# Cuts, Trees and ℓ1-Embeddings of Graphs*

@article{Gupta2004CutsTA,
title={Cuts, Trees and ℓ1-Embeddings of Graphs*},
author={Anupam Gupta and Ilan Newman and Yuri Rabinovich and Alistair Sinclair},
journal={Combinatorica},
year={2004},
volume={24},
pages={233-269}
}
Motivated by many recent algorithmic applications, this paper aims to promote a systematic study of the relationship between the topology of a graph and the metric distortion incurred when the graph is embedded into ℓ1 space. The main results are:1. Explicit constant-distortion embeddings of all series-parallel graphs, and all graphs with bounded Euler number. These are the first natural families known to have constant distortion (strictly greater than 1). Using the above embeddings, algorithms… Expand

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