How exactly does one go about that?
The only place I have for networking with other authors is this site. Although I could appeal to my professors, I know a few that have published books, though their books seem to be in different genres than I write in.
Sorry I didn't check this thread sooner to see your question.
Make friends with authors. Through them, make more friends with more authors. If you're making friends with good authors (who are also nice people with whom you want friendship), sooner or later you'll be friends with published authors who've got agents.
Through total serendipity, I happen to have a really excellent contact in the publishing world -- a three-time, well-reviewed MG author who's also an editor at an FSG imprint. Her parents were one of my husband's foster families while he was growing up, and he lived with them a long time and became very close to their kids, so she's kinda-sorta my sister-in-law. Sort of. She caught the bouquet at our wedding, and I guess that's all the contact you need.
She hooked me up with "permission" to query an agent who doesn't take unsolicited queries, but does like my genre. She knows this agent because she (the agent) works at the same agency at my friend's agent.
As it turned out, I got this full request before I queried the hooked-up networked agent, and the request was exclusive. But if the gal who's currently interested ends up rejecting my manuscript, I can go on to query this other agent.
You never know what kind of opportunities your network may open up for you. But it's up to you to seek out and tap those opportunities. They won't fall into your lap. You've got to assess your "surroundings" and be proactive.