Graphs are called navigable if one can find short paths through them using only local knowledge. It has been shown that for a graph to be navigable, its construction needs to mee...
The central observation of this paper is that if ǫn random arcs are added to any n-node strongly connected digraph with bounded degree then the resulting graph has diameter O(ln ...
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...
— Coalescence is the problem of isolated mobile robots independently searching for peers with the goal of forming a single connected network. This is important because communicat...
Abstract We study the influence of spatially correlated noise on the transient dynamics of a recurrent network with Mexican-Hat type connectivity. We derive the closed form of the ...