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ICALP
2001
Springer
15 years 3 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
RSA
2008
89views more  RSA 2008»
14 years 10 months ago
Simple permutations mix even better
We study the random composition of a small family of O(n3 ) simple permutations on {0, 1}n . Specifically we ask how many randomly selected simple permutations need be composed to...
Alex Brodsky, Shlomo Hoory
COMBINATORICS
2000
112views more  COMBINATORICS 2000»
14 years 10 months ago
A Note on Random Minimum Length Spanning Trees
Consider a connected r-regular n-vertex graph G with random independent edge lengths, each uniformly distributed on [0, 1]. Let mst(G) be the expected length of a minimum spanning...
Alan M. Frieze, Miklós Ruszinkó, Lub...
CPC
2002
95views more  CPC 2002»
14 years 10 months ago
Permutation Pseudographs And Contiguity
The space of permutation pseudographs is a probabilistic model of 2-regular pseudographs on n vertices, where a pseudograph is produced by choosing a permutation of {1, 2, . . . ...
Catherine S. Greenhill, Svante Janson, Jeong Han K...
84
Voted
RSA
2008
94views more  RSA 2008»
14 years 10 months ago
Random mappings with exchangeable in-degrees
In this paper we introduce a new random mapping model, T ^D n , which maps the set {1, 2, ..., n} into itself. The random mapping T ^D n is constructed using a collection of excha...
Jennie C. Hansen, Jerzy Jaworski