I am trying to understand Bitcoin at a more fundamental level. I'd like to know how a new transaction enters and propagates across the network? I've read many Bob and Alice type scenarios where it's said that "the transaction is broadcast to the network". If there are many nodes on the Bitcoin network, how does the wallet know which node to initially broadcast the transaction to?
Just for clarification, I'm referring to the process of sending from the client wallet (e.g. Mycelium on Android) to Node 1, before it gets propagated to all other nodes. How does my wallet know which node to send to first, or does it just randomly pick one?