Minimum spanning blob-trees
Katharina Klost, Marc J. van Kreveld, Daniel Perz, Günter Rote, Josef Tkadlec · arXiv (Cornell University) · 2025
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.