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arXiv · 2311.09794

On the Non-Locality of Edge Insertions

Florestan Brunck
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Abstract

We challenge the idea that edge insertions are local improvement operations and show that the edge-insertion algorithm must sometimes insert an edge between vertices that are at the farthest combinatorial distance apart, and that this edge must also cross linearly many edges of the triangulation for the algorithm to escape a local optimum and return the optimal triangulation.

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Florestan Brunck. 2023-11-16. On the Non-Locality of Edge Insertions. https://arxiv.org/abs/2311.09794

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