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» Lower bounds for Buchsbaum* complexes
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CIE
2010
Springer
15 years 4 months ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov
CORR
2008
Springer
114views Education» more  CORR 2008»
14 years 12 months ago
Multiparty Communication Complexity of Disjointness
We obtain a lower bound of n 1 k+1 22k (k-1)2k-1 on the k-party randomized communication complexity of the Disjointness function in the `Number on the Forehead' model of mul...
Arkadev Chattopadhyay, Anil Ada
FOCS
2003
IEEE
15 years 5 months ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis
ICALP
1999
Springer
15 years 4 months ago
Average-Case Complexity of Shellsort
We demonstrate an ⍀( pn1ϩ1/p) lower bound on the average-case running time (uniform distribution) of p-pass Shellsort. This is the first nontrivial general lower bound for avera...
Tao Jiang, Ming Li, Paul M. B. Vitányi
CORR
2010
Springer
147views Education» more  CORR 2010»
14 years 10 months ago
Strong direct product theorems for quantum communication and query complexity
A strong direct product theorem (SDPT) states that solving n instances of a problem requires ˝.n/ times the resources for a single instance, even to achieve success probability 2 ...
Alexander A. Sherstov