LOCAL VERSUS GLOBAL PROPERTIES OF METRIC SPACES

作者:Arora Sanjeev*; Lovasz Laszlo; Newman Ilan; Rabani Yuval; Rabinovich Yuri; Vempala Santosh
来源:SIAM Journal on Computing, 2012, 41(1): 250-271.
DOI:10.1137/090780304

摘要

Motivated by applications in combinatorial optimization, we study the extent to which the global properties of a metric space, and especially its embeddability into l(1) with low distortion, are determined by the properties of its small subspaces. We establish both upper and lower bounds on the distortion of embedding locally constrained metrics into various target spaces. Other aspects of locally constrained metrics are studied as well, in particular, how far are those metrics from general metrics.

  • 出版日期2012
  • 单位Microsoft