Frank Vallentin

Cited by

	All	Since 2016
Citations	1247	590
h-index	20	15
i10-index	29	23

160

120

2004200520062007200820092010201120122013201420152016201720182019202020217 3 18 14 28 77 53 56 81 89 109 94 87 80 107 151 137 22

Co-authors

Achill SchürmannInstitute for Mathematics, University of RostockVerified email at uni-rostock.de
Fernando Mario de Oliveira FilhoDelft University of TechnologyVerified email at tudelft.nl
Mathieu Dutour SikirićInstitut Rudjer BoskovicVerified email at irb.hr
Christine BachocProfessor of Mathematics, Univ BordeauxVerified email at math.u-bordeaux1.fr
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
Hans MittelmannProfessor of Mathematics, Arizona State UniversityVerified email at asu.edu
Dion GijswijtProfessor of mathematics, Delft University of TechnologyVerified email at tudelft.nl
Alexander SchrijverUniversity of Amsterdam and CWIVerified email at cwi.nl
Maria DostertÉcole polytechnique fédérale de Lausanne (EPFL)Verified email at epfl.ch
Nebojsa GvozdenovicUniversity of Novi Sad, SerbiaVerified email at ef.uns.ac.rs
Etienne de KlerkProfessor, Tilburg UniversityVerified email at uvt.nl
Cristobal GuzmanUniversity of TwenteVerified email at utwente.nl
Francisco SantosProfessor of Mathematics, Universidad de CantabriaVerified email at unican.es
Cristian DobreTilburg UniversityVerified email at uvt.nl
Leonhard frerickVerified email at uni-trier.de
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	156	2008
Symmetry in semidefinite programs F Vallentin Linear Algebra and its Applications 430 (1), 360-369, 2009	72	2009
Classification of eight dimensional perfect forms M Dutour Sikirić, A Schürmann, F Vallentin Electron. Res. Announc. Amer. Math. Soc 13, 21-32, 2007	72*	2007
High-accuracy semidefinite programming bounds for kissing numbers HD Mittelmann, F Vallentin Experimental Mathematics 19 (2), 175-179, 2010	71	2010
Invariant semidefinite programs C Bachoc, DC Gijswijt, A Schrijver, F Vallentin Handbook on semidefinite, conic and polynomial optimization, 219-269, 2012	69	2012
Sphere covering, lattices, and tilings (in low dimensions) F Vallentin Technische Universität München, 2003	62	2003
Complexity and algorithms for computing Voronoi cells of lattices M Dutour Sikirić, A Schürmann, F Vallentin Mathematics of computation 78 (267), 1713-1731, 2009	60	2009
Upper bounds for packings of spheres of several radii D de Laat, FM de Oliveira Filho, F Vallentin Forum Math. Sigma 2, 2014	47	2014
Computational approaches to lattice packing and covering problems A Schürmann, F Vallentin Discrete & Computational Geometry 35 (1), 73-116, 2006	47	2006
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	42	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	39	2010
Bounds for projective codes from semidefinite programming C Bachoc, A Passuello, F Vallentin arXiv preprint arXiv:1205.6406, 2012	35	2012
The positive semidefinite Grothendieck problem with rank constraint J Briët, FM de Oliveira Filho, F Vallentin Automata, Languages and Programming, 31-42, 2010	34	2010
Grothendieck inequalities for semidefinite programs with rank constraint J Briet, FM de Oliveira Filho, F Vallentin Theory of Computing 10, 77-105, 2014	33*	2014
A generalization of Voronoi's reduction theory and its application M Dutour Sikirić, A Schürmann, F Vallentin Duke Math. J. 142, 127-164, 2008	32*	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	30	2009
A semidefinite programming hierarchy for packing problems in discrete geometry D de Laat, F Vallentin Mathematical Programming 151 (2), 529-553, 2015	28	2015
Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps C Bachoc, F Vallentin European Journal of Combinatorics 30 (3), 625-637, 2009	27	2009
Block-diagonal semidefinite programming hierarchies for 0/1 programming N Gvozdenovic, M Laurent, F Vallentin Oper. Res. Lett. 37, 27-31, 2009	23	2009
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	22	2016

The system can't perform the operation now. Try again later.

Articles 1–20

Citations per year

Duplicate citations

Merged citations

Add co-authorsCo-authors

Upload PDF

Follow this author

Cited by

Co-authors