Access-point discovery of wireless-network topology

During disclosed communication techniques, an electronic device may exchange information that specifies probe requests with one or more other electronic devices in the network. Then, the electronic device may aggregate information about the probe requests. Moreover, the electronic device may determine, based at least in part on the aggregated information, electronic device-to-electronic device connections in the network, such as connections among neighboring access points. Next, the electronic device may calculate, based at least in part on the aggregated information and the electronic device-to-electronic device connections, first transition thresholds between nearest-neighbor electronic devices in the network. Furthermore, the electronic device may select, based at least in part on the first transition thresholds, a response threshold. When the electronic device includes an access point, the electronic device may selectively respond to a probe request from a client based at least in part on the selected response threshold.