Pick up an elementary graph theory book first - that's where you want to be getting to. Then "read like math." In other words, read it, but making sure you un

Pick up an elementary graph theory book first - that's where you want to be getting to. Then "read like math." In other words, read it, but making sure you understand every point. Do the exercises, think through the examples, work at it. If there's something you don't understand, search Google, read wikipedia, and, as a last resort, pose it as a puzzle in an online forum somewhere. Pick your forum carefully. That leaves the question of which book to start with. Try just Googling first, then read the reviews. Narrow it down to a few, and then again, ask for recommendations. This may sound patronizing, and I apologise if it does, but I'm trying to teach you to fish, rather than just giving you one. With a degree in computing you have more background than you think, and you need to target your endpoint rather than just accruing random math stuff.