Is there a concept of Chirality or Polarity defined on graphs?
For example, consider a system with spin-$1/2$ (up/down polarity) particles which have also chirality (right/left).
I thought to take a simple graph representation of Ising model and somehow extend it.
I would say that a graph/percolation model for liquid-crystal is what I am looking for at the end.
I guess a 4-coloring approach should work here. I am not sure how to state it for doing physics purposes.