Topics in Chromatic Graph Theory

Author: Lowell W. Beineke,Robin J. Wilson

Publisher: Cambridge University Press

ISBN: 1316239853

Category: Mathematics

Page: N.A

View: 531

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Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring algorithms form an important feature. While other books cover portions of the material, no other title has such a wide scope as this one, in which acknowledged international experts in the field provide a broad survey of the subject. All fifteen chapters have been carefully edited, with uniform notation and terminology applied throughout. Bjarne Toft (Odense, Denmark), widely recognized for his substantial contributions to the area, acted as academic consultant. The book serves as a valuable reference for researchers and graduate students in graph theory and combinatorics and as a useful introduction to the topic for mathematicians in related fields.
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Sailing Routes in the World of Computation

14th Conference on Computability in Europe, CiE 2018, Kiel, Germany, July 30 – August 3, 2018, Proceedings

Author: Florin Manea,Russell G. Miller,Dirk Nowotka

Publisher: Springer

ISBN: 3319944185

Category: Computers

Page: 434

View: 1734

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This book constitutes the refereed proceedings of the 14th Conference on Computability in Europe, CiE 2018, held in Kiel, Germany, in July/ August 2017. The 26 revised full papers were carefully reviewed and selected from 55 submissions. In addition, this volume includes 15 invited papers. The conference CiE 2018 has six special sessions, namely: Approximation and optimization, Bioinformatics and bio-inspired computing, computing with imperfect information, continuous computation, history and philosophy of computing (celebrating the 80th birthday of Martin Davis), and SAT-solving.
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A Guide to Graph Colouring

Algorithms and Applications

Author: R.M.R. Lewis

Publisher: Springer

ISBN: 3319257307

Category: Computers

Page: 253

View: 6903

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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.
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Graph Theory

Author: W. T. Tutte,William Thomas Tutte

Publisher: Cambridge University Press

ISBN: 9780521794893

Category: Mathematics

Page: 333

View: 2741

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A classic reference for students and researchers in graph theory and its applications.
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Equivalents of the Riemann Hypothesis

Author: Kevin Broughan

Publisher: Cambridge University Press

ISBN: 110719704X

Category: Mathematics

Page: 336

View: 8580

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The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.
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Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents

Author: Kevin Broughan

Publisher: Cambridge University Press

ISBN: 1108187021

Category: Mathematics

Page: N.A

View: 4717

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The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.
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Non-Associative Normed Algebras : Volume 2, Representation Theory and the Zel'manov Approach

Author: Miguel Cabrera García,Ángel Rodríguez Palacios

Publisher: Cambridge University Press

ISBN: 1108631436

Category: Mathematics

Page: 760

View: 4683

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This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This second volume revisits JB*-triples, covers Zel'manov's celebrated work in Jordan theory, proves the unit-free variant of the Vidav–Palmer theorem, and develops the representation theory of alternative C*-algebras and non-commutative JB*-algebras. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography.
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Physical Review

Statistical physics, plasmas, fluids, and related interdisciplinary topics

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Statistical physics

Page: N.A

View: 3423

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