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Vertex Separators for Partitioning a Graph

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ABSTRACT

Finite Element Method (FEM) is a well known technique extensively studied for spatial and temporal modeling of environmental processes, weather prediction computations, and intelligent signal processing for wireless sensors. The need for huge computational power arising in such applications to simulate physical phenomenon correctly mandates the use of massively parallel computers to distribute the workload evenly. In this study, a novel heuristic algorithm called Line Graph Bisection which partitions a graph via vertex separators so as to balance the workload amongst the processors and to minimize the communication overhead is proposed. The proposed algorithm is proved to be computationally feasible and makes cost-effective parallel implementations possible to speed up the solution process.

No MeSH data available.


LGB Algorithm.
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f8-sensors-08-00635: LGB Algorithm.

Mentions: The LGB algorithm used in step (2) of Procedure 4.1 to find small vertex separators for partitioning a graph is listed in Figure 8. Both the data structures used and the algorithm itself are described next in the execution order as explanations are provided in detail.


Vertex Separators for Partitioning a Graph
LGB Algorithm.
© Copyright Policy
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC3927507&req=5

f8-sensors-08-00635: LGB Algorithm.
Mentions: The LGB algorithm used in step (2) of Procedure 4.1 to find small vertex separators for partitioning a graph is listed in Figure 8. Both the data structures used and the algorithm itself are described next in the execution order as explanations are provided in detail.

View Article: PubMed Central - PubMed

ABSTRACT

Finite Element Method (FEM) is a well known technique extensively studied for spatial and temporal modeling of environmental processes, weather prediction computations, and intelligent signal processing for wireless sensors. The need for huge computational power arising in such applications to simulate physical phenomenon correctly mandates the use of massively parallel computers to distribute the workload evenly. In this study, a novel heuristic algorithm called Line Graph Bisection which partitions a graph via vertex separators so as to balance the workload amongst the processors and to minimize the communication overhead is proposed. The proposed algorithm is proved to be computationally feasible and makes cost-effective parallel implementations possible to speed up the solution process.

No MeSH data available.