Multilevel Algorithms For Multi Constraint Graph Partitioning

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Multilevel Algorithms For Multi Constraint Graph Partitioning

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Author : George Karypis
language : en
Publisher:
Release Date : 1998

Multilevel Algorithms For Multi Constraint Graph Partitioning written by George Karypis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.

Parallel Multilevel Algorithms For Multi Constraint Graph Partitioning

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Author : Kirk Schloegel
language : en
Publisher:
Release Date : 2000

Parallel Multilevel Algorithms For Multi Constraint Graph Partitioning written by Kirk Schloegel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Multilevel Algorithms For Multi Constraint Hypergraph Partitioning

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Author :
language : en
Publisher:
Release Date : 1999

Multilevel Algorithms For Multi Constraint Hypergraph Partitioning written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.

Traditional hypergraph partitioning algorithms compute a bisection of a graph such that the number of hyperedges that are cut by the partitioning is minimized and each partition has an equal number of vertices. The task of minimizing the cut can be considered as the objective, and the requirement that the partitions will be of the same size can be considered as the constraint. In this paper, the author extends the partitioning problem by incorporating an arbitrary number of balancing constraints. In this formulation, a vector of weights is assigned to each vertex, and the goal is to produce a bisection such that the partitioning satisfies a balancing constraint associated with each weight, while attempting to minimize the cut. The author presents new multi-constraint hypergraph partitioning algorithms that are based on the multilevel partitioning paradigm. He experimentally evaluates the effectiveness of the multi-constraint partitioners on a variety of synthetically generated problems.

Graph Partitioning

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Author : Charles-Edmond Bichot
language : en
Publisher: John Wiley & Sons
Release Date : 2013-01-24

Graph Partitioning written by Charles-Edmond Bichot and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-24 with Computers categories.

Graph partitioning is a theoretical subject with applications in many areas, principally: numerical analysis, programs mapping onto parallel architectures, image segmentation, VLSI design. During the last 40 years, the literature has strongly increased and big improvements have been made. This book brings together the knowledge accumulated during many years to extract both theoretical foundations of graph partitioning and its main applications.

Euro Par 2000 Parallel Processing

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Author : Arndt Bode
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-08-23

Euro Par 2000 Parallel Processing written by Arndt Bode and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-23 with Computers categories.

Euro-Par – the European Conference on Parallel Computing – is an international conference series dedicated to the promotion and advancement of all aspects of parallel computing. The major themes can be divided into the broad categories of hardware, software, algorithms, and applications for parallel computing. The objective of Euro-Par is to provide a forum within which to promote the dev- opment of parallel computing both as an industrial technique and an academic discipline, extending the frontier of both the state of the art and the state of the practice. This is particularlyimportant at a time when parallel computing is - dergoing strong and sustained development and experiencing real industrial take up. The main audience for and participants of Euro-Par are seen as researchers in academic departments, government laboratories, and industrial organisations. Euro-Par’s objective is to become the primarychoice of such professionals for the presentation of new results in their speci?c areas. Euro-Par is also interested in applications that demonstrate the e?ectiveness of the main Euro-Par themes. Euro-Par now has its own Internet domain with a permanent Web site where the historyof the conference series is described: http://www. euro-par. org. The Euro-Par conference series is sponsored bythe Association of Computer Machineryand the International Federation of Information Processing.

Multi Level Spectral K Way Graph Partitioning

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Author : Jason Y. Zien
language : en
Publisher:
Release Date : 1997

Multi Level Spectral K Way Graph Partitioning written by Jason Y. Zien and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Graph theory categories.

Tree Based Graph Partitioning Constraint

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Author : Xavier Lorca
language : en
Publisher: John Wiley & Sons
Release Date : 2013-01-24

Tree Based Graph Partitioning Constraint written by Xavier Lorca and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-24 with Mathematics categories.

Combinatorial problems based on graph partitioning enable us to mathematically represent and model many practical applications. Mission planning and the routing problems occurring in logistics perfectly illustrate two such examples. Nevertheless, these problems are not based on the same partitioning pattern: generally, patterns like cycles, paths, or trees are distinguished. Moreover, the practical applications are often not limited to theoretical problems like the Hamiltonian path problem, or K-node disjoint path problems. Indeed, they usually combine the graph partitioning problem with several restrictions related to the topology of nodes and arcs. The diversity of implied constraints in real-life applications is a practical limit to the resolution of such problems by approaches considering the partitioning problem independently from each additional restriction. This book focuses on constraint satisfaction problems related to tree partitioning problems enriched by several additional constraints that restrict the possible partitions topology. On the one hand, this title focuses on the structural properties of tree partitioning constraints. On the other hand, it is dedicated to the interactions between the tree partitioning problem and classical restrictions (such as precedence relations or incomparability relations between nodes) involved in practical applications. Precisely, Tree-based Graph Partitioning Constraint shows how to globally take into account several restrictions within one single tree partitioning constraint. Another interesting aspect of this book is related to the implementation of such a constraint. In the context of graph-based global constraints, the book illustrates how a fully dynamic management of data structures makes the runtime of filtering algorithms independent of the graph density.

Scalable Partitioning Driven Algorithms For Solving Complex And Emerging Problems In Vlsi Physical Design Automation

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Author : Navaratnasothie Selvakkumaran
language : en
Publisher:
Release Date : 2005

Scalable Partitioning Driven Algorithms For Solving Complex And Emerging Problems In Vlsi Physical Design Automation written by Navaratnasothie Selvakkumaran and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.

Multilevel Algorithms For Partitioning Power Law Graphs

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Author :
language : en
Publisher:
Release Date : 2005

Multilevel Algorithms For Partitioning Power Law Graphs written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.

Graph partitioning is an enabling technology for parallel processing as it allows for the effective decomposition of unstructured computations whose data dependencies correspond to a large sparse and irregular graph. Even though the problem of computing high-quality partitionings of graphs arising in scientific computations is to a large extent well understood, this is far from being true for emerging HPC applications whose underlying computation involves graphs whose degree distribution follows a power-law curve. This paper presents new multilevel graph partitioning algorithms that are specifically designed for partitioning such graphs. It presents new clustering-based coarsening schemes that identify and collapse together groups of vertices that are highly connected. An experimental evaluation of these schemes on 10 different graphs show that the proposed algorithms consistently and significantly.

Multi Level Graph Partitioning

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Author : Pawan Kumar Aurora
language : en
Publisher:
Release Date : 2007

Multi Level Graph Partitioning written by Pawan Kumar Aurora and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.

ABSTRACT: Graph partitioning is an important problem that has extensive applications in many areas, including scientifc computing, VLSI design, and task scheduling. The multi-level graph partitioning algorithm reduces the size of the graph gradually by collapsing vertices and edges over various levels, partitions the smallest graph and then uncoarsens it to construct a partition for the original graph. Also, at each step of uncoarsening the partition is refined as the degree of freedom increases. In this thesis we have implemented the multi-level graph partitioning algorithm and used the Fiduccia Mattheyses algorithm for refining the partition at each level of uncoarsening. Along with the few published heuristics we have tried one of our own for handling dense nodes during the coarsening phase. We present our results and compare them to those of the Metis software that is the current state of the art package for graph partitioning.