Bisubmodular function minimization

被引：30

作者：

Fujishige, S ^{[1
]}

Iwata, S

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

[2] Univ Tokyo, Dept Math Informat, Tokyo 1138656, Japan

来源：

SIAM JOURNAL ON DISCRETE MATHEMATICS | 2006年 / 19卷 / 04期

关键词：

bisubmodular function; delta-matroid; scaling algorithm;

D O I：

10.1137/S0895480103426339

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents the first combinatorial polynomial algorithm for minimizing bisubmodular functions, extending the scaling algorithm for submodular function minimization due to Iwata, Fleischer, and Fujishige. Since the rank functions of delta-matroids are bisubmodular, the scaling algorithm naturally leads to the first combinatorial polynomial algorithm for testing membership in delta-matroid polyhedra.

引用

页码：1065 / 1073

页数：9

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