Distributed Graph Coloring
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Distributed Graph Coloring
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Author : Leonid Barenboim
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2013-07-01
Distributed Graph Coloring written by Leonid Barenboim and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-01 with Computers categories.
The objective of our monograph is to cover the developments on the theoretical foundations of distributed symmetry breaking in the message-passing model. We hope that our monograph will stimulate further progress in this exciting area.
Distributed Graph Coloring
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Author : Leonid Barenboim
language : en
Publisher: Springer Nature
Release Date : 2022-06-01
Distributed Graph Coloring written by Leonid Barenboim and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Computers categories.
The focus of this monograph is on symmetry breaking problems in the message-passing model of distributed computing. In this model a communication network is represented by a n-vertex graph G = (V,E), whose vertices host autonomous processors. The processors communicate over the edges of G in discrete rounds. The goal is to devise algorithms that use as few rounds as possible. A typical symmetry-breaking problem is the problem of graph coloring. Denote by ? the maximum degree of G. While coloring G with ? + 1 colors is trivial in the centralized setting, the problem becomes much more challenging in the distributed one. One can also compromise on the number of colors, if this allows for more efficient algorithms. Other typical symmetry-breaking problems are the problems of computing a maximal independent set (MIS) and a maximal matching (MM). The study of these problems dates back to the very early days of distributed computing. The founding fathers of distributed computing laid firm foundations for the area of distributed symmetry breaking already in the eighties. In particular, they showed that all these problems can be solved in randomized logarithmic time. Also, Linial showed that an O(?2)-coloring can be solved very efficiently deterministically. However, fundamental questions were left open for decades. In particular, it is not known if the MIS or the (? + 1)-coloring can be solved in deterministic polylogarithmic time. Moreover, until recently it was not known if in deterministic polylogarithmic time one can color a graph with significantly fewer than ?2 colors. Additionally, it was open (and still open to some extent) if one can have sublogarithmic randomized algorithms for the symmetry breaking problems. Recently, significant progress was achieved in the study of these questions. More efficient deterministic and randomized (? + 1)-coloring algorithms were achieved. Deterministic ?1 + o(1)-coloring algorithms with polylogarithmic running time were devised. Improved (and often sublogarithmic-time) randomized algorithms were devised. Drastically improved lower bounds were given. Wide families of graphs in which these problems are solvable much faster than on general graphs were identified. The objective of our monograph is to cover most of these developments, and as a result to provide a treatise on theoretical foundations of distributed symmetry breaking in the message-passing model. We hope that our monograph will stimulate further progress in this exciting area.
Distributed Graph Coloring
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Author : Ariel Sapir
language : en
Publisher:
Release Date : 2018
Distributed Graph Coloring written by Ariel Sapir and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
A Guide To Graph Colouring
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Author : R.M.R. Lewis
language : en
Publisher: Springer
Release Date : 2015-10-26
A Guide To Graph Colouring written by R.M.R. Lewis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-26 with Computers categories.
This book treats graph colouring as an algorithmic problem, with a strong emphasis on practical applications. The author describes and analyses some of the best-known algorithms for colouring arbitrary graphs, focusing on whether these heuristics can provide optimal solutions in some cases; how they perform on graphs where the chromatic number is unknown; and whether they can produce better solutions than other algorithms for certain types of graphs, and why. The introductory chapters explain graph colouring, and bounds and constructive algorithms. The author then shows how advanced, modern techniques can be applied to classic real-world operational research problems such as seating plans, sports scheduling, and university timetabling. He includes many examples, suggestions for further reading, and historical notes, and the book is supplemented by a website with an online suite of downloadable code. The book will be of value to researchers, graduate students, and practitioners in the areas of operations research, theoretical computer science, optimization, and computational intelligence. The reader should have elementary knowledge of sets, matrices, and enumerative combinatorics.
