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arXiv · 2503.02439

Minimum spanning blob-trees

Katharina Klost·Marc van Kreveld·Daniel Perz·Günter Rote·Josef Tkadlec
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Abstract

We investigate blob-trees, a new way of connecting a set of points, by a mixture of enclosing them by cycles (as in the convex hull) and connecting them by edges (as in a spanning tree). We show that a minimum-cost blob-tree for $n$ points can be computed in $O(n^3)$ time.

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Katharina Klost, Marc van Kreveld, Daniel Perz, Günter Rote, Josef Tkadlec. 2025-03-04. Minimum spanning blob-trees. https://arxiv.org/abs/2503.02439

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