Luis Vargas

Full Name

L.F. Vargas

Luis.Vargas@cwi.nl

Phone

+31 20 592 4170

Room

M240

Department(s)

Networks and Optimization

Function(s)

Project member

Homepage

https://sites.google.com/view/luisfelipevargas/home

Biography

Since November 2019, Luis Felipe Vargas is a PhD student in the Networks and Optimization Group at CWI under the supervision of Monique Laurent. Before that he obtained a Bachelor's and Master's degree in Mathematics from Universidad de Los Andes in Colombia. His research at CWI is focused on semidefinite approximations for graph parameters. His PhD is a part of the Marie Skłodowska-Curie Innovative Training Network POEMA: Polynomial Optimization, Efficiency through Moments and Algebra.

Vargas, L.F. (2023, November 3). Sum-of-squares representations for copositive matrices and independent sets in graphs. Center dissertation series. Retrieved from http://dx.doi.org/10.26116/wakk-nb59
Vargas, L.F, & Laurent, M. (2023). Copositive matrices, sums of squares and the stability number of a graph. In Polynomial Optimization, Moments, and Applications (pp. 99–132).
Laurent, M, & Vargas, L.F. (2022). On the exactness of sum-of-squares approximations for the cone of 5 × 5 copositive matrices. Linear Algebra and its Applications, 651, 26–50. doi:10.1016/j.laa.2022.06.015
Laurent, M, & Vargas, L.F. (2022). Exactness of Parrilo’s conic approximations for copositive matrices and associated low order bounds for the stability number of a graph. Mathematics of Operations Research, 1–27. doi:10.1287/moor.2022.1290
Laurent, M, & Vargas, L.F. (2022). Finite convergence of sum-of-squares hierarchies for the stability number of a graph. SIAM Journal on Optimization, 32(2), 491–518. doi:10.1137/21M140345X

Best Poster Award at IPCO 2021 (2021)

Luis Vargas

Biography

Publications

Awards

Luis Vargas

Biography

Publications

Awards

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