The F5 algorithm is presented by Faug`ere in 2002. However, Faug`ere have not provide the rigorous proofs so far. In this paper, we will give a new complete proof and hence reveal ...
Abstract. We present new faster deterministic and probabilistic recombination algorithms to compute the irreducible decomposition of a bivariate polynomial via the classical Hensel...
This article is a survey of developments in algorithmic convex geometry over the past decade. These include algorithms for sampling, optimization, integration, rounding and learni...
Abstract. In this work we present two algorithms of irregular scatter/gather operations based on the binomial tree and Tr¨aff algorithms. We use the prediction provided by hetero...
Kiril Dichev, Vladimir Rychkov, Alexey L. Lastovet...
A dominating set of a graph G = (V, E) is a subset V V of the nodes such that for all nodes v V , either v V or a neighbor u of v is in V . Several routing protocols in ad hoc ...
Alaa Eddien Abdallah, Thomas Fevens, Jaroslav Opat...