Upper bounds for packings of spheres of several radii D De Laat, FM de Oliveira Filho, F Vallentin
Forum of Mathematics, Sigma 2, e23, 2014
58 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
52 2009 Fourier analysis, linear programming, and densities of distance avoiding sets in FM de Oliveira Filho, F Vallentin
Journal of the European Mathematical Society 12 (6), 1417-1428, 2010
51 * 2010 Grothendieck inequalities for semidefinite programs with rank constraint J Briët, F Vallentin
arXiv preprint arXiv:1011.1754, 2010
45 2010 The positive semidefinite Grothendieck problem with rank constraint J Briët, FM de Oliveira Filho, F Vallentin
International Colloquium on Automata, Languages, and Programming, 31-42, 2010
44 2010 Improving the semidefinite programming bound for the kissing number by exploiting polynomial symmetry F Caluza Machado, FM de Oliveira Filho
Experimental Mathematics 27 (3), 362-369, 2018
31 2018 New upper bounds for the density of translative packings of three-dimensional convex bodies with tetrahedral symmetry M Dostert, C Guzmán, FMO Filho, F Vallentin
Discrete & Computational Geometry 58 (2), 449-481, 2017
25 2017 Spectral bounds for the independence ratio and the chromatic number of an operator C Bachoc, E DeCorte, FM de Oliveira Filho, F Vallentin
Israel Journal of Mathematics 202 (1), 227-254, 2014
21 2014 Complete positivity and distance-avoiding sets E DeCorte, FMO Filho, F Vallentin
Mathematical Programming, 1-72, 2022
19 2022 Relaxations of combinatorial problems via association schemes E de Klerk, FM de Oliveira Filho, DV Pasechnik
Handbook on semidefinite, conic and polynomial optimization, 171-199, 2012
16 2012 Computing upper bounds for the packing density of congruent copies of a convex body FM de Oliveira Filho, F Vallentin
New trends in intuitive geometry, 155-188, 2018
15 2018 New bounds for geometric packing and coloring via harmonic analysis and optimization FM de Oliveira Filho
13 2009 Flag algebras: A first glance MK Silva, CM Sato
arXiv preprint arXiv:1607.04741, 2016
10 2016 Better bounds for planar sets avoiding unit distances T Keleti, M Matolcsi, FM de Oliveira Filho, IZ Ruzsa
Discrete & Computational Geometry 55, 642-661, 2016
10 2016 New reduction techniques for the group Steiner tree problem CE Ferreira, FM de Oliveira Filho
SIAM Journal on Optimization 17 (4), 1176-1188, 2007
9 2007 k -Point semidefinite programming bounds for equiangular linesD de Laat, FC Machado, FMO Filho, F Vallentin
Mathematical Programming, 1-35, 2022
8 2022 Some formulations for the group steiner tree problem CE Ferreira, FM de Oliveira Filho
Discrete applied mathematics 154 (13), 1877-1884, 2006
8 2006 A recursive Lovász theta number for simplex-avoiding sets D Castro-Silva, F de Oliveira Filho, L Slot, F Vallentin
Proceedings of the American Mathematical Society 150 (8), 3307-3322, 2022
6 2022 A quantitative version of Steinhaus’ theorem for compact, connected, rank-one symmetric spaces FM de Oliveira Filho, F Vallentin
Geometriae Dedicata 167 (1), 295-307, 2013
5 2013 Mathematical optimization for packing problems FM DE OLIVEIRA FILHO, F VALLENTIN
arXiv preprint arXiv:1403.1166, 2014
4 2014 