The k-round two-party communication complexity was studied in the deterministic model by [14] and [4] and in the probabilistic model by [20] and [6]. We present new lower bounds th...
We consider the problem of testing the commutativity of a black-box group specified by its k generators. The complexity (in terms of k) of this problem was first considered by Pa...
One major open problem in network coding is to characterize the capacity region of a general multi-source multi-demand network. There are some existing computational tools for boun...
We investigate the randomized and quantum communication complexity of the HAMMING DISTANCE problem, which is to determine if the Hamming distance between two n-bit strings is no l...
— We consider a ring topology with limited or full switching capability as deployed in high bandwidth metro optical networks and develop a model to estimate the probability of bl...