Diagonal transformations in quadrangulations of surfaces
Atsuhiro Nakamoto · Journal of Graph Theory · 1996
In this paper, it will be shown that any two bipartite quadrangulations of any closed surface are transformed into each other by two kinds of transformations, called the diagonal slide and the diagonal rotation, up to homeomorphism, if they have the same and sufficiently large number of vertices. © 1996 John Wiley & Sons, Inc.