In this paper we formulate spectral clustering in directed graphs as an optimization problem, the objective being a weighted cut in the directed graph. This objective extends seve...
For undirected graphs it has been known for some time that one can bound the diameter using the eigenvalues. In this note we give a similar result for the diameter of strongly con...
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...
We analyze the correctness and complexity of two well-known routing algorithms, introduced by Gafni and Bertsekas (1981): By reversing the directions of some edges, these algorith...
Bernadette Charron-Bost, Antoine Gaillard, Jennife...
A graph with n vertices and maximum degree cannot be given weak sense of direction using less than colours. It is known that n colours are always sufficient, but it has been conje...