A SIMPLE INTRODUCTION TO HIGHER ORDER LIFTINGS FOR BINARY PROBLEMS

被引：0

作者：

Jarre, Florian ^{[1
]}

机构：

[1] Heinrich Heine Univ Dusseldorf, Math Inst, D-40225 Dusseldorf, Germany

来源：

PACIFIC JOURNAL OF OPTIMIZATION | 2023年 / 19卷 / 03期

关键词：

binary problems; higher order liftings; MAX-CUT; RELAXATIONS; OPTIMIZATION; MATRICES;

D O I：

暂无

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

A short, simple, and self-contained proof is presented showing that n-th lifting for the max-cut-polytope is exact. The proof re-derives the known observations that the max-cut-polytope is the projection of a higher-dimensional regular simplex and that this simplex coincides with the n-th semidefinite lifting. An extension to reduce the dimension of higher order liftings and to include linear equality and inequality constraints concludes this paper

引用

页码：411 / 421

页数：11

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