LEADER 04241nam 22007095 450 001 9910502613203321 005 20251113193350.0 010 $a3-030-81054-2 024 7 $a10.1007/978-3-030-81054-2 035 $a(CKB)5140000000012945 035 $a(MiAaPQ)EBC6747444 035 $a(Au-PeEL)EBL6747444 035 $a(OCoLC)1274060612 035 $a(DE-He213)978-3-030-81054-2 035 $a(PPN)258296895 035 $a(EXLCZ)995140000000012945 100 $a20211007d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGuide to Graph Colouring $eAlgorithms and Applications /$fby R. M. R. Lewis 205 $a2nd ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (315 pages) 225 1 $aTexts in Computer Science,$x1868-095X 311 08$a3-030-81053-4 327 $a1. 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. 330 $aThis unique textbook treats graph colouring as an algorithmic problem, with a strong emphasis on practical applications. The work describes and analyses some of the best-known algorithms for colouring graphs, focusing on: whether these heuristics can provide optimal solutions in some cases; how they perform on graphs where the chromatic number is unknown; and whether they can produce better solutions than other algorithms for certain types of graphs, and why. Introductory chapters explain graph colouring, complexity theory, bounds and constructive algorithms. Further exposition then shows how advanced graph-colouring techniques can be applied to classic real-world operational research problems, such as designing seating plans, sports scheduling, and university timetabling. Readers should have elementary knowledge of sets, matrices, and enumerative combinatorics. Topics and features: Suitable for graduate or upper-undergraduate courses in computer science, operations research, mathematics, and engineering Focuses on state-of-the-art algorithmic solutions to classic, real-world problems Supported by online suite of downloadable code Includes many examples, suggestions for further reading, and historical notes This fine new edition will be of real value to graduate students, researchers, and practitioners in the areas of operations research, theoretical computer science, optimization, and computational intelligence. It thus will fulfill a dual role as both a key textbook for academia and a guidebook for professional self-study and pursuits. Dr. Rhyd Lewis is a reader in operational research at Cardiff School of Mathematics, Cardiff University, UK. Previously he was a lecturer in quantitative methods at Cardiff Business School. . 410 0$aTexts in Computer Science,$x1868-095X 606 $aComputer science 606 $aOperations research 606 $aGraph theory 606 $aMathematical optimization 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aTheory of Computation 606 $aOperations Research and Decision Theory 606 $aGraph Theory 606 $aOptimization 606 $aMathematical and Computational Engineering Applications 615 0$aComputer science. 615 0$aOperations research. 615 0$aGraph theory. 615 0$aMathematical optimization. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 14$aTheory of Computation. 615 24$aOperations Research and Decision Theory. 615 24$aGraph Theory. 615 24$aOptimization. 615 24$aMathematical and Computational Engineering Applications. 676 $a511.56 700 $aLewis$b R. M. R.$01072930 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910502613203321 996 $aGuide to Graph Colouring$92569144 997 $aUNINA