Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code DeCorte, Evan UNSPECIFIED UNSPECIFIED UNSPECIFIED Filho, Fernando Mario de Oliveira UNSPECIFIED UNSPECIFIED UNSPECIFIED Vallentin, Frank UNSPECIFIED orcid.org/0000-0002-3205-4607 UNSPECIFIED
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:	Keywords Language SPHERE PACKING PROBLEM; DENSITY; THEOREM; REALIZATION Multiple languages Computer Science, Software Engineering; Operations Research & Management Science; Mathematics, Applied Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/31901