Here we prove an asymptotically optimal lower bound on the information complexity of the k-party disjointness function with the unique intersection promise, an important special ca...
Many researchers have attempted to predict the Enron corporate hierarchy from the data. This work, however, has been hampered by a lack of data. We present a new, large, and freel...
This paper presents strategies for improving the known upper and lower bounds for the bandwidth of Hamming graphs (Kn)d and [0, 1]d. Our labeling strategy lowers the upper bound o...
J. Balogh, Sergei L. Bezrukov, L. H. Harper, &Aacu...
We obtain a lower bound of n 1 k+1 22k (k-1)2k-1 on the k-party randomized communication complexity of the Disjointness function in the `Number on the Forehead' model of mul...
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...