Abstract
Let P be a d-dimensional n-point set. A partition \(\mathcal{T}\) of P is called a Tverberg partition if the convex hulls of all sets in \(\mathcal{T}\) intersect in at least one point. We say \(\mathcal{T}\) is t-tolerated if it remains a Tverberg partition after deleting any t points from P. Soberon and Strausz proved that there is always a t-tolerated Tverberg partition with ⌈n / (d + 1)(t + 1) ⌉ sets. However, so far no nontrivial algorithms for computing or approximating such partitions have been presented.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.