Local versus Global Properties of Metric Spaces Extended abstract

被引：6

作者：

Arora, Sanjeev ^{[1
]}

Lovasz, Laszlo ^{[2
,3
]}

Newman, Ilan ^{[4
]}

Rabani, Yuval ^{[5
]}

Rabinovich, Yuri ^{[4
]}

Vempala, Santosh ^{[6
]}

机构：

[1] Princeton Univ, Dept Comp Sci, Princeton, NJ 08544 USA

[2] Microsoft Res, Redmond, WA 98052 USA

[3] Lorand Univ, Dept Comp Sci, Budapest, Hungary

[4] Univ Haifa, Dept Comp Sci, IL-31905 Haifa, Israel

[5] Technion, Dept Comp Sci, IL-32000 Haifa, Israel

[6] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

PROCEEDINGS OF THE SEVENTHEENTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS | 2006年

关键词：

D O I：

10.1145/1109557.1109563

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Motivated by applications in combinatorial optimization, we initiate a study of the extent to which the global properties of a metric space (especially, embeddability in l(1) with low distortion) are determined by the properties of small subspaces. We note connections to similar issues studied already in Ramsey theory, complexity theory (especially PCPs), and property testing. We prove both upper bounds and lower bounds on the distortion of embedding locally constrained metrics into various target spaces.

引用

页码：41 / +

页数：3

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