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A Colorful Steinitz Lemma Applied to Block Integer Programs

Mathematics of Data & Decisions

Speaker: Joseph Paat, University of British Columbia
Location: Zoom
Start time: Tue, May 10 2022, 1:10PM

Block integer programs (IPs) model a wide range of problems including those in social choice, scheduling, and stochastic optimization. Recently, algorithms for block IPs have been improved by using the so-called Steinitz Lemma, which is a statement about the rearrangement of a set of vectors. In this work, we develop a variation of the Steinitz Lemma that rearranges multiple sets simultaneously. We briefly demonstrate how our variation can be used to derive new results for block IPs. This is joint work with Timm Oertel and Robert Weismantel.