Autor:	DeCorte, Evan, Filho, Fernando Mário de Oliveira, Vallentin, Frank
Rok vydání:	2018
Předmět:	Mathematics - Metric Geometry Mathematics - Functional Analysis Mathematics - Optimization and Control 46N10 52C10 51K99 90C22 90C34
Zdroj:	Math. Program. 191 (2022), 487-558
Druh dokumentu:	Working Paper
DOI:	10.1007/s10107-020-01562-6
Popis:	We introduce the cone of completely-positive functions, a subset of the cone of positive-type functions, and use it to fully characterize maximum-density distance-avoiding sets as the optimal solutions of a convex optimization problem. As a consequence of this characterization, it is possible to reprove and improve many results concerning distance-avoiding sets on the sphere and in Euclidean space. Comment: 57 pages; final version published at Math. Program
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1804.09099 Zobrazit plný text záznamu View this record from Arxiv