A Guide To Graph Colouring

Author : R.M.R. Lewis
Publisher : Springer
Page : 253 pages
File Size : 40,5 Mb
Release : 2015-10-26
Category : Computers
ISBN : 9783319257303

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A Guide to Graph Colouring by R.M.R. Lewis Pdf

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.

Author : R. M. R. Lewis
Publisher : Springer Nature
Page : 315 pages
File Size : 50,5 Mb
Release : 2021-10-07
Category : Computers
ISBN : 9783030810542

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Guide to Graph Colouring by R. M. R. Lewis Pdf

This textbook 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 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, complexity theory, bounds and constructive algorithms. The author then shows how advanced, graph colouring techniques can be applied to classic real-world operational research problems such as designing seating plans, sports scheduling, and university timetabling. He includes many examples, suggestions for further reading, and historical notes, and the book is supplemented by an online suite of downloadable code. The book is 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.

Author : Suresh Chandra Satapathy,Siba K Udgata,Bhabendra Narayan Biswal
Publisher : Springer Science & Business Media
Page : 553 pages
File Size : 51,7 Mb
Release : 2013-10-05
Category : Technology & Engineering
ISBN : 9783319029313

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Proceedings of the International Conference on Frontiers of Intelligent Computing: Theory and Applications (FICTA) 2013 by Suresh Chandra Satapathy,Siba K Udgata,Bhabendra Narayan Biswal Pdf

This volume contains the papers presented at the Second International Conference on Frontiers in Intelligent Computing: Theory and Applications (FICTA-2013) held during 14-16 November 2013 organized by Bhubaneswar Engineering College (BEC), Bhubaneswar, Odisha, India. It contains 63 papers focusing on application of intelligent techniques which includes evolutionary computation techniques like genetic algorithm, particle swarm optimization techniques, teaching-learning based optimization etc for various engineering applications such as data mining, Fuzzy systems, Machine Intelligence and ANN, Web technologies and Multimedia applications and Intelligent computing and Networking etc.

Author : Leonid Barenboim,Michael Elkin
Publisher : Springer Nature
Page : 157 pages
File Size : 46,6 Mb
Release : 2022-06-01
Category : Computers
ISBN : 9783031020094

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Distributed Graph Coloring by Leonid Barenboim,Michael Elkin Pdf

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.

Author : Ivan Zelinka,Vaclav Snasael,Ajith Abraham
Publisher : Springer Science & Business Media
Page : 1100 pages
File Size : 45,6 Mb
Release : 2012-09-26
Category : Technology & Engineering
ISBN : 9783642305047

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Handbook of Optimization by Ivan Zelinka,Vaclav Snasael,Ajith Abraham Pdf

Optimization problems were and still are the focus of mathematics from antiquity to the present. Since the beginning of our civilization, the human race has had to confront numerous technological challenges, such as finding the optimal solution of various problems including control technologies, power sources construction, applications in economy, mechanical engineering and energy distribution amongst others. These examples encompass both ancient as well as modern technologies like the first electrical energy distribution network in USA etc. Some of the key principles formulated in the middle ages were done by Johannes Kepler (Problem of the wine barrels), Johan Bernoulli (brachystochrone problem), Leonhard Euler (Calculus of Variations), Lagrange (Principle multipliers), that were formulated primarily in the ancient world and are of a geometric nature. In the beginning of the modern era, works of L.V. Kantorovich and G.B. Dantzig (so-called linear programming) can be considered amongst others. This book discusses a wide spectrum of optimization methods from classical to modern, alike heuristics. Novel as well as classical techniques is also discussed in this book, including its mutual intersection. Together with many interesting chapters, a reader will also encounter various methods used for proposed optimization approaches, such as game theory and evolutionary algorithms or modelling of evolutionary algorithm dynamics like complex networks.

Author : Koh Khee Meng,Dong Fengming,Tay Eng Guan
Publisher : World Scientific Publishing Company
Page : 244 pages
File Size : 51,5 Mb
Release : 2007-03-15
Category : Mathematics
ISBN : 9789813101630

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Introduction to Graph Theory by Koh Khee Meng,Dong Fengming,Tay Eng Guan Pdf

Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.

Author : Bruce A. Reed,Claudia L. Linhares-Sales
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 53,8 Mb
Release : 2006-05-17
Category : Mathematics
ISBN : 9780387224442

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Recent Advances in Algorithms and Combinatorics by Bruce A. Reed,Claudia L. Linhares-Sales Pdf

Excellent authors, such as Lovasz, one of the five best combinatorialists in the world; Thematic linking that makes it a coherent collection; Will appeal to a variety of communities, such as mathematics, computer science and operations research

Author : Tommy R. Jensen,Bjarne Toft
Publisher : John Wiley & Sons
Page : 320 pages
File Size : 50,9 Mb
Release : 2011-10-24
Category : Mathematics
ISBN : 9781118030745

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Graph Coloring Problems by Tommy R. Jensen,Bjarne Toft Pdf

Contains a wealth of information previously scattered in research journals, conference proceedings and technical reports. Identifies more than 200 unsolved problems. Every problem is stated in a self-contained, extremely accessible format, followed by comments on its history, related results and literature. The book will stimulate research and help avoid efforts on solving already settled problems. Each chapter concludes with a comprehensive list of references which will lead readers to original sources, important contributions and other surveys.

