Hi, guys!

I have a rather abstract question, because I don't know which side to approach to its solution. So, I would appreciate any information.

I have a task to create a simple game that generates floor plans and I following by this perfect algorithm (https://www.hindawi.com/journals/ijcgt/2010/624817/). At the moment I use squarified treemaps (http://www.win.tue.nl/~vanwijk/stm.pdf) and here no problems. I create nested array in which elements are rooms with size. Problems starts when I trying to represent generated "rooms" as edges and vertexes (a, b, c, d steps in attached picture) That representation can give me access to this elements as special "entities" in future game versions.

I don't have skills in graphs (and do I need graphs?) and at the moment totally stucked at this step. How can I represent room walls as trees (or graphs?) at this step? Calculate size of squares (rooms) and convert sides to a vectors? Then in loop find shared vectors (same position by "x" or "y") and determine them as shared walls? The instinct tells me that there exist more elegant and efficient ways.

Anyway, thanks for any information about this.