Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wishes to partition G into connected components by del...
The regularity lemma of Szemer´edi gives a concise approximate description of a graph via a so called regular-partition of its vertex set. In this paper we address the following ...
For a given graph G, we fix s, and partition the vertex set into s classes, so that any given class contains few edges. The result gives a partition (U1,
We present fast algorithms for constructing probabilistic embeddings and approximate distance oracles in sparse graphs. The main ingredient is a fast algorithm for sampling the pr...
One approach to modeling structured discrete data is to describe the probability of states via an energy function and Gibbs distribution. A recurring difficulty in these models is...
Daniel Tarlow, Ryan Prescott Adams, Richard S. Zem...