Author : Ding-Zhu Du,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 395 pages
File Size : 55,5 Mb
Release : 2006-08-18
Category : Business & Economics
ISBN : 9780387238302

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Handbook of Combinatorial Optimization by Ding-Zhu Du,Panos M. Pardalos Pdf

This is a supplementary volume to the major three-volume Handbook of Combinatorial Optimization set. It can also be regarded as a stand-alone volume presenting chapters dealing with various aspects of the subject in a self-contained way.

Author : Thomas Schiex,Simon de Givry
Publisher : Springer Nature
Page : 788 pages
File Size : 52,8 Mb
Release : 2019-09-23
Category : Mathematics
ISBN : 9783030300487

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Principles and Practice of Constraint Programming by Thomas Schiex,Simon de Givry Pdf

This book constitutes the proceedings of the 25th International Conference on Principles and Practice of Constraint Programming, CP 2019, held in Stamford, CT, USA, France, in September/October 2019. The 44 full papers presented in this volume were carefully reviewed and selected from 118 submissions. They deal with all aspects of computing with constraints including theory, algorithms, environments, languages, models, systems, and applications such as decision making, resource allocation, scheduling, configuration, and planning. The papers were organized according to the following topics/tracks: technical track; application track; multi-agent and parallel CP track; testing and verification track; CP and data science track; computational sustainability; and CP and life sciences track.

Author : Anonim
Publisher : Unknown
Page : 261 pages
File Size : 55,7 Mb
Release : 1989
Category : Electronic
ISBN : OCLC:35458620

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Graph Colouring and Variations by Anonim Pdf

Author : Gottfried Tinhofer,Rudolf Albrecht,Ernst Mayr,Hartmut Noltemeier,Maciej M. Syslo
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783709190760

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Computational Graph Theory by Gottfried Tinhofer,Rudolf Albrecht,Ernst Mayr,Hartmut Noltemeier,Maciej M. Syslo Pdf

One ofthe most important aspects in research fields where mathematics is "applied is the construction of a formal model of a real system. As for structural relations, graphs have turned out to provide the most appropriate tool for setting up the mathematical model. This is certainly one of the reasons for the rapid expansion in graph theory during the last decades. Furthermore, in recent years it also became clear that the two disciplines of graph theory and computer science have very much in common, and that each one has been capable of assisting significantly in the development of the other. On one hand, graph theorists have found that many of their problems can be solved by the use of com puting techniques, and on the other hand, computer scientists have realized that many of their concepts, with which they have to deal, may be conveniently expressed in the lan guage of graph theory, and that standard results in graph theory are often very relevant to the solution of problems concerning them. As a consequence, a tremendous number of publications has appeared, dealing with graphtheoretical problems from a computational point of view or treating computational problems using graph theoretical concepts.

Author : Vijayalakshmi S,Gayathri SP,Samiksha Shukla,Parma Nand,Balamurugan Balusamy
Publisher : CRC Press
Page : 199 pages
File Size : 52,6 Mb
Release : 2024-07-01
Category : Computers
ISBN : 9781040044506

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Bio-Inspired Computational Paradigms by Vijayalakshmi S,Gayathri SP,Samiksha Shukla,Parma Nand,Balamurugan Balusamy Pdf

Smart cities with various technological innovations have played an important role and influenced society as well. Due to voluminous data transactions within smart cities, security and privacy concerns need to be dealt with. Though taking care of safety and privacy is challenging, it is essential for a smart city to understand the bio-inspired computing paradigms. This book discusses the utilization of bio-inspired computing procedures for effective computational devices. • Discusses real-world usage of bio-inspired computations • Highlights how bio-inspired computations hold the potential to significantly increase network security and privacy • Talks about how society can avoid consequences of cyber security breaches • Examines the combination of bio-inspired computational methods with IoT, AI and big data This book is primarily aimed at graduates, researchers, IT and industry professionals.

Author : Leslie Pérez Cáceres,Sébastien Verel
Publisher : Springer Nature
Page : 222 pages
File Size : 44,8 Mb
Release : 2022-04-03
Category : Computers
ISBN : 9783031041488

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Evolutionary Computation in Combinatorial Optimization by Leslie Pérez Cáceres,Sébastien Verel Pdf

This book constitutes the refereed proceedings of the 22nd European Conference on Evolutionary Computation in Combinatorial Optimization, EvoCOP 2022, held as part of Evo*2022, in Madrid, Spain, during April 20-21, 2022, co-located with the Evo*2022 events: EvoMUSART, EvoApplications, and EuroGP. The 13 revised full papers presented in this book were carefully reviewed and selected from 28 submissions. They present recent theoretical and experimental advances in combinatorial optimization, evolutionary algorithms, and related research fields.

Author : Janusz Kacprzyk,Witold Pedrycz
Publisher : Springer
Page : 1634 pages
File Size : 55,6 Mb
Release : 2015-05-28
Category : Technology & Engineering
ISBN : 9783662435052

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Springer Handbook of Computational Intelligence by Janusz Kacprzyk,Witold Pedrycz Pdf

The Springer Handbook for Computational Intelligence is the first book covering the basics, the state-of-the-art and important applications of the dynamic and rapidly expanding discipline of computational intelligence. This comprehensive handbook makes readers familiar with a broad spectrum of approaches to solve various problems in science and technology. Possible approaches include, for example, those being inspired by biology, living organisms and animate systems. Content is organized in seven parts: foundations; fuzzy logic; rough sets; evolutionary computation; neural networks; swarm intelligence and hybrid computational intelligence systems. Each Part is supervised by its own Part Editor(s) so that high-quality content as well as completeness are assured.