期刊名称:Electronic Colloquium on Computational Complexity
印刷版ISSN:1433-8092
出版年度:2016
卷号:2016
出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
摘要:We exhibit an n -node graph whose independent set polytope requires extended formulations of size exponential in ( n log n ) . Previously, no explicit examples of n -dimensional 0 1 -polytopes were known with extension complexity larger than exponential in ( n ) . Our construction is inspired by a relatively little-known connection between extended formulations and (monotone) circuit depth.