Computer Science > Computational Geometry
arXiv:2606.25302 (cs)
[Submitted on 24 Jun 2026]
Abstract:We construct a convex polygon for which the minimum-weight Steiner triangulation requires an interior Steiner point. This provides a counterexample to a 1994 conjecture of Eppstein that minimum-weight Steiner triangulation of convex polygons needs only Steiner points on the boundary of the polygon.
Submission history
From: Zahra Hadizadeh Hadizadeh [view email]
[v1]
Wed, 24 Jun 2026 02:01:18 UTC (26 KB)
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