Consider two parties who wish to communicate in order to execute some interactive protocol $\pi$. However, the communication channel between them is noisy: An adversary sees everything that is transmitted over the channel and can change a constant fraction of the bits as he pleases, thus interrupting the execution of ... more >>>

We consider an instance of the following problem: Parties $P_1,..., P_k$ each receive an input $x_i$, and a coordinator (distinct from each of these parties) wishes to compute $f(x_1,..., x_k)$ for some predicate $f$. We are interested in one-round protocols where each party sends a single message to the coordinator; ... more >>>

We develop a new algebraic technique that gives a simple randomized algorithm for the simple $k$-path problem with the same complexity $O^*(1.657^k)$ as in [A. Bj\"orklund. Determinant Sums for Undirected Hamiltonicity. FOCS 2010, pp. 173--182, (2010). A. Bj\"orklund, T. Husfeldt, P. Kaski, M. Koivisto. Narrow sieves for parameterized paths and ... more >>>