Its related to Pipes! in that the game's purpose is to solve an interconnected maze of nodes.
The difference is that instead of rotating pieces, the board simply displays the number of open connections for all of the nodes on the screen, like so:
And the player adds and removes connections between nodes.
So far, I find the game difficult, mainly because I'm just now figuring out the logic of determining which connections to make.
At the beginning of the game, you look for 4s in the middle of the board, 3s on the edges, and 2s in the corners. After that, it can get tricky.
You might look for implementations of Hashi-o-Kakero. It's very similar to what you're doing.