Abstract
After calculating the mean value of the support function for the simplex of the coordinate vectors over the unit sphere, we find the mean for a number of polytopes, including the Birkhoff and Asymmetric Traveling Salesman polytopes, and discuss what the latter means for the corresponding Asymmetric Traveling Salesman Problem. We also discuss how to apply these results to efficiently count the vertices of certain other permutation polytopes.
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.