Local Versus Global Properties of Metric Spaces

d Abstract) Sanjeev Arora∗ L´aszl´o Lov´asz† Ilan Newman‡ Yuval Rabani§ Yuri Rabinovich¶ Santosh Vempala 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 1 with low distortion) are determined by properties of “small” sets. We prove both positive and negative results.

• Type: Journal
• Year: 2012
• Where: SIAMCOMP
• Authors: Sanjeev Arora, László Lovász, Ilan Newman, Yuval Rabani, Yuri Rabinovich, Santosh Vempala
• Keywords: Logical Reasoning, Sanjeev Arora, SIAMCOMP 2012, Yuri Rabinovich, Yuval Rabani