Minimum spanning blob-trees

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.

20 pages, 14 figures. Full version of a paper to be presented at the 41st European Workshop on Computational Geometry, Liblice, Czech republic, April 9-11, 2025. (EuroCG'25)