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cs.DS2024
Generalized Cuts and Grothendieck Covers: a Primal-Dual Approximation Framework Extending the Goemans--Williamson Algorithm
Nathan Benedetto Proença, Marcel K. de Carli Silva, Cristiane M. Sato +1
We provide a primal-dual framework for randomized approximation algorithms utilizing semidefinite programming (SDP) relaxations. Our framework pairs a continuum of APX-complete pro…
cs.DM2024
On Rank-Monotone Graph Operations and Minimal Obstruction Graphs for the Lovász--Schrijver SDP Hierarchy
Yu Hin Au, Levent Tunçel
We study the lift-and-project rank of the stable set polytopes of graphs with respect to the Lovász--Schrijver SDP operator , with a particular focus on finding and ch…