An access point, comprising: an antenna; and an interface circuit, coupled to the antenna, configured to wirelessly communicate with one or more other electronic devices and one or more clients in a network, wherein the access point is configured to: exchange, via the interface circuit, information (418, 420) that specifies probe requests received at the access point from the one or more clients, with the one or more other electronic devices in the network, wherein the one or more other electronic devices are one or more neighboring access points of the access point; aggregate information about the probe requests associated with the one or more clients in the network; determine, based at least in part on the aggregated information, electronic device-to-electronic device connections in the network; calculate, based at least in part on the aggregated information and the electronic device-to-electronic device connections, one or more first transition thresholds between nearest-neighbor electronic devices in the network; select a response threshold for whether to respond to a given probe request, a given authentication frame or a given management frame based at least in part on the one or more first transition thresholds; receive, at the interface circuit, a probe request, an authentication frame or a management frame from one of the one or more clients; and selectively respond (322, 434), to the one of the one or more clients and based at least in part on the selected response threshold, to the probe request, the authentication frame or the management frame. an antenna; and an interface circuit, coupled to the antenna, configured to wirelessly communicate with one or more other electronic devices and one or more clients in a network, wherein the access point is configured to: exchange, via the interface circuit, information (418, 420) that specifies probe requests received at the access point from the one or more clients, with the one or more other electronic devices in the network, wherein the one or more other electronic devices are one or more neighboring access points of the access point; aggregate information about the probe requests associated with the one or more clients in the network; determine, based at least in part on the aggregated information, electronic device-to-electronic device connections in the network; calculate, based at least in part on the aggregated information and the electronic device-to-electronic device connections, one or more first transition thresholds between nearest-neighbor electronic devices in the network; select a response threshold for whether to respond to a given probe request, a given authentication frame or a given management frame based at least in part on the one or more first transition thresholds; receive, at the interface circuit, a probe request, an authentication frame or a management frame from one of the one or more clients; and selectively respond (322, 434), to the one of the one or more clients and based at least in part on the selected response threshold, to the probe request, the authentication frame or the management frame. exchange, via the interface circuit, information (418, 420) that specifies probe requests received at the access point from the one or more clients, with the one or more other electronic devices in the network, wherein the one or more other electronic devices are one or more neighboring access points of the access point; aggregate information about the probe requests associated with the one or more clients in the network; determine, based at least in part on the aggregated information, electronic device-to-electronic device connections in the network; calculate, based at least in part on the aggregated information and the electronic device-to-electronic device connections, one or more first transition thresholds between nearest-neighbor electronic devices in the network; select a response threshold for whether to respond to a given probe request, a given authentication frame or a given management frame based at least in part on the one or more first transition thresholds; receive, at the interface circuit, a probe request, an authentication frame or a management frame from one of the one or more clients; and selectively respond (322, 434), to the one of the one or more clients and based at least in part on the selected response threshold, to the probe request, the authentication frame or the management frame.