New Connectivity and MSF Algorithms for Shuffle-Exchange Network and PRAM
IEEE Transactions on Computers
SIAM Journal on Computing
An introduction to parallel algorithms
An introduction to parallel algorithms
Parallel Computations on Reconfigurable Meshes
IEEE Transactions on Computers
IEEE Transactions on Parallel and Distributed Systems
Linear array with a reconfigurable pipelined bus system—concepts and applications
Information Sciences: an International Journal - special issue on parallel and distributed processing
Solving graph theory problems using reconfigurable pipelined optical buses
Parallel Computing
Fast Sorting Algorithms on a Linear Array with a Reconfigurable Pipelined Bus System
IEEE Transactions on Parallel and Distributed Systems
Multiple Addition and Prefix Sum on a Linear Array with a Reconfigurable Pipelined Bus System
The Journal of Supercomputing
Repetitions detection on a linear array with reconfigurable pipelined bus system
International Journal of Parallel, Emergent and Distributed Systems
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We present efficient algorithms for solving several fundamental graph-theoretic problems on a Linear Array with a Reconfigurable Pipelined Bus System (LARPBS), one of the recently proposed models of computation based on optical buses. Our algorithms include finding connected components, minimum spanning forest, biconnected components, bridges and articulation points for an undirected graph. We compute the connected components and minimum spanning forest of a graph in O(log n) time using O(m+n) processors where m and n are the number of edges and vertices in the graph and m=O(n2) for a dense graph. Both the processor and time complexities of these two algorithms match the complexities of algorithms on the Arbitrary and Priority CRCW PRAM models which are two of the strongest PRAM models. The algorithms for these two problems published by Li et al. [7] have been considered to be the most efficient on the LARPBS model till now. Their algorithm [7] for these two problems require O(log n) time and O(n3/log n) processors. Hence, our algorithms have the same time complexity but require less processors. Our algorithms for computing biconnected components, bridges and articulation points of a graph run in O(log n) time on an LARPBS with O(n2) processors. No previous algorithm was known for these latter problems on the LARPBS.