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

J. C. Gómez-Larrañaga, F. González-Acuña, Wolfgang Heil, Y. A. Hernández-Esparza

Published 2018-05-14Version 1

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