| Autor: |
Izmestiev, Ivan, Klee, Steven, Novik, Isabella |
| Rok vydání: |
2015 |
| Předmět: |
|
| Druh dokumentu: |
Working Paper |
| Popis: |
We introduce a notion of cross-flips: local moves that transform a balanced (i.e., properly $(d+1)$-colored) triangulation of a combinatorial $d$-manifold into another balanced triangulation. These moves form a natural analog of bistellar flips (also known as Pachner moves). Specifically, we establish the following theorem: any two balanced triangulations of a closed combinatorial $d$-manifold can be connected by a sequence of cross-flips. Along the way we prove that for every $m \geq d+2$ and any closed combinatorial $d$-manifold $M$, two $m$-colored triangulations of $M$ can be connected by a sequence of bistellar flips that preserve the vertex colorings. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
