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JCT
2010
111views more  JCT 2010»
14 years 8 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...
80
Voted
ICALP
2001
Springer
15 years 1 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
FOCS
2003
IEEE
15 years 2 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»
15 years 9 months ago
Sharp thresholds For monotone properties in random geometric graphs
Ashish Goel, Sanatan Rai, Bhaskar Krishnamachari