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» The Monotone Complexity of k-clique on Random Graphs
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FOCS
2010
IEEE
13 years 2 months ago
The Monotone Complexity of k-clique on Random Graphs
It is widely suspected that Erdos-R
Benjamin Rossman
ICALP
2001
Springer
13 years 9 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
12 years 11 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