Publications

• Generalized Cuts and Grothendieck Covers: a Primal-Dual Approximation Framework Extending the Goemans–Williamson Algorithm
  (with Nathan Benedetto Proença, Cristiane M. Sato, and Levent Tunçel)
  submitted
  [arxiv]
• A Primal-Dual Extension of the Goemans–Williamson Algorithm for the Weighted Fractional Cut-Covering Problem
  (with Nathan Benedetto Proença, Cristiane M. Sato, and Levent Tunçel)
  submitted
  [arxiv]
• An eigenvalue bound for the fractional chromatic number
  (with Gabriel Coutinho and Rafael Grandsire)
  submitted
  [arxiv]
• Dual Hoffman Bounds for the Stability and Chromatic Numbers Based on Semidefinite Programming
  (with Nathan Benedetto Proença and Gabriel Coutinho)
  SIAM Journal on Discrete Mathematics 35.4 (2021), pp. 2880–2907
  [arxiv]
• A Notion of Total Dual Integrality for Convex, Semidefinite, and Extended Formulations
  (with Levent Tunçel)
  SIAM Journal on Discrete Mathematics 34.1 (2020), pp. 470–496
  [arxiv]
• Algebras, Graphs and Thetas
  (with Gabriel Coutinho, Chris Godsil, and David E. Roberson)
  Electronic Notes in Theoretical Computer Science, Vol. 346 (2019), pp. 275–283
  [arxiv]
• Strict Complementarity in Semidefinite Optimization with Elliptopes Including the MaxCut SDP
  (with Levent Tunçel)
  SIAM Journal on Optimization 29.4 (2019), pp. 2650–2676
  [arxiv]
• Commute Time as a Method to Explore Brain Functional Connectomes
  (with João R. Sato, Cristiane M. Sato, and Claudinei E. Biazoli Jr.)
  Brain Connectivity, Vol. 9, No. 2 (Mar 2019)
• An Axiomatic Duality Framework for the Theta Body and Related Convex Corners
  (with Levent Tunçel)
  Mathematical Programming 162, Issue 1–2 (Mar 2017), pp. 283–323
  [arxiv]
• Flag algebras: a first glance
  (with Fernando Mário de Oliveira Filho and Cristiane M. Sato)
  Nieuw Archief voor Wiskunde 17.3 (Sep 2016), pp. 193–199
  [arxiv]
• Sparse sums of positive semidefinite matrices
  (with Nicholas J. A. Harvey and Cristiane M. Sato)
  ACM Transactions on Algorithms 12.1 (Dec 2015), Article 9
  [arxiv]
• Vertices of Spectrahedra arising from the Elliptope, the Theta Body, and Their Relatives
  (with Levent Tunçel)
  SIAM Journal on Optimization 25.1 (2015), pp. 295–316
  [arxiv]
• Optimization Problems over Unit-Distance Representations of Graphs
  (with Levent Tunçel)
  Electronic Journal of Combinatorics 20.1 (2013), Paper 43.
  [arxiv] [errata]