Joriom, I think you're bragging to much about this being easy, which means you did feel challenge while working on it :)
That said, my long experience with graphs helped me a lot while solving it.
Great game. 5/5
BTW, there is another game like this on Kongregate, Move the Dots (http://www.kongregate.com/games/YouGame/move-the-dots-puzzle), which generates edges and vertices randomly, thus providing unlimited levels to solve.