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The graph of the chromial of a graph

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Part of the Lecture Notes in Mathematics book series (LNM,volume 452)

Abstract

The chromial or chromatic polynomial of a finite graph G is a polynomial P(G,λ) in a variable λ with the following property: the value of P(G,λ) when λ is a positive integer is the number of ways of colouring G in λ colours. In this paper various properties of the chromial, considered as a function of a real variable λ