Distributed Graph Analytics
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Author : Unnikrishnan Cheramangalath
language : en
Publisher: Springer Nature
Release Date : 2020-04-17
Distributed Graph Analytics written by Unnikrishnan Cheramangalath and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-17 with Computers categories.
This book brings together two important trends: graph algorithms and high-performance computing. Efficient and scalable execution of graph processing applications in data or network analysis requires innovations at multiple levels: algorithms, associated data structures, their implementation and tuning to a particular hardware. Further, programming languages and the associated compilers play a crucial role when it comes to automating efficient code generation for various architectures. This book discusses the essentials of all these aspects. The book is divided into three parts: programming, languages, and their compilation. The first part examines the manual parallelization of graph algorithms, revealing various parallelization patterns encountered, especially when dealing with graphs. The second part uses these patterns to provide language constructs that allow a graph algorithm to be specified. Programmers can work with these language constructs without worrying about their implementation, which is the focus of the third part. Implementation is handled by a compiler, which can specialize code generation for a backend device. The book also includes suggestive results on different platforms, which illustrate and justify the theory and practice covered. Together, the three parts provide the essential ingredients for creating a high-performance graph application. The book ends with a section on future directions, which offers several pointers to promising topics for future research. This book is intended for new researchers as well as graduate and advanced undergraduate students. Most of the chapters can be read independently by those familiar with the basics of parallel programming and graph algorithms. However, to make the material more accessible, the book includes a brief background on elementary graph algorithms, parallel computing and GPUs. Moreover it presents a case study using Falcon, a domain-specific language for graph algorithms, to illustrate the concepts.
Structural Information And Communication Complexity
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Author : Christian Scheideler
language : en
Publisher: Springer
Release Date : 2015-10-19
Structural Information And Communication Complexity written by Christian Scheideler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-19 with Computers categories.
This book constitutes the thoroughly refereed post-conference proceedings of the 22nd International Colloquium on Structural Information and Communication Complexity, SIROCCO 2015, held in Montserrat, Spain, in July 2015. The 30 full papers presented together with 2 invited papers were carefully reviewed and selected from 78 submissions. The papers focus on the study of the interplay between communication and knowledge in multi-processor systems from both the qualitative and quantitative viewpoints.
Structural Information And Communication Complexity
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Author : Adrian Kosowski
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-24
Structural Information And Communication Complexity written by Adrian Kosowski 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 2011-06-24 with Computers categories.
This book constitutes the refereed proceedings of the 18th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2011, held in Gdańsk, Poland, in June 2011. The 24 revised full papers presented together with 1 survey lecture and 2 invited talks were carefully reviewed and selected from 57 submissions. The papers are organized in topical section on fault tolerance, routing, mobile agents, mobile robots, probabilistic methods, distributed algorithms on graphs, and ad-hoc networks.
Distributed Graph Coloring Algorithms In Linear Systems
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Author : Anand Nagarajan
language : en
Publisher:
Release Date : 2001
Distributed Graph Coloring Algorithms In Linear Systems written by Anand Nagarajan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Electronic data processing categories.
Structural Information And Communication Complexity
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Author : Andrea Werneck Richa
language : en
Publisher: Springer Nature
Release Date : 2020-07-29
Structural Information And Communication Complexity written by Andrea Werneck Richa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-29 with Computers categories.
This book constitutes the refereed conference proceedings of the 27th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2020, held in Paderborn, Germany, in June 2020.* The 19 full papers and 2 invited papers presented in this book were carefully reviewed and selected from 41 submissions. They are divided into seven sections, i.e. invited papers; mobile robots; dynamic graphs; network communication; multi-agent systems; communication complexity; and game theory. * The conference was held virtually due to the COVID-19 pandemic.
Networks In Distributed Computing
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Author : Marios Mavronicolas
language : en
Publisher: American Mathematical Soc.
Release Date :
Networks In Distributed Computing written by Marios Mavronicolas and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Computers categories.