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» Robust Lower Bounds for Communication and Stream Computation
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SODA
2004
ACM
87views Algorithms» more  SODA 2004»
15 years 7 months ago
Optimal space lower bounds for all frequency moments
We prove that any one-pass streaming algorithm which ( , )-approximates the kth frequency moment Fk, for any real k = 1 and any = 1 m , must use 1 2 bits of space, where m is th...
David P. Woodruff
FOCS
1991
IEEE
15 years 9 months ago
Communication Complexity Towards Lower Bounds on Circuit Depth
Karchmer, Raz, and Wigderson, 1991, discuss the circuit depth complexity of n bit Boolean functions constructed by composing up to d = logn=loglogn levels of k = logn bit boolean
Jeff Edmonds, Steven Rudich, Russell Impagliazzo, ...
SODA
2008
ACM
100views Algorithms» more  SODA 2008»
15 years 7 months ago
A tight lower bound for parity in noisy communication networks
We show a tight lower bound of (N log log N) on the number of transmission required to compute the parity of N bits (with constant error) in a network of N randomly placed sensors...
Chinmoy Dutta, Yashodhan Kanoria, D. Manjunath, Ja...
IPPS
1998
IEEE
15 years 10 months ago
Lower Bounds on Communication Loads and Optimal Placements in Torus Networks
Fully-populated tori, where every node has a processor attached, do not scale well since load on edges increases superlinearly with network size under heavy communication, resulti...
M. Cemil Azizoglu, Ömer Egecioglu
PODC
2011
ACM
14 years 8 months ago
The complexity of robust atomic storage
We study the time-complexity of robust atomic read/write storage from fault-prone storage components in asynchronous message-passing systems. Robustness here means wait-free tolera...
Dan Dobre, Rachid Guerraoui, Matthias Majuntke, Ne...