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arXiv · 1508.03473

A Lower Bound on the Diameter of the Flip Graph

Fabrizio Frati
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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 $\frac{7n}{3} + \Theta(1)$, improving upon the previous $2n + \Theta(1)$ lower bound.

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Fabrizio Frati. 2015-08-14. A Lower Bound on the Diameter of the Flip Graph. https://arxiv.org/abs/1508.03473

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