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  • 标题:Extension Complexity of Independent Set Polytopes
  • 本地全文:下载
  • 作者:Mika Göös ; Rahul Jain ; Thomas Watson
  • 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.
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