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1

New upper bounds for kissing numbers from semidefinite programming

Bachoc, Christine, Vallentin, Frank

Journal:

Journal of the American Mathematical Society

Year:

2008

File:

PDF, 247 KB

2008

2

New Upper Bounds for Kissing Numbers from Semidefinite Programming

Christine Bachoc and Frank Vallentin

Journal:

Journal of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 1.21 MB

english, 2008

3

Lower Bounds for Measurable Chromatic Numbers

Christine Bachoc, Gabriele Nebe, Fernando Mário de Oliveira Filho, Frank Vallentin

Journal:

Geometric And Functional Analysis

Year:

2009

Language:

english

File:

PDF, 263 KB

english, 2009

4

A simplex algorithm for rational cp-factorization

Dutour SikiriÄ, Mathieu, SchÃ¼rmann, Achill, Vallentin, Frank

Journal:

Mathematical Programming

Year:

2020

Language:

english

File:

PDF, 414 KB

english, 2020

5

Complete positivity and distance-avoiding sets

DeCorte, Evan, Filho, Fernando MÃ¡rio de Oliveira, Vallentin, Frank

Journal:

Mathematical Programming

Year:

2020

File:

PDF, 743 KB

2020

6

Upper bounds for packings of spheres of several radii

DE LAAT, DAVID, DE OLIVEIRA FILHO, FERNANDO MÁRIO, VALLENTIN, FRANK

Journal:

Forum of Mathematics, Sigma

Year:

2014

Language:

english

File:

PDF, 1.10 MB

english, 2014

7

Block-diagonal semidefinite programming hierarchies for 0/1 programming

Nebojša Gvozdenović, Monique Laurent, Frank Vallentin

Journal:

Operations Research Letters

Year:

2009

Language:

english

File:

PDF, 1.01 MB

english, 2009

8

Lattice Delone simplices with super-exponential volume

Francisco Santos, Achill Schürmann, Frank Vallentin

Journal:

European Journal of Combinatorics

Year:

2007

Language:

english

File:

PDF, 147 KB

english, 2007

9

Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps

Christine Bachoc, Frank Vallentin

Journal:

European Journal of Combinatorics

Year:

2009

Language:

english

File:

PDF, 561 KB

english, 2009

10

Optimal distortion embeddings of distance regular graphs into Euclidean spaces

Frank Vallentin

Journal:

Journal of Combinatorial Theory, Series B

Year:

2008

Language:

english

File:

PDF, 134 KB

english, 2008

11

Symmetry in semidefinite programs

Frank Vallentin

Journal:

Linear Algebra and its Applications

Year:

2009

Language:

english

File:

PDF, 148 KB

english, 2009

12

Computational Approaches to Lattice Packing and Covering Problems

Achill Schurmann, Frank Vallentin

Journal:

Discrete & Computational Geometry

Year:

2006

Language:

english

File:

PDF, 512 KB

english, 2006

13

The Contact Polytope of the Leech Lattice

Mathieu Dutour Sikirić, Achill Schürmann, Frank Vallentin

Journal:

Discrete & Computational Geometry

Year:

2010

Language:

english

File:

PDF, 329 KB

english, 2010

14

Optimality and uniqueness of the spherical code

Christine Bachoc, Frank Vallentin

Journal:

Journal of Combinatorial Theory, Series A

Year:

2009

Language:

english

File:

PDF, 174 KB

english, 2009

15

Book reviews

C. D. Ercegovich, Frank J. Pokorny, Wayne J. McIlrath, Leo A. Goldblatt, W. H. Hodge, John F. Vallentine, Robert B. Perdue, John W. Thieret, Albert F. Hill, Hui-Lin Li, Dwight Hair

Journal:

Economic Botany

Year:

1961

Language:

english

File:

PDF, 739 KB

english, 1961

16

A quantitative version of Steinhaus’ theorem for compact, connected, rank-one symmetric spaces

Oliveira Filho, Fernando MÃ¡rio, Vallentin, Frank

Journal:

Geometriae Dedicata

Year:

2013

Language:

english

File:

PDF, 239 KB

english, 2013

17

Spectral bounds for the independence ratio and the chromatic number of an operator

Bachoc, Christine, DeCorte, Evan, de Oliveira Filho, Fernando Mário, Vallentin, Frank

Journal:

Israel Journal of Mathematics

Year:

2014

Language:

english

File:

PDF, 303 KB

english, 2014

18

Fourier Analysis on Finite Groups and the Lovász ϑ-Number of Cayley Graphs

DeCorte, Evan, de Laat, David, Vallentin, Frank

Journal:

Experimental Mathematics

Year:

2014

Language:

english

File:

PDF, 121 KB

english, 2014

19

High-Accuracy Semidefinite Programming Bounds for Kissing Numbers

Mittelmann, Hans, Vallentin, Frank

Journal:

Experimental Mathematics

Year:

2010

Language:

english

File:

PDF, 153 KB

english, 2010

20

[IEEE 2007 IEEE International Symposium on Information Theory - Nice (2007.06.24-2007.06.29)] 2007 IEEE International Symposium on Information Theory - Semidefinite programming bounds for spherical codes

Bachoc, Christine, Vallentin, Frank

Year:

2007

Language:

english

File:

PDF, 327 KB

english, 2007

21

A semidefinite programming hierarchy for packing problems in discrete geometry

de Laat, David, Vallentin, Frank

Journal:

Mathematical Programming

Year:

2015

Language:

english

File:

PDF, 302 KB

english, 2015

22

Fourier analysis, linear programming, and densities of distance avoiding sets in ℝn

de Oliveira Filho, Fernando Mário, Vallentin, Frank

Journal:

Journal of the European Mathematical Society

Year:

2010

Language:

english

File:

PDF, 199 KB

english, 2010

23

Neue Bücher aus Oberwolfbach

Schürmann, Achill, Vallentin, Frank

Journal:

Mitteilungen der Deutschen Mathematiker-Vereinigung

Year:

2012

Language:

german

File:

PDF, 53 KB

german, 2012

24

10.1155/IMRN.2005.1937

Schürmann, Achill, Vallentin, Frank

Journal:

International Mathematics Research Notices

Year:

2005

Language:

english

File:

PDF, 219 KB

english, 2005

25

Neue Bücher aus Oberwolfach

Rendl, Franz, Vallentin, Frank

Journal:

Mitteilungen der Deutschen Mathematiker-Vereinigung

Year:

2010

Language:

german

File:

PDF, 85 KB

german, 2010

26

Complexity and Algorithms for Computing Voronoi Cells of Lattices

Mathieu Dutour Sikirić, Achill Schürmann and Frank Vallentin

Journal:

Mathematics of Computation

Year:

2009

Language:

english

File:

PDF, 1.44 MB

english, 2009

27

A copositive formulation for the stability number of infinite graphs

Dobre, Cristian, Dür, Mirjam, Frerick, Leonhard, Vallentin, Frank

Journal:

Mathematical Programming

Year:

2016

Language:

english

File:

PDF, 490 KB

english, 2016

28

Classification of eight-dimensional perfect forms

Sikirić, Mathieu Dutour, Schürmann, Achill, Vallentin, Frank

Journal:

Electronic Research Announcements of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 226 KB

english, 2007

29

On the Turing Model Complexity of Interior Point Methods for Semidefinite Programming

de Klerk, Etienne, Vallentin, Frank

Journal:

SIAM Journal on Optimization

Year:

2016

Language:

english

File:

PDF, 337 KB

english, 2016

30

Rational factorizations of completely positive matrices

Dutour Sikirić, Mathieu, Schürmann, Achill, Vallentin, Frank

Journal:

Linear Algebra and its Applications

Year:

2017

Language:

english

File:

PDF, 228 KB

english, 2017

31

Complexity and algorithms for computing Voronoi cells of lattices

Dutour Sikirić, Mathieu, Schürmann, Achill, Vallentin, Frank

Journal:

Mathematics of Computation

Year:

2009

Language:

english

File:

PDF, 308 KB

english, 2009

32

Preface: 15th Cologne–Twente Workshop on Graphs and Combinatorial Optimization (CTW 2017)

Peis, Britta, Schaudt, Oliver, Röglin, Heiko, Randerath, Bert, Schrader, Rainer, Vallentin, Frank

Journal:

Discrete Applied Mathematics

Year:

2020

File:

PDF, 166 KB

2020

33

A COUNTEREXAMPLE TO A CONJECTURE OF LARMAN AND ROGERS ON SETS AVOIDING DISTANCE 1

Oliveira Filho, Fernando MÃ¡rio, Vallentin, Frank

Journal:

Year:

2019

File:

PDF, 91 KB

2019