Minimum spanning blob-trees

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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Publication Details

Journal
ArXiv.org
Published
2025-03-04
Primary Topic
Advanced Graph Theory Research
Type
article
Field-Weighted Citation Impact
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article

Minimum spanning blob-trees

Josef Tkadlec, Daniel Perz, Marc van Kreveld, Katharina Klost et al.
ArXiv.org
Advanced Graph Theory Research
article

Minimum spanning blob-trees

Josef Tkadlec, Daniel Perz, Marc van Kreveld, Katharina Klost, Günter Rote
article en

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.

ArXiv.org
Openalex Percentile: Top 69%
Advanced Graph Theory Research
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Minimum spanning blob-trees — Josef Tkadlec, Daniel Perz, et al. · ArXiv.org (2025) | TGRS Research Map | TGRS