In this paper we consider the classical Erd˝os-R´enyi model of random graphs Gn,p. We show that for p = p(n) ≤ n−3/4−δ , for any fixed δ > 0, the chromatic number χ...
Exploring a graph through search is one of the most basic building blocks of various applications. In a setting with a huge state space, such as in testing and verification, optim...
We study the classic problem of estimating the sum of n variables. The traditional uniform sampling approach requires a linear number of samples to provide any non-trivial guarante...
Abstract. Various methods have been used to represent a tree on n nodes in essentially the informationtheoretic minimum space while supporting various navigational operations in co...
We study the boundedness problem for monadic least fixed points as a decision problem. While this problem is known to be undecidable in general and even for syntactically very res...
Following the idea developed by I. Simon in his theorem of Ramseyan factorisation forests, we develop a result of ‘deterministic factorisations’. This extra determinism propert...
We revisit the problem of memory checking considered by Blum et al. [3]. In this model, a checker monitors the behavior of a data structure residing in unreliable memory given an a...
Abstract. We provide a new characterization of certain zero-knowledge protocols as non-interactive instance-dependent commitment-schemes (NIC). To obtain this result we consider th...
We present algebraic conditions on constraint languages Γ that ensure the hardness of the constraint satisfaction problem CSP(Γ) for complexity classes L, NL, P, NP and ModpL. Th...
We present a streaming algorithm for constructing sparse spanners and show that our algorithm out-performs significantly the state-of-the-art algorithm for this task [20]. Speci...