3 citations · 3 across the 2 of their papers we have counts for
4 papers · 1 filter
Almost normal Heegaard surfaces
Simon A. King
We present a new and shorter proof of Stocking's result that any strongly irreducible Heegaard surface of a closed orientable triangulated 3-manifold is isotopic to an almost norma…
Complexity of triangulations of the projective space
Simon A. King
It is known that any two triangulations of a compact 3-manifold are related by finite sequences of certain local transformations. We prove here an upper bound for the length of a s…
Crossing number of links formed by edges of a triangulation
Simon A. King
We study the crossing number of links that are formed by edges of a triangulation T of the 3-sphere with n tetrahedra. We show that the crossing number is bounded from above by an…
Regular flip equivalence of surface triangulations
Simon A. King
Any two triangulations of a closed surface with the same number of vertices can be transformed into each other by a sequence of regular flips, provided the number of vertices excee…