Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...
In this article, we study the problem of distributed selection from a theoretical point of view. Given a general connected graph of diameter D consisting of n nodes in which each ...
A weighted undirected network is ∆ growth-bounded if the number of nodes at distance 2r around any given node is at most ∆ times the number of nodes at distance r around the n...
—We analyze how node mobility can influence the convergence time of averaging gossip algorithms on networks. Our main result is that even a small number of fully mobile nodes ca...
Different types of two- and three-dimensional representations of a finite metric space are studied that focus on the accurate representation of the linear order among the distance...