English

A Lower Bound on the Diameter of the Flip Graph

Computational Geometry 2015-08-17 v1 Data Structures and Algorithms Combinatorics

Abstract

The flip graph is the graph whose nodes correspond to non-isomorphic combinatorial triangulations and whose edges connect pairs of triangulations that can be obtained one from the other by flipping a single edge. In this note we show that the diameter of the flip graph is at least 7n3+Θ(1)\frac{7n}{3} + \Theta(1), improving upon the previous 2n+Θ(1)2n + \Theta(1) lower bound.

Keywords

Cite

@article{arxiv.1508.03473,
  title  = {A Lower Bound on the Diameter of the Flip Graph},
  author = {Fabrizio Frati},
  journal= {arXiv preprint arXiv:1508.03473},
  year   = {2015}
}
R2 v1 2026-06-22T10:33:42.389Z