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Chromatically equivalent graphs

  • Part III: Contributed Papers New Results On Graphs And Combinatorics
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Graphs and Combinatorics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 406))

Abstract

Let G,H be graphs, and P(G,λ), P(H,λ) be the chromatic polynomials of G,H respectively. Then G is chromatically equivalent to H, (written P H), if P(G,λ) = P(H,λ).

In this paper, we first state some open questions relating to chromatic equivalence of graphs, and then give non-trivial examples of chromatically equivalent graphs and their chromatic polynomials.

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References

  1. Bari, R., "Absolute Reducibility of Maps of at Most 19 Regions," Doctoral Dissertation, John Hopkins University, 1966.

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Ruth A. Bari Frank Harary

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© 1974 Springer-Verlag Berlin

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Bari, R.A. (1974). Chromatically equivalent graphs. In: Bari, R.A., Harary, F. (eds) Graphs and Combinatorics. Lecture Notes in Mathematics, vol 406. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066441

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  • DOI: https://doi.org/10.1007/BFb0066441

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06854-9

  • Online ISBN: 978-3-540-37809-9

  • eBook Packages: Springer Book Archive

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