The critical complexity of all (monotone) Boolean functions and monotone graph properties

I Wegner - Information and control, 1985 - Elsevier
CREW-PRAM's are a powerful model of parallel computers. Lower bounds for this model are
rather general. Cook, Dwork, and Reischuk upper and lower time bounds for parallel …

A constant-time optimal parallel string-matching algorithm

Z Galil - Journal of the ACM (JACM), 1995 - dl.acm.org
A constant-time optimal parallel string-matching algorithm Page 1 A Constant-Time Optimal
Parallel String-Matching Algorithm ZVI GALIL Cokwnbm Urukersip, New York, New York …

[PDF][PDF] Limits on the power of concurrent-write parallel machines

P Beame - Proceedings of the eighteenth annual ACM symposium …, 1986 - dl.acm.org
We prove lower bounds for the computation of simple functions on generalized versions of
parallel random access machines which allow both concurrent reads and concurrent writes …

Incomparability in parallel computation

V Grolmusz, P Ragde - Discrete Applied Mathematics, 1990 - Elsevier
We consider the relative power of concurrent-write PRAMs when the number of processors
(and input variables) is fixed at n, and infinite shared memory is allowed. Several different …

Optimal separations between concurrent-write parallel machines

RB Boppana - Proceedings of the twenty-first annual ACM symposium …, 1989 - dl.acm.org
We obtain tight bounds on the relative powers of the Priority and Common models of parallel
random-access machines (PRAMs). Specifically we prove that: The Element Distinctness …

Parallel integer sorting is more efficient than parallel comparison sorting on exclusive write PRAMs

Y Han, X Shen - SIAM Journal on Computing, 2002 - SIAM
We present a significant improvement for parallel integer sorting. On the EREW (exclusive
read exclusive write) PRAM our algorithm sorts n integers in the range 0, 1,..., m-1 in time O …

Smooth boolean functions are easy: Efficient algorithms for low-sensitivity functions

P Gopalan, N Nisan, RA Servedio, K Talwar… - Proceedings of the …, 2016 - dl.acm.org
A natural measure of smoothness of a Boolean function is its sensitivity (the largest number
of Hamming neighbors of a point which differ from it in function value). The structure of …

An optimal EREW PRAM algorithm for minimum spanning tree verification

V King, CK Poon, V Ramachandran, S Sinha - Information Processing …, 1997 - Elsevier
We present a deterministic parallel algorithm on the EREW PRAM model to verify a
minimum spanning tree of a graph. The algorithm runs on a graph with n vertices and m …

Disjunctive systems and L-domains

GQ Zhang - International Colloquium on Automata, Languages …, 1992 - Springer
Disjunctive systems are a representation of L-domains. They use sequents of the form X⊢ Y,
with X finite and Y pairwise disjoint. We show that for any disjunctive system, its elements …

On the power of segmenting and fusing buses

JL Trahan, R Vaidyanathan, RK Thiruchelvan - Journal of Parallel and …, 1996 - Elsevier
Reconfigurable bus-based models of parallel computation have been shown to be
extremely powerful, capable of solving several problems in constant time that require …