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Guide to graph colouringalgorithms a...
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Lewis, R. M. R.
Guide to graph colouringalgorithms and applications /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Guide to graph colouringby R. M. R. Lewis.
其他題名:
algorithms and applications /
作者:
Lewis, R. M. R.
出版者:
Cham :Springer International Publishing :2021.
面頁冊數:
xiv, 304 p. :ill. (some col.), digital ;24 cm.
Contained By:
Springer Nature eBook
標題:
Graph coloring.
電子資源:
https://doi.org/10.1007/978-3-030-81054-2
ISBN:
9783030810542$q(electronic bk.)
Guide to graph colouringalgorithms and applications /
Lewis, R. M. R.
Guide to graph colouring
algorithms and applications /[electronic resource] :by R. M. R. Lewis. - Second edition. - Cham :Springer International Publishing :2021. - xiv, 304 p. :ill. (some col.), digital ;24 cm. - Texts in computer science,1868-095X. - Texts in computer science..
1. Introduction to Graph Colouring -- 2. Bounds and Constructive Algorithms -- 3. Advanced Techniques for Graph Colouring -- 4. Algorithm Case Studies -- 5. Applications and Extensions -- 6. Designing Seating Plans -- 7. Designing Sports Leagues -- 8. Designing University Timetables.
This unique textbook treats graph colouring as an algorithmic problem, with a strong emphasis on practical applications. The work 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. Introductory chapters explain graph colouring, complexity theory, bounds and constructive algorithms. Further exposition 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. Readers should have elementary knowledge of sets, matrices, and enumerative combinatorics. Topics and features: Suitable for graduate or upper-undergraduate courses in computer science, operations research, mathematics, and engineering Focuses on state-of-the-art algorithmic solutions to classic, real-world problems Supported by online suite of downloadable code Includes many examples, suggestions for further reading, and historical notes This fine new edition will be of real value to graduate students, researchers, and practitioners in the areas of operations research, theoretical computer science, optimization, and computational intelligence. It thus will fulfill a dual role as both a key textbook for academia and a guidebook for professional self-study and pursuits. Dr. Rhyd Lewis is a reader in operational research at Cardiff School of Mathematics, Cardiff University, UK. Previously he was a lecturer in quantitative methods at Cardiff Business School.
ISBN: 9783030810542$q(electronic bk.)
Standard No.: 10.1007/978-3-030-81054-2doiSubjects--Topical Terms:
487342
Graph coloring.
LC Class. No.: QA166.247 / .L38 2021
Dewey Class. No.: 511.56
Guide to graph colouringalgorithms and applications /
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This unique textbook treats graph colouring as an algorithmic problem, with a strong emphasis on practical applications. The work 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. Introductory chapters explain graph colouring, complexity theory, bounds and constructive algorithms. Further exposition 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. Readers should have elementary knowledge of sets, matrices, and enumerative combinatorics. Topics and features: Suitable for graduate or upper-undergraduate courses in computer science, operations research, mathematics, and engineering Focuses on state-of-the-art algorithmic solutions to classic, real-world problems Supported by online suite of downloadable code Includes many examples, suggestions for further reading, and historical notes This fine new edition will be of real value to graduate students, researchers, and practitioners in the areas of operations research, theoretical computer science, optimization, and computational intelligence. It thus will fulfill a dual role as both a key textbook for academia and a guidebook for professional self-study and pursuits. Dr. Rhyd Lewis is a reader in operational research at Cardiff School of Mathematics, Cardiff University, UK. Previously he was a lecturer in quantitative methods at Cardiff Business School.
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