000 02098 a2200241 4500
003 ISI Library, Kolkata
005 20250616115123.0
008 250520b |||||||| |||| 00| 0 eng d
020 _a9783030810566
040 _aISI Library
_bEnglish
082 0 4 _223rd
_a511.56
_bL673
100 1 _aLewis, R. M. R
_eauthor
245 1 0 _aGuide to Graph Colouring:
_balgorithms and applications/
_cR.M.R. Lewis
260 _aSwitzerland:
_bSpringer,
_c2021
300 _axiv, 303 pages;
_bdiag,
_c23 cm.
490 0 _aTexts in Computer Science
504 _aIncludes bibliography and index
505 0 _aIntroduction to graph colouring -- Problem complexity -- Bounds and constructive heuristics -- Advanced techniques for graph colouring -- Algorithm case studies -- Applications and extensions -- Designing seating plans -- Designing sports leagues -- Designing university timetables
520 _aThis textbook 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 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, complexity theory, bounds and constructive algorithms. The author 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. He includes many examples, suggestions for further reading, and historical notes, and the book is supplemented by an online suite of downloadable code. The book is of value to researchers, graduate students, and practitioners in the areas of operations research, theoretical computer science, optimization, and computational intelligence.
650 4 _aMathematics
650 4 _aGraph Colouring
942 _cBK
_2ddc
999 _c436646
_d436646