Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4950884 | Information Processing Letters | 2017 | 7 Pages |
Abstract
We consider the following question: How many edge-disjoint plane spanning trees are contained in a complete geometric graph GKn on any set S of n points in general position in the plane? We show that this number is in Ω(n). Further, we consider variants of this problem by bounding the diameter and the degree of the trees (in particular considering spanning paths).
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Oswin Aichholzer, Thomas Hackl, Matias Korman, Marc van Kreveld, Maarten Löffler, Alexander Pilz, Bettina Speckmann, Emo Welzl,