Optimal parallel algorithms for expression tree evaluation and list ranking

2006 ◽  
pp. 91-100 ◽  
Author(s):  
Richard Cole ◽  
Uzi Vishkin
Keyword(s):  
Parallel Algorithms ◽  
List Ranking ◽  
Expression Tree ◽  
Tree Evaluation

New BSP/CGM algorithms for spanning trees

2018 ◽  
Vol 33 (3) ◽  
pp. 444-461
Author(s):  
Jucele França de Alencar Vasconcellos ◽  
Edson Norberto Cáceres ◽  
Henrique Mongelli ◽  
Siang Wun Song ◽  
Frank Dehne ◽  
...  
Keyword(s):  
Parallel Algorithms ◽  
Parallel Machines ◽  
Spanning Trees ◽  
Graphics Processing Unit ◽  
Computation Time ◽  
General Purpose ◽  
Coarse Grained ◽  
Processing Unit ◽  
List Ranking ◽  
Bulk Synchronous Parallel

Computing a spanning tree (ST) and a minimum ST (MST) of a graph are fundamental problems in graph theory and arise as a subproblem in many applications. In this article, we propose parallel algorithms to these problems. One of the steps of previous parallel MST algorithms relies on the heavy use of parallel list ranking which, though efficient in theory, is very time-consuming in practice. Using a different approach with a graph decomposition, we devised new parallel algorithms that do not make use of the list ranking procedure. We proved that our algorithms are correct, and for a graph [Formula: see text], [Formula: see text], and [Formula: see text], the algorithms can be executed on a Bulk Synchronous Parallel/Coarse Grained Multicomputer (BSP/CGM) model using [Formula: see text] communications rounds with [Formula: see text] computation time for each round. To show that our algorithms have good performance on real parallel machines, we have implemented them on graphics processing unit. The obtained speedups are competitive and showed that the BSP/CGM model is suitable for designing general purpose parallel algorithms.

Multilevel Algebraic Approach for Performance Analysis of Parallel Algorithms

2019 ◽  
Vol 38 (4) ◽  
pp. 817-850 ◽  
Author(s):  
Luisa D'Amore ◽  
Valeria Mele ◽  
Diego Romano ◽  
Giuliano Laccetti
Keyword(s):  
Performance Analysis ◽  
Parallel Algorithms ◽  
Algebraic Approach

Class Notes: Programming Parallel Algorithms CS 15-840B (Fall 1992)

1993 ◽  
Author(s):  
Guy E. Blelloch ◽  
Jonathan C. Hardwick
Keyword(s):  
Parallel Algorithms

Parallel Algorithms

1999 ◽  
Author(s):  
Sartaj Sahni
Keyword(s):  
Parallel Algorithms
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