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The representation of the body in the brain is continuously updated with regard to peripheral factors such as position or movement of body parts. In the present study, we investigated the effects of arm posture on the mental rotation of hands and feet. Six ...
A dominating set D of a graph G is a set such that each vertex v of G is either in the set or adjacent to a vertex in the set. Matheson and Tarjan (1996) proved that any n-vertex plane triangulation has a dominating set of size at most n/3, and conjectured ...
Abstract: A simplicial complex C on a d-dimensional configuration of n points is k-regular if its faces are projected from the boundary complex of a polytope with dimension at most d+k. Since C is obviously (n-d-1)-regular, the set of all integers k for wh ...
In threshold graphs one may find weights for the vertices and a threshold value t such that for any subset S of vertices, the sum of the weights is at most the threshold t if and only if the set S is a stable (independent) set. In this note we ask a simila ...
We consider the problem of distributed estimation, where a set of nodes are required to collectively estimate some parameter of interest. We motivate and propose new versions of the diffusion LMS algorithm, including a version that outperforms previous sol ...
Let {X(t), t is an element of R-N} be a fractional Brownian motion in R-d of index H. If L(0,I) is the local time of X at 0 on the interval I subset of R-N, then there exists a positive finite constant c(=c(N,d,H)) such that ...
The main goal of this project is to build a mean and to populate a database with correct information regarding some decided pairings. This database will then be compared to the results of algorithms that process the same pairings, which provides a way to a ...
The k-set-agreement problem consists for a set of n processes to agree on less than k among n possibly different Values, each initially known to only one process. The problem is at the heart of distributed computing and generalizes the celebrated consensus ...
The so-called first selection lemma states the following: given any set P of n points in a"e (d) , there exists a point in a"e (d) contained in at least c (d) n (d+1)-O(n (d) ) simplices spanned by P, where the constant c (d) depends on d. We present impro ...
