In edge colouring it is often useful to have information about the degree distribution of the neighbours of a given vertex. For example, the well known Vizing's Adjacency Lem...
The smallest n such that every colouring of the edges of Kn must contain a monochromatic star K1,s+1 or a properly edge-coloured Kt is denoted by f(s, t). Its existence is guarant...
— Scheduling by Edge Reversal (SER) is a fully distributed scheduling mechanism based on the manipulation of acyclic orientations of a graph. This work uses SER to perform constr...
We construct finite groups whose Cayley graphs have large girth even w.r.t. a discounted distance measure that contracts arbitrarily long sequences of edges from the same colour ...
We consider the problem of maintaining a dynamic planar graph subject to edge insertions and edge deletions that preserve planarity but that can change the embedding. We describe a...
David Eppstein, Zvi Galil, Giuseppe F. Italiano, T...