In this paper, we introduce the generalized capacitated tree-routing problem (GCTR), which is described as follows. Given a connected graph G = (V, E) with a sink s V and a set M...
Gowers [Gow98, Gow01] introduced, for d 1, the notion of dimension-d uniformity Ud (f) of a function f : G C, where G is a finite abelian group. Roughly speaking, if a function ...
Dynamic networks are those where the topology changes over time and therefore efficient routes need to be maintained by frequent updates. Such updates could be costly in terms of ...
Dominique Tschopp, Suhas N. Diggavi, Matthias Gros...
Given an undirected graph G = (V,E) and a source vertex s ∈ V , the k-traveling repairman (KTR) problem, also known as the minimum latency problem, asks for k tours, each starti...
The main result of this paper is a near-optimal derandomization of the affine homomorphism test of Blum, Luby and Rubinfeld (Journal of Computer and System Sciences, 1993). We sho...