A SEPARATION ALGORITHM FOR THE MATCHABLE SET POLYTOPE

被引:7
|
作者
CUNNINGHAM, WH
GREENKROTKI, J
机构
[1] UNIV WATERLOO, DEPT COMBINATOR & OPTIMIZAT, WATERLOO N2L 3G1, ONTARIO, CANADA
[2] UNIV BONN, FORSCHUNGSINST DISKRETE MATH, W-5300 BONN, GERMANY
关键词
COMBINATORIAL OPTIMIZATION; POLYHEDRA; MATCHING; MATCHABLE SET; SEPARATION ALGORITHM; AUGMENTING PATH;
D O I
10.1007/BF01581694
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
A matchable set of a graph is a set of vertices joined in pairs by disjoint edges. Balas and Pulleyblank gave a linear-inequality description of the convex hull of matchable sets. We give a polynomial-time conbinatorial algorithm for the separation problem for this polytope, and a min-max theorem characterizing the maximum violation by a given point of an inequality of the system.
引用
收藏
页码:139 / 150
页数:12
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