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A Guide to Graph Colouring

Algorithms and Applications

Authors: Lewis, R.M.R.

  • Supported by online suite of graph colouring algorithms, implemented in C++
  • Focuses on state-of-the-art algorithmic solutions to classic problems such as seating plans, sports leagues, and university timetables
  • Suitable for graduate courses in computer science, operations research, mathematics, and engineering
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eBook $79.99
price for USA
  • ISBN 978-3-319-25730-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-25728-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

Dr. Rhyd Lewis is a lecturer in operational research at Cardiff School of Mathematics, Cardiff University. Previously he was a lecturer in quantitative methods at Cardiff Business School. He holds a Ph.D. in Computer Science and Operational Research from Edinburgh Napier University. His research interests cover the analysis and application of metaheuristic algorithms, with particular focus on timetabling, graph colouring, and bin packing, vehicle routing, arc routing, and grouping/partitioning problems, and he has been a program committee member for the key related conferences, such as EvoCop, GECCO, MIC, and PATAT, and he is a cofounder and associate editor of the Intl. J. of Metaheuristics.

Reviews

“This well-written book will serve as a utilitarian guide to graph coloring and its practical applications. It includes many definitions, theorems, proofs, algorithms, and pointers for further reading. The book will be helpful for teaching courses on graph coloring to students of mathematics and computer science. I strongly recommend it for the intended audience.” (S. V. Nagaraj, Computing Reviews, computingreviews.com, June, 2016)

“The book is a comprehensive guide to graph colouring algorithms. … The book is a nice textbook for both undergraduate and graduate students in the areas of operations research and theoretical computer science. … Finally, it is a good source of knowledge for practitioners.” (Marcin Anholcer, zbMATH 1330.05002, 2016)


Table of contents (8 chapters)

Buy this book

eBook $79.99
price for USA
  • ISBN 978-3-319-25730-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-25728-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Guide to Graph Colouring
Book Subtitle
Algorithms and Applications
Authors
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-25730-3
DOI
10.1007/978-3-319-25730-3
Hardcover ISBN
978-3-319-25728-0
Edition Number
1
Number of Pages
XIV, 253
Topics