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Polynomial graph-colorings

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STACS 89 (STACS 1989)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 349))

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Abstract

For directed graphs G and H, we say that G is H-colorable, if there is a graph homomorphism from G into H; that is, there is a mapping f from the vertex set of G into the vertex set of H such that whenever there is an edge (x, y) in G, then (f(x), f(y)) is an edge in H. We introduce a new technique for proving that the H-coloring problem is polynomial time decidable for some fixed graphs H. Among others, this is the case if H is a semipath (a “path” with edges directed in either direction), which has not been known before. We also show the existence of a tree T, for which the T-coloring problem is NP-complete.

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References

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Author information

Authors and Affiliations

  1. Institutes for Information Processing, TU Graz, Schiesstattgasse 4a, A-8010, Graz, Austria

    Wolfgang Gutjahr

  2. Department of Mathematics, Free University of Berlin, Arnimallee 2–6, D-1000, Berlin 33

    Emo Welzl & Gerhart Woeginger

Authors
  1. Wolfgang Gutjahr
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  2. Emo Welzl
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  3. Gerhart Woeginger
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Editor information

B. Monien R. Cori

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© 1989 Springer-Verlag Berlin Heidelberg

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Gutjahr, W., Welzl, E., Woeginger, G. (1989). Polynomial graph-colorings. In: Monien, B., Cori, R. (eds) STACS 89. STACS 1989. Lecture Notes in Computer Science, vol 349. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0028977

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  • DOI: https://doi.org/10.1007/BFb0028977

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50840-3

  • Online ISBN: 978-3-540-46098-5

  • eBook Packages: Springer Book Archive

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