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STOC
2007
ACM
110views Algorithms» more  STOC 2007»
16 years 3 days ago
Randomly coloring planar graphs with fewer colors than the maximum degree
Thomas P. Hayes, Juan Carlos Vera, Eric Vigoda
STACS
2007
Springer
15 years 6 months ago
Broadcasting vs. Mixing and Information Dissemination on Cayley Graphs
One frequently studied problem in the context of information dissemination in communication networks is the broadcasting problem. In this paper, we study the following randomized b...
Robert Elsässer, Thomas Sauerwald
MFCS
2007
Springer
15 years 6 months ago
Uncover Low Degree Vertices and Minimise the Mess: Independent Sets in Random Regular Graphs
Abstract. We present algorithmic lower bounds on the size of the largest independent sets of vertices in a random d-regular graph. Our bounds hold with probability approaching one ...
William Duckworth, Michele Zito
RSA
2011
102views more  RSA 2011»
14 years 6 months ago
Dependent random choice
: We describe a simple and yet surprisingly powerful probabilistic technique which shows how to find in a dense graph a large subset of vertices in which all (or almost all) small...
Jacob Fox, Benny Sudakov
FOCS
2003
IEEE
15 years 5 months ago
On Certain Connectivity Properties of the Internet Topology
We show that random graphs in the preferential connectivity model have constant conductance, and hence have worst-case routing congestion that scales logarithmically with the numb...
Milena Mihail, Christos H. Papadimitriou, Amin Sab...