Works by Vallentin, Frank

Results: 17

Fourier analysis, linear programming, and densities of distance avoiding sets in R<sup>n</sup>.

Published in:

Journal of the European Mathematical Society (EMS Publishing), 2010, v. 12, n. 6, p. 1417, doi. 10.4171/JEMS/236

By:

Mário de Oliveira Filho, Fernando;
Vallentin, Frank

Publication type:

Article

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

Published in:

Experimental Mathematics, 2014, v. 23, n. 2, p. 146, doi. 10.1080/10586458.2014.882170

By:

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

Publication type:

Article

k-Point semidefinite programming bounds for equiangular lines.

Published in:

Mathematical Programming, 2022, v. 194, n. 1/2, p. 533, doi. 10.1007/s10107-021-01638-x

By:

de Laat, David;
Machado, Fabrício Caluza;
Filho, Fernando Mário de Oliveira;
Vallentin, Frank

Publication type:

Article

Complete positivity and distance-avoiding sets.

Published in:

Mathematical Programming, 2022, v. 191, n. 2, p. 487, doi. 10.1007/s10107-020-01562-6

By:

DeCorte, Evan;
Filho, Fernando Mário de Oliveira;
Vallentin, Frank

Publication type:

Article

A simplex algorithm for rational cp-factorization.

Published in:

Mathematical Programming, 2021, v. 187, n. 1/2, p. 25, doi. 10.1007/s10107-020-01467-4

By:

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

Publication type:

Article

A copositive formulation for the stability number of infinite graphs.

Published in:

Mathematical Programming, 2016, v. 160, n. 1/2, p. 65, doi. 10.1007/s10107-015-0974-2

By:

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

Publication type:

Article

A semidefinite programming hierarchy for packing problems in discrete geometry.

Published in:

Mathematical Programming, 2015, v. 151, n. 2, p. 529, doi. 10.1007/s10107-014-0843-4

By:

Laat, David;
Vallentin, Frank

Publication type:

Article

Computing the EHZ capacity is \operatorname{NP}-hard.

Published in:

Proceedings of the American Mathematical Society, Series B, 2024, v. 11, p. 603, doi. 10.1090/bproc/250

By:

Leipold, Karla;
Vallentin, Frank

Publication type:

Article

A milestone for the solution to the lattice sphere covering problem in dimension n = 6.

Published in:

Acta Crystallographica. Section A, Foundations & Advances, 2025, v. 81, n. 1, p. 5, doi. 10.1107/S2053273324011513

By:

Vallentin, Frank

Publication type:

Article

BOUNDS FOR PROJECTIVE CODES FROM SEMIDEFINITE PROGRAMMING.

Published in:

Advances in Mathematics of Communications, 2013, v. 7, n. 2, p. 127, doi. 10.3934/amc.2013.7.127

By:

BACHOC, CHRISTINE;
PASSUELLO, ALBERTO;
VALLENTIN, FRANK

Publication type:

Article

New dense superball packings in three dimensions.

Published in:

Advances in Geometry, 2020, v. 20, n. 4, p. 473, doi. 10.1515/advgeom-2020-0002

By:

Dostert, Maria;
Vallentin, Frank

Publication type:

Article

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

Published in:

Mathematika, 2019, v. 65, n. 3, p. 785, doi. 10.1112/S0025579319000160

By:

de Oliveira Filho, Fernando Mário;
Vallentin, Frank

Publication type:

Article

New Upper Bounds for the Density of Translative Packings of Three-Dimensional Convex Bodies with Tetrahedral Symmetry.

Published in:

Discrete & Computational Geometry, 2017, v. 58, n. 2, p. 449, doi. 10.1007/s00454-017-9882-y

By:

Dostert, Maria;
Guzmán, Cristóbal;
Filho, Fernando;
Vallentin, Frank

Publication type:

Article

The Contact Polytope of the Leech Lattice.

Published in:

Discrete & Computational Geometry, 2010, v. 44, n. 4, p. 904, doi. 10.1007/s00454-010-9266-z

By:

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

Publication type:

Article

Critical Even Unimodular Lattices in the Gaussian Core Model.

Published in:

IMRN: International Mathematics Research Notices, 2023, v. 2023, n. 6, p. 5352, doi. 10.1093/imrn/rnac164

By:

Heimendahl, Arne;
Marafioti, Aurelio;
Thiemeyer, Antonia;
Vallentin, Frank;
Zimmermann, Marc Christian

Publication type:

Article

Coloring the Voronoi tessellation of lattices.

Published in:

Journal of the London Mathematical Society, 2021, v. 104, n. 3, p. 1135, doi. 10.1112/jlms.12456

By:

Dutour Sikirić, Mathieu;
Madore, David A.;
Moustrou, Philippe;
Vallentin, Frank

Publication type:

Article

Local covering optimality of lattices: Leech lattice versus root lattice E8.

Published in:

IMRN: International Mathematics Research Notices, 2005, v. 2005, n. 32, p. 1937, doi. 10.1155/imrn.2005.1937

By:

Schürmann, Achill;
Vallentin, Frank

Publication type:

Article