node device is associated and the said super-node device is not aware of at least one second request for a turn to speak of higher priority, the said super-node device performs the following steps: - propagate (305; 505) the first request for a turn to speak to each other super-node device; - transmit (303; 510) a turn to speak pre-authorization message to the said terminal device so as to authorize the said terminal device to take a turn to speak; - transmit (304; 509) a turn to speak pre-authorization notification message to each other terminal device of the sub-network with which the super-node device is associated, so as to make each said other terminal device listen to the shared communication channel; - determine (308; 506) a duration of a timeout as a function of a law of distribution f τ (t) of the time period between a release from speaking and a next turn to speak, and of a law of distribution f δ (d) of network latency between an instant at which a request for a turn to speak is transmitted by a terminal device and an instant at which the said request is actually received by the said super-node device, so that the probability P fail of removing the said terminal device from the turn to speak is below a predefined threshold; - store (311; 511) in a buffer memory data received originating from the said terminal device within the framework of the turn to speak, and propagate (312; 511) the said data destined for each other super-node device; and - read-activate (314; 514) the buffer memory so as to disseminate the stored data to each terminal device listening on the sub-network associated with the said super-node device, when the said timeout has elapsed; and in that, when the said super-node device detects at least one second request for a turn to speak of higher priority before expiry of the said timeout, the said super-node device performs the following steps: - release the buffer memory; and - notify the said terminal device that the turn to speak is denied to the said terminal device. - propagate (305; 505) the first request for a turn to speak to each other super-node device; - transmit (303; 510) a turn to speak pre-authorization message to the said terminal device so as to authorize the said terminal device to take a turn to speak; - transmit (304; 509) a turn to speak pre-authorization notification message to each other terminal device of the sub-network with which the super-node device is associated, so as to make each said other terminal device listen to the shared communication channel; - determine (308; 506) a duration of a timeout as a function of a law of distribution f τ (t) of the time period between a release from speaking and a next turn to speak, and of a law of distribution f δ (d) of network latency between an instant at which a request for a turn to speak is transmitted by a terminal device and an instant at which the said request is actually received by the said super-node device, so that the probability P fail of removing the said terminal device from the turn to speak is below a predefined threshold; - store (311; 511) in a buffer memory data received originating from the said terminal device within the framework of the turn to speak, and propagate (312; 511) the said data destined for each other super-node device; and - read-activate (314; 514) the buffer memory so as to disseminate the stored data to each terminal device listening on the sub-network associated with the said super-node device, when the said timeout has elapsed; - release the buffer memory; and - notify the said terminal device that the turn to speak is denied to the said terminal device.