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 | ||||||||||||||||
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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 | ||||||||||||||||
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Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/31901 |
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