Dynamic load balancing with a spectral bisection algorithm for the constrained graph partitioning problem

1995 ◽  
pp. 392-397 ◽  
Author(s):  
Rafael Van Driessche ◽  
Dirk Roose
Keyword(s):  
Load Balancing ◽  
Dynamic Load ◽  
Graph Partitioning ◽  
Dynamic Load Balancing ◽  
Bisection Algorithm ◽  
Graph Partitioning Problem ◽  
Partitioning Problem

A GRAPH BASED DAVIDSON ALGORITHM FOR THE GRAPH PARTITIONING PROBLEM

1999 ◽  
Vol 10 (02) ◽  
pp. 225-246 ◽  
Author(s):  
MICHAEL HOLZRICHTER ◽  
SUELY OLIVEIRA
Keyword(s):  
Graph Theory ◽  
Load Balancing ◽  
Graph Partitioning ◽  
Graph Laplacian ◽  
Matrix Factorizations ◽  
Graph Partitioning Problem ◽  
Spectral Graph ◽  
Partitioning Problem ◽  
Davidson Algorithm ◽  
Spectral Graph Partitioning

The problem of partitioning a graph such that the number of edges incident to vertices in different partitions is minimized, arises in many contexts. Some examples include its recursive application for minimizing fill-in in matrix factorizations and load-balancing for parallel algorithms. Spectral graph partitioning algorithms partition a graph using the eigenvector associated with the second smallest eigenvalue of a matrix called the graph Laplacian. The focus of this paper is the use graph theory to compute this eigenvector more quickly.

scholarly journals K-way Balanced Graph Partitioning for Parallel Computing

2021 ◽  
Vol 22 (4) ◽  
pp. 413-424
Author(s):  
Siddheshwar Vilas Patil ◽  
Dinesh B. Kulkarni
Keyword(s):  
Parallel Computing ◽  
Load Balancing ◽  
Graph Partitioning ◽  
High Performance ◽  
Ground Truth ◽  
Complex Problem ◽  
Maximum Throughput ◽  
Graph Partitioning Problem ◽  
Use Of Resources ◽  
Partitioning Problem

In modern computing, high-performance computing (HPC) and parallel computing require most of the decision-making in terms of distributing the payloads (input) uniformly across the available set of resources, majorly processors; the former deals with the hardware and its better utilization. In parallel computing, a larger, complex problem is broken down into multiple smaller calculations and executed simultaneously on several processors. The efficient use of resources (processors) plays a vital role in achieving the maximum throughput which necessitates uniform load distribution across available processors, i.e. load balancing. The load balancing in parallel computing is modeled as a graph partitioning problem. In the graph partitioning problem, the weighted nodes represent the computing cost at each node, and the weighted edges represent the communication cost between the connected nodes. The goal is to partition the graph G into k partitions such that: I) the sum of weights on the nodes is approximately equal for each partition, and, II) the sum of weights on the edges across different partitions is minimum.  In this paper, a novel node-weighted and edge-weighted k-way balanced graph partitioning (NWEWBGP) algorithm of  O(n x n)  is proposed. The algorithm works for all relevant values of k, meets or improves on earlier algorithms in terms of balanced partitioning and lowest edge-cut. For evaluation and validation, the outcome is compared with the ground truth benchmarks.

scholarly journals Applying graph partitioning methods in measurement-based dynamic load balancing

2011 ◽  
Author(s):  
Abhinav Bhatele ◽  
Sebastien Fourestier ◽  
Harshitha Menon ◽  
Laxmikant V. Kale ◽  
Francois Pellegrini
Keyword(s):  
Load Balancing ◽  
Dynamic Load ◽  
Graph Partitioning ◽  
Dynamic Load Balancing ◽  
Partitioning Methods

scholarly journals Applying graph partitioning methods in measurement-based dynamic load balancing

2012 ◽  
Author(s):  
A Bhatele ◽  
S Fourestier ◽  
H Menon ◽  
L Kale ◽  
F Pellegrini
Keyword(s):  
Load Balancing ◽  
Dynamic Load ◽  
Graph Partitioning ◽  
Dynamic Load Balancing ◽  
Partitioning Methods

Dynamic Load-balancing and Control for Server-Side Rendering on Ajax-GIS

2013 ◽  
Vol 133 (4) ◽  
pp. 891-898
Author(s):  
Takeo Sakairi ◽  
Masashi Watanabe ◽  
Katsuyuki Kamei ◽  
Takashi Tamada ◽  
Yukio Goto ◽  
...  
Keyword(s):  
Load Balancing ◽  
Dynamic Load ◽  
Dynamic Load Balancing ◽  
Server Side ◽  
And Control
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