We prove that for every positive integer r and for every graph class G of bounded expansion, the r-Dominating Set problem admits a linear kernel on graphs from G. Moreover, in the...
The quantitative verification of Probabilistic Automata (PA) is undecidable in general. Unary PA are a simpler model where the choice of action is fixed. Still, the quantitative...
S. Akshay, Blaise Genest, Bruno Karelovic, Nikhil ...
We study the question of testing structured properties (classes) of discrete distributions. Specifically, given sample access to an arbitrary distribution D over [n] and a proper...
John Tromp introduced the so-called ’binary lambda calculus’ as a way to encode lambda terms in terms of 0−1-strings. Later, Grygiel and Lescanne conjectured that the number...
We prove that satisfiability over infinite words is decidable for a fragment of asymptotic monadic second-order logic. In this fragment we only allow formulae of the form ∃t...
Two intimately related new classes of games are introduced and studied: entropy games (EGs) and matrix multiplication games (MMGs). An EG is played on a finite arena by two-and-a...
We consider the complexity of the Hamilton cycle decision problem when restricted to k-uniform hypergraphs H of high minimum codegree δ(H). We show that for tight Hamilton cycles...
We show an exponential separation between two well-studied models of algebraic computation, namely read-once oblivious algebraic branching programs (ROABPs) and multilinear depth ...
A tournament is a directed graph T such that every pair of vertices is connected by an arc. A feedback vertex set is a set S of vertices in T such that T −S is acyclic. In this ...