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» The Monotone Complexity of k-clique on Random Graphs
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FOCS
2010
IEEE
13 years 7 months ago
The Monotone Complexity of k-clique on Random Graphs
It is widely suspected that Erdos-R
Benjamin Rossman
ICALP
2001
Springer
14 years 2 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
DCG
2011
13 years 4 months ago
Random Geometric Complexes
We study the expected topological properties of ˇCech and Vietoris-Rips complexes built on random points in Rd . We find higher dimensional analogues of known results for connect...
Matthew Kahle