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JCT
2010
111views more  JCT 2010»
14 years 10 months ago
Anti-Ramsey properties of random graphs
We call a coloring of the edge set of a graph G a b-bounded coloring if no color is used more than b times. We say that a subset of the edges of G is rainbow if each edge is of a ...
Tom Bohman, Alan M. Frieze, Oleg Pikhurko, Cliffor...
72
Voted
TCC
2005
Springer
101views Cryptology» more  TCC 2005»
15 years 5 months ago
Efficiently Constructible Huge Graphs That Preserve First Order Properties of Random Graphs
Moni Naor, Asaf Nussboim, Eran Tromer
ICALP
2001
Springer
15 years 4 months ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot
106
Voted
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...
STOC
2004
ACM
94views Algorithms» more  STOC 2004»
16 years 19 days ago
Sharp thresholds For monotone properties in random geometric graphs
Ashish Goel, Sanatan Rai, Bhaskar Krishnamachari