This lecture covers the concept of integer cones, focusing on the properties and theorems related to them. The instructor explains the definition of integer cones, Carathéodory's theorem, and provides examples to illustrate the topic.
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The course aims to introduce the basic concepts and results of integer optimization with special emphasis on algorithmic problems on lattices that have proved to be important in theoretical computer s
Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.
