Pournin, LionelLiebling, Thomas M.2006-12-152006-12-152006-12-15200710.1016/j.comgeo.2006.07.001https://infoscience.epfl.ch/handle/20.500.14299/238569WOS:000245758900005We describe particular paths in the flip-graph of regular triangulations in any dimension. It is shown that any pair of regular triangulations is connected by a path along which none of their common faces are destroyed. As a consequence, we obtain the connectivity of the flip-graph of regular triangulations that share the same vertex set.Regular triangulationsFlip-graphSecondary polytopeSecondary fanConstrained paths in the flip-graph of regular triangulationstext::journal::journal article::research article