Nice and interesting game. I like how you've linked this game to a graph concept. The attack animation although a bit simple, is quite effective. The particle effects are really good.
From a UX point of view, some change to the player movement would be good. Right now the player just follows the mouse, which is a bit unnatural and unintended. For example, if I want to move my mouse out of the screen or to the "Back" or "I'm stuck" buttons, the player shouldn't follow. You can make the player go to the last clicked mouse location, for example. This does mean the player can't directly navigate to the adjacent room. But you could add doors/portals in each of the rooms that cause a navigation to the adjacent room. Anyway the navigation is by room and not a continuous space.
A better indication of where I am on the map (or minimap) would help. Higher contrast, or special icon, etc.
With regards to your question, I appreciate the linking to a mathematical concept, but I didn't fully understand the link while playing the game, and wasn't actively thinking about it while going about trying to solve the game. Kudos on making a full game with the concept: it is a hard thing to do.