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Graph Colorings
Edited by: Marek Kubale, Gdańsk University of Technology, Poland
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Contemporary Mathematics
2004; 208 pp; softcover
Volume: 352
ISBN-10: 0-8218-3458-4
ISBN-13: 978-0-8218-3458-9
List Price: US$65
Member Price: US$52
Order Code: CONM/352
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Graph coloring is one of the oldest and best-known problems of graph theory. As people grew accustomed to applying the tools of graph theory to the solutions of real-world technological and organizational problems, new chromatic models emerged as a natural way of tackling many practical situations. Statistics show that graph coloring is one of the central issues in the collection of several hundred classical combinatorial problems.

This book is devoted to problems in graph coloring, which can be viewed as one area of discrete optimization. Chapters are dedicated to various models and are largely independent of one another. In each chapter, the author highlights algorithmic aspects of the presented models, i.e., the construction of polynomial-time algorithms for graph coloring.

This is an expanded and updated translation of the prizewinning book originally published in Polish, Optymalizacja dyskretna. Modele i metody kolorowania grafów. It is suitable for graduate students and researchers interested in graph theory.

Readership

Graduate students and research mathematicians interested in graph theory.

Table of Contents

  • A. Kosowski and K. Manuszewski -- Classical coloring of graphs
  • P. Borowiecki -- On-line coloring of graphs
  • H. Furmańczyk -- Equitable coloring of graphs
  • M. Małafiejski -- Sum coloring of graphs
  • R. Janczewski -- \(T\)-coloring of graphs
  • D. Dereniowski -- Rank coloring of graphs
  • M. Kubale -- Harmonious coloring of graphs
  • K. Giaro -- Interval edge-coloring of graphs
  • A. Nadolski -- Circular coloring of graphs
  • J. Białogrodzki -- Path coloring and routing in graphs
  • K. Piwakowski -- List colorings of graphs
  • T. Dzido -- Ramsey colorings of complete graphs
  • P. Żyliński -- Placing guards in art galleries by graph coloring
  • Bibliography
  • Index
  • Authors' addresses
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