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arXiv · 2603.18812

Central Triangulation under Parallel Flip Operations: The CG:SHOP Challenge 2026

Oswin Aichholzer·Joseph Dorfer·Sándor P. Fekete·Phillip Keldenich·Peter Kramer·Stefan Schirra
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Abstract

We give an overview of the 2026 Computational Geometry Challenge targeting the problem of finding a Central Triangulation under Parallel Flip Operations in triangulations of point sets. A flip is the parallel exchange of a set of edges in a triangulation with opposing diagonals of the convex quadrilaterals containing them. The challenge objective was, given a set of triangulations of a fixed point set, to determine a central triangulation with respect to parallel flip distances. More precisely, this asks for a triangulation that minimizes the sum of flip distances to all elements of the input

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Oswin Aichholzer, Joseph Dorfer, Sándor P. Fekete, Phillip Keldenich, Peter Kramer, Stefan Schirra. 2026-03-19. Central Triangulation under Parallel Flip Operations: The CG:SHOP Challenge 2026. https://arxiv.org/abs/2603.18812

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