Frank Vallentin

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Achill SchürmannInstitute for Mathematics, University of RostockVerified email at uni-rostock.de
Fernando Mario de Oliveira FilhoDelft University of TechnologyVerified email at tudelft.nl
Christine BachocProfessor of Mathematics, Univ BordeauxVerified email at math.u-bordeaux1.fr
Mathieu Dutour SikirićInstitut Rudjer BoskovicVerified email at irb.hr
David de LaatDelft University of TechnologyVerified email at daviddelaat.nl
Jop BriëtCWIVerified email at cwi.nl
Evan DeCorteMcGill UniversityVerified email at mcgill.ca
Monique LaurentCWI, Amsterdam, and Tilburg UniversityVerified email at cwi.nl
Dion GijswijtProfessor of mathematics, Delft University of TechnologyVerified email at tudelft.nl
Alexander SchrijverUniversity of Amsterdam and CWIVerified email at cwi.nl
Etienne de KlerkProfessor, Tilburg UniversityVerified email at uvt.nl
Hans MittelmannProfessor of Mathematics, Arizona State UniversityVerified email at asu.edu
Maria DostertÉcole polytechnique fédérale de Lausanne (EPFL)Verified email at epfl.ch
Nebojsa GvozdenovicUniversity of Novi Sad, SerbiaVerified email at ef.uns.ac.rs
Cristobal GuzmanPontificia Universidad Católica de ChileVerified email at mat.uc.cl
Cristian DobreTilburg UniversityVerified email at uvt.nl
Leonhard frerickVerified email at uni-trier.de
Francisco SantosProfessor of Mathematics, Universidad de CantabriaVerified email at unican.es
Franz RendlMathematik, Alpen-Adria Universität KlagenfurtVerified email at aau.at
Mirjam DürProfessor of Mathematical Optimization, University of Augsburg, Germany

Frank Vallentin

University of Cologne

Verified email at uni-koeln.de - Homepage

optimization geometry discrete mathematics


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
New upper bounds for kissing numbers from semidefinite programming C Bachoc, F Vallentin Journal of the American Mathematical Society 21 (3), 909-924, 2008	196	2008
Symmetry in semidefinite programs F Vallentin Linear Algebra and its Applications 430 (1), 360-369, 2009	102	2009
Invariant semidefinite programs C Bachoc, DC Gijswijt, A Schrijver, F Vallentin Handbook on semidefinite, conic and polynomial optimization, 219-269, 2012	101	2012
Classification of eight dimensional perfect forms M Dutour Sikirić, A Schürmann, F Vallentin Electron. Res. Announc. Amer. Math. Soc 13, 21-32, 2007	88*	2007
High-accuracy semidefinite programming bounds for kissing numbers HD Mittelmann, F Vallentin Experimental Mathematics 19 (2), 175-179, 2010	80	2010
Complexity and algorithms for computing Voronoi cells of lattices M Dutour Sikirić, A Schürmann, F Vallentin Mathematics of computation 78 (267), 1713-1731, 2009	76	2009
Sphere covering, lattices, and tilings (in low dimensions) F Vallentin Technische Universität München, 2003	67	2003
Upper bounds for packings of spheres of several radii D de Laat, FM de Oliveira Filho, F Vallentin Forum Math. Sigma 2, 2014	56	2014
Lower bounds for measurable chromatic numbers C Bachoc, G Nebe, FM de Oliveira Filho, F Vallentin Geometric and Functional Analysis 19 (3), 645-661, 2009	51	2009
Fourier analysis, linear programming, and densities of distance avoiding sets in Rn FM de Oliveira Filho, F Vallentin J. Eur. Math. Soc. 12, 1417-1428, 2010	48	2010
Computational approaches to lattice packing and covering problems A Schürmann, F Vallentin Discrete & Computational Geometry 35 (1), 73-116, 2006	48	2006
On the Turing model complexity of interior point methods for semidefinite programming E de Klerk, F Vallentin SIAM Journal on Optimization 26 (3), 1944-1961, 2016	44	2016
Grothendieck inequalities for semidefinite programs with rank constraint J Briet, FM de Oliveira Filho, F Vallentin Theory of Computing 10, 77-105, 2014	43*	2014
The positive semidefinite Grothendieck problem with rank constraint J Briët, FM de Oliveira Filho, F Vallentin Automata, Languages and Programming, 31-42, 2010	43	2010
Bounds for projective codes from semidefinite programming C Bachoc, A Passuello, F Vallentin arXiv preprint arXiv:1205.6406, 2012	39	2012
A semidefinite programming hierarchy for packing problems in discrete geometry D de Laat, F Vallentin Mathematical Programming 151 (2), 529-553, 2015	38	2015
A generalization of Voronoi's reduction theory and its application M Dutour Sikirić, A Schürmann, F Vallentin Duke Math. J. 142, 127-164, 2008	35*	2008
Optimality and uniqueness of the (4, 10, 1/6) spherical code C Bachoc, F Vallentin Journal of Combinatorial Theory, Series A 116 (1), 195-204, 2009	32	2009
Block-diagonal semidefinite programming hierarchies for 0/1 programming N Gvozdenovic, M Laurent, F Vallentin Oper. Res. Lett. 37, 27-31, 2009	30	2009
Semidefinite optimization M Laurent, F Vallentin Lecture Notes, available at http://page. mi. fu-berlin. de/fmario/sdp …, 2012	28	2012

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