Bandwidth and low dimensional embedding

THEORETICAL COMPUTER SCIENCE, pp. 44-56, 2013.

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Abstract:

We design an algorithm to embed graph metrics into l(p) with dimension and distortion both dependent only upon the bandwidth of the graph. In particular, we show that any graph of bandwidth k embeds with distortion polynomial in k into (l(g)(o(logk))), 1 <= p <= 00 Prior to our result the only known embedding with distortion independent o...More

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