DeCorte, Evan, Filho, Fernando Mario de Oliveira and Vallentin, Frank ORCID: 0000-0002-3205-4607 . Complete positivity and distance-avoiding sets. Math. Program.. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1436-4646

Full text not available from this repository.

Abstract

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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
DeCorte, EvanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Filho, Fernando Mario de OliveiraUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Vallentin, FrankUNSPECIFIEDorcid.org/0000-0002-3205-4607UNSPECIFIED
URN: urn:nbn:de:hbz:38-319013
DOI: 10.1007/s10107-020-01562-6
Journal or Publication Title: Math. Program.
Publisher: SPRINGER HEIDELBERG
Place of Publication: HEIDELBERG
ISSN: 1436-4646
Language: English
Faculty: Faculty of Mathematics and Natural Sciences
Divisions: Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
SPHERE PACKING PROBLEM; DENSITY; THEOREM; REALIZATIONMultiple languages
Computer Science, Software Engineering; Operations Research & Management Science; Mathematics, AppliedMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/31901

Downloads

Downloads per month over past year

Altmetric

Export

Actions (login required)

View Item View Item