2021/07/19 by Luke Jeffreys, Jeffreys, Luke, Carlos Matheus +1
Computer Science · Engineering · #30F30 #30F60 (Primary) 05C10 (Secondary) #32G15 #Advanced Graph Theory Research #Advanced Materials and Mechanics #Cellular Automata and Applications #FOS: Mathematics #Geometric Topology (math.GT) #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2107.08786
openalex publication_date 2021/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the SL(2,ℤ)-orbits of primitive n-squared origamis in the stratum H(2). In particular, we consider the 4-valent graphs obtained from the action of SL(2,ℤ) with respect to a generating set of size two. We prove that, apart from the orbit for n = 3 and one of the orbits for n = 5, all of the obtained graphs are non-planar. Specifically, in each of the graphs we exhibit a K3,3 minor, where K3,3 is the complete bipartite graph on two sets of three vertices.