An exact algorithm for minimum distortion embedding

Fomin, Fedor V. ; Lokshtanov, Daniel ; Saurabh, Saket (2011) An exact algorithm for minimum distortion embedding Theoretical Computer Science, 412 (29). pp. 3530-3536. ISSN 0304-3975

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Official URL: http://doi.org/10.1016/j.tcs.2011.02.043

Related URL: http://dx.doi.org/10.1016/j.tcs.2011.02.043

Abstract

Let G be an unweighted connected graph on n vertices. We show that an embedding of the shortest path metric of G into the line with minimum distortion can be found in time 5n+o(n). This is the first algorithm breaking the trivial n!-barrier.

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