  Graph LP algebras are a generalization of cluster algebras introduced by Lam
and Pylyavskyy. We provide a combinatorial proof of positivity for certain
cluster variables in these algebras. This proof uses a hypergraph
generalization of snake graphs, a class of planar graphs which were used by
Musiker, Schiffler, and Williams to prove positivity for cluster algebras from
surfaces. These results extend those given in our previous paper, where we used
a related combinatorial object known as a $T$-path.
