Consider k particles, 1 red and k −1 white, chasing each other on the nodes of a graph G. If the red one catches one of the white, it “infects” it with its color. The newly ...
Tassos Dimitriou, Sotiris E. Nikoletseas, Paul G. ...
Jim Propp’s P-machine, also known as the ‘rotor router model’ is a simple deterministic process that simulates a random walk on a graph. Instead of distributing chips to ran...
Joshua N. Cooper, Benjamin Doerr, Joel H. Spencer,...
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
We propose a new `Mark-Ant-Walk' algorithm for robust and efficient covering of continuous domains by ant-like robots with very limited capabilities. The robots can mark plac...
Eliyahu Osherovich, Vladimir Yanovski, Israel A. W...
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...