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An Algorithm for Coloring the Vertices of an Arbitrary Finite Graph

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GI. Gesellschaft für Informatik e.V. 2. Jahrestagung

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 78))

Abstract

Let be G = (V,E) an arbitrary finite graph, where E is the set of edges and V= {vk}k=1n the set of n vertices numbered from 1 to n in an arbitrary order. We write (vk,v1) = ek1∈E if the vertices vk,v1∈V are connected by an edge otherwise ek1∉E.

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References

  1. Heesch, H., Chromatic Reduction of the Triangulations Te, e=e5+e7, J. of Combinatorial Theory, Vol. 13, No. 1, 8/1972.

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  2. Heesch, H., Untersuchungen zum Vierfarbenproblem, B.I. Hochschulskriptum 8lO/8lOa/8lOb, Mannheim 1969.

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  3. Ore, O., The Four-Color Problem, Academic Press, New York, London 1967

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© 1973 Springer-Verlag Berlin · Heidelberg

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Dürre, K. (1973). An Algorithm for Coloring the Vertices of an Arbitrary Finite Graph. In: Deussen, P. (eds) GI. Gesellschaft für Informatik e.V. 2. Jahrestagung. Lecture Notes in Economics and Mathematical Systems, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80732-9_8

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  • DOI: https://doi.org/10.1007/978-3-642-80732-9_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06127-4

  • Online ISBN: 978-3-642-80732-9

  • eBook Packages: Springer Book Archive

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