— In this paper, we study the performance of the 2-hop routing scheme proposed for ad hoc wireless networks with mobile nodes, considering realistic node mobility patterns. First...
An edge cover C of an undirected graph is a set of edges such that every vertex has an adjacent edge in C. We show that a Glauber dynamics Markov chain for edge covers mixes rapidl...
The problem of efficiently monitoring the network flow is regarded as the one to find out the minimum weighted weak vertex cover set for a given graph G = (V, E) with weight func...
Let m be a positive integer and let G be a graph. We consider the question: can the edge set E(G) of G be expressed as the union of a set M of matchings of G each of which has siz...
Sense of direction is a property of labelled networks (i.e., arc-coloured graphs) that allows one to assign coherently local identifiers to other processors on the basis of the ro...