Minimum spanning blob-trees

Fuente: arXiv
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Autores principales: Klost, Katharina, van Kreveld, Marc, Perz, Daniel, Rote, Günter, Tkadlec, Josef
Formato: Preprint
Publicado: 2025
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author Klost, Katharina
van Kreveld, Marc
Perz, Daniel
Rote, Günter
Tkadlec, Josef
author_facet Klost, Katharina
van Kreveld, Marc
Perz, Daniel
Rote, Günter
Tkadlec, Josef
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_02439
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Minimum spanning blob-trees
Klost, Katharina
van Kreveld, Marc
Perz, Daniel
Rote, Günter
Tkadlec, Josef
Computational Geometry
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.
title Minimum spanning blob-trees
topic Computational Geometry
url https://arxiv.org/abs/2503.02439