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ICALP
2001
Springer
14 years 15 hour 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
LICS
2009
IEEE
14 years 2 months ago
An Improved Lower Bound for the Complementation of Rabin Automata
Automata on infinite words (ω-automata) have wide applications in formal language theory as well as in modeling and verifying reactive systems. Complementation of ωautomata is ...
Yang Cai, Ting Zhang, Haifeng Luo
CORR
2004
Springer
76views Education» more  CORR 2004»
13 years 7 months ago
Improved Upper Bound for the Redundancy of Fix-Free Codes
A variable-length code is a fix-free code if no codeword is a prefix or a suffix of any other codeword. In a fix-free code any finite sequence of codewords can be decoded in both d...
Sergey Yekhanin
AAAI
2006
13 years 9 months ago
Improved Bounds for Computing Kemeny Rankings
Voting (or rank aggregation) is a general method for aggregating the preferences of multiple agents. One voting rule of particular interest is the Kemeny rule, which minimizes the...
Vincent Conitzer, Andrew J. Davenport, Jayant Kala...
JCO
1998
80views more  JCO 1998»
13 years 7 months ago
Improved Bounds on Relaxations of a Parallel Machine Scheduling Problem
We consider the problem of scheduling n jobs with release dates on m identical parallel machines to minimize the average completion time of the jobs. We prove that the ratio of the...
Cynthia A. Phillips, Andreas S. Schulz, David B. S...