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gCol

swMATH ID: 41492
Software Authors: Lewis, R. M. R.
Description: A guide to graph colouring. Algorithms and applications. 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.
Homepage: https://link.springer.com/content/pdf/bbm%3A978-3-319-25730-3%2F1.pdf
Dependencies: C++
Keywords: graph colouring; graph colouring algorithms; graph colouring applications
Related Software: CALMA; irace; Tabu search; GNU parallel; ilsts-wvcp; TSpack; CAPOPT; ACVIZ; HHBQP; AClib; SMAC; BPPLIB; GitHub; FrogCOL; SATenstein; BiqMac; ACOTSP; Biq Mac; DIMACS; race
Cited in: 27 Publications

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
A guide to graph colouring. Algorithms and applications. Zbl 1330.05002
Lewis, R. M. R.
2016
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Cited by 55 Authors

4 Lewis, Rhyd
3 Morgan, Kerri
3 Thiruvady, Dhananjay
2 Hao, Jin-Kao
2 Jansen, Bart M. P.
2 Lewis, R. M. R.
2 Nederlof, Jesper
1 Aragón Artacho, Francisco Javier
1 Bandyopadhyay, Abhirup
1 Basu, Sankar
1 Benkoczi, Robert R.
1 Breuckmann, Nikolas P.
1 Campoy, Rubén
1 Chamberland, C.
1 Cooper, James W.
1 Crnkić, Aladin
1 Dahal, Ram
1 Dhar, Amit Kumar
1 Ekim, Tınaz
1 Elser, Veit
1 Furini, Fabio
1 Gaur, Daya Ram
1 Goudet, Olivier
1 Grelier, Cyril
1 Hawa, Asyl L.
1 Huang, Dongming
1 Ivanov, Aleksandr Olegovich
1 Jaćimović, Vladimir
1 Janson, Lucas
1 Kobourov, Stephen G.
1 Lai, Xiangjing
1 Lauri, Juho
1 Levnajić, Zoran
1 Liotta, Giuseppe
1 López-Ibáñez, Manuel
1 Malaguti, Enrico
1 Mitillos, Christodoulos
1 Montecchiani, Fabrizio
1 Nicolescu, Radu
1 Povh, Janez
1 Ritt, Marcus
1 Robert, Louis-Hadrien
1 Santini, Alberto
1 Şeker, Oylum
1 Smith-Miles, Kate A.
1 Song, Lili
1 Sun, Lei
1 Sun, Wen
1 Taşkın, Z. Caner
1 Terhal, Barbara M.
1 Thompson, Jonathan M.
1 Tuzhilin, Alexey Avgustinovich
1 Wagner, Emmanuel
1 Wu, Qinghua
1 Zhang, Xin
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Cited in 18 Serials

4 Computers & Operations Research
2 Acta Mathematicae Applicatae Sinica. English Series
2 European Journal of Operational Research
1 The Annals of Statistics
1 Information Sciences
1 Theoretical Computer Science
1 Journal of Global Optimization
1 Theory of Computing Systems
1 Soft Computing
1 Chaos
1 4OR
1 Journal of Discrete Algorithms
1 Chebyshevskiĭ Sbornik
1 Quantum Topology
1 Computer Science Review
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Texts in Computer Science
1 Journal of Membrane Computing
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Cited in 10 Fields

19 Combinatorics (05-XX)
14 Operations research, mathematical programming (90-XX)
10 Computer science (68-XX)
1 Nonassociative rings and algebras (17-XX)
1 Ordinary differential equations (34-XX)
1 Operator theory (47-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)

Citations by Year