We derive variational equations to analyze the stability of synchronization for coupled near-identical oscillators. To study the effect of parameter mismatch on the stability in a ...
In property testing, we are given oracle access to a function f, and we wish to test if the function satisfies a given property P, or it is ε-far from having that property. In a...
We show that Graph Isomorphism is in the complexity class SPP, and hence it is in ⊕P (in fact, it is in ModkP for each k ≥ 2). We derive this result as a corollary of a more g...
The most common approach to community identification of directed networks has been to ignore edge directions and apply methods developed for undirected networks. Recently, Leicht a...
Recent years have seen a significant increase in our understanding of high-dimensional nearest neighbor search (NNS) for distances like the 1 and 2 norms. By contrast, our underst...