Abstract
The 4-color problem was a main driving force for the development of graph theory as we know it today, and coloring is still a topic that many graph theorists like best. Here is a simple-sounding coloring problem, raised by Jeff Dinitz in 1978, which defied all attacks until its astonishingly simple solution by Fred Galvin fifteen years later.
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References
I P. Erdös, A. L. Rubin and H. Taylor: Choosability in graphs, Proc. West Coast Conference on Combinatorics, Graph Theory and Computing, Congres-sus Numerantium 26 (1979), 125–157.
D. Gale and L. S. Shapley: College admissions and the stability of marriage, Amer. Math. Monthly 69 (1962), 9–15.
F. Galvin: The list chromatic index of a bipartite multigraph, J. Combinatorial Theory, Ser. B 63 (1995), 153–158.
J. C. M. Janssen: The Dinitz problem solved for rectangles, Bull. Amer. Math. Soc. 29 (1993), 243–249.
V. G. Vizing: Coloring the vertices of a graph in prescribed colours (in Russian), Metody Diskret. Analiz. 101 (1976), 3–10.
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© 1998 Springer-Verlag Berlin Heidelberg
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Aigner, M., Ziegler, G.M. (1998). The Dinitz problem. In: Proofs from THE BOOK. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22343-7_24
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DOI: https://doi.org/10.1007/978-3-662-22343-7_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-22345-1
Online ISBN: 978-3-662-22343-7
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