On laptop I would simply just listen to the ARP broadcasts, but I don't know if it's possible with the ESP8266 SDK.
I don't care if it takes time or not 100% accurate (like te previously mentioned ARP boradcast), I just want to check if I can find my specific computer without any information. ( eg. I'm running an FTP server on port XXX - after that the ESP8266 Will try if it can connect to that port on every computer on the device. If succeed, then my machine is found )
Thanks!