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Trivalent $2$-stratifolds are a generalization of $2$-manifolds in that thereare disjoint simple closed curves where three sheets meet. We developoperations on their associated labeled graphs that will effectively constructfrom a single vertex all graphs that represent $1$-connected $2$-stratifolds.We describe an implementation on Python of these operations and other previousresults.

Models of Simply-connected Trivalent $2$-dimensional Stratifolds with an Implementation Code