Randomized compact routing in decomposable metrics

We study the compact routing problem in networks whose shortest path metrics are decomposable. Decomposable metrics are more general than doubling metrics, growth-bounded metrics, and metrics induced by graphs excluding Kr,r as a minor. In this work, we present both name-dependent and name-independent constant stretch compact routing schemes for bounded decomposable metrics with polylogarithmic storage requirements at each node and polylogarithmic packet headers. Our work is the first to design compact routing schemes with constant stretch for networks as general as decomposable metrics.