Optimization Problems over Unit-Distance Representations of Graphs. - Marcel Kenji de Carli Silva; Levent Tunçel (Electron. J. Comb., 2013)

Vertices of Spectrahedra arising from the Elliptope, the Theta Body, and Their Relatives. - Marcel Kenji de Carli Silva; Levent Tunçel (SIAM J. Optim., 2015)

Sparse Sums of Positive Semidefinite Matrices. - Marcel Kenji de Carli Silva; Nicholas J. A. Harvey; Cristiane M. Sato (ACM Trans. Algorithms, 2016)

An axiomatic duality framework for the theta body and related convex corners. - Marcel Kenji de Carli Silva; Levent Tunçel (Math. Program., 2017)

Commute Time as a Method to Explore Brain Functional Connectomes. - João Ricardo Sato; Cristiane M. Sato; Marcel Kenji de Carli Silva; Claudinei Eduardo Biazoli Jr. (Brain Connect., 2019)

Algebras, Graphs and Thetas. - Marcel Kenji de Carli Silva; Gabriel Coutinho; Chris D. Godsil; David E. Roberson (LAGOS, 2019)

Strict Complementarity in Semidefinite Optimization with Elliptopes Including the MaxCut SDP. - Marcel Kenji de Carli Silva; Levent Tunçel (SIAM J. Optim., 2019)

A Notion of Total Dual Integrality for Convex, Semidefinite, and Extended Formulations. - Marcel Kenji de Carli Silva; Levent Tunçel (SIAM J. Discret. Math., 2020)

Dual Hoffman Bounds for the Stability and Chromatic Numbers Based on Semidefinite Programming. - Nathan Benedetto Proença; Marcel Kenji de Carli Silva; Gabriel Coutinho (SIAM J. Discret. Math., 2021)

A Primal-Dual Extension of the Goemans-Williamson Algorithm for the Weighted Fractional Cut-Covering Problem. - Nathan Benedetto Proença; Marcel Kenji de Carli Silva; Cristiane M. Sato; Levent Tunçel (CoRR, 2023)