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» Tight Bounds for the Cover Time of Multiple Random Walks
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ADHOCNOW
2004
Springer
13 years 10 months ago
Analysis of the Information Propagation Time Among Mobile Hosts
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. ...
EJC
2007
13 years 5 months ago
Deterministic random walks on the integers
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,...
SPAA
1993
ACM
13 years 9 months ago
Optimal Parallel Construction of Hamiltonian Cycles and Spanning Trees in Random Graphs
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...
Philip D. MacKenzie, Quentin F. Stout
IJRR
2008
92views more  IJRR 2008»
13 years 5 months ago
Robust and Efficient Covering of Unknown Continuous Domains with Simple, Ant-Like A(ge)nts
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...
ICALP
2011
Springer
12 years 8 months ago
Vertex Cover in Graphs with Locally Few Colors
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 ...
Fabian Kuhn, Monaldo Mastrolilli