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120
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AML
1999
135views more  AML 1999»
15 years 13 days ago
Random graphs in the monadic theory of order
We continue the works of Gurevich-Shelah and Lifsches-Shelah by showing that it is consistent with ZFC that the first-order theory of random graphs is not interpretable in the mon...
Shmuel Lifsches, Saharon Shelah
94
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STOC
2007
ACM
110views Algorithms» more  STOC 2007»
16 years 1 months 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
95
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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 7 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