Compression bounds for Lipschitz maps from the Heisenberg group to $L_1$

Details Compression bounds for Lipschitz maps from the Heisenberg group to $L_1$ Compression bounds for Lipschitz maps from the Heisenberg group to $L_1$

2009-10-11

arxiv.org/abs/0910.2026v1

Mathematics

Metric Geometry

Scientific paper

We prove a quantitative bi-Lipschitz nonembedding theorem for the Heisenberg
group with its Carnot-Carath\'eodory metric and apply it to give a lower bound
on the integrality gap of the Goemans-Linial semidefinite relaxation of the
Sparsest Cut problem.

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