ADJACENCY OF THE BEST AND 2ND BEST VALUED SOLUTIONS IN COMBINATORIAL OPTIMIZATION PROBLEMS

被引：4
|
作者：
IKEBE, Y
MATSUI, T
TAMURA, A
机构：
[1] TOKYO INST TECHNOL,DEPT THEORET PHYS,2-12-1 OH OKAYAMA,MEGURO KU,TOKYO 152,JAPAN
[2] SCI UNIV TOKYO,DEPT IND ADM,NODA,CHIBA 278,JAPAN
来源：
DISCRETE APPLIED MATHEMATICS | 1993年 / 47卷 / 03期
关键词：
D O I：
10.1016/0166-218X(93)90128-B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We say that a polytope satisfies the strong adjacency property if every best valued extreme point of the polytope is adjacent to some second best valued extreme point for any weight vector. Perfect matching polytopes satisfy this property. In this paper, we give sufficient conditions for a polytope to satisfy the strong adjacency property. From this, binary b-matching polytopes, set partitioning polytopes, set packing polytopes, etc. satisfy the strong adjacency property.
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页码：227 / 232
页数：6
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