Try ONE simple question to expand your network:
"Who else should I talk to?"
When you are sitting across the proverbial table with a new connection over the phone or with your favorite hot beverage at a coffee shop before you leave, ask this question!
In your brief chat, your new connection just learned about you - your goals, skills, how you want to grow, companies or positions of interest - so ask who else THEY know that you can learn from!
This way your network is ever-expanding with one simple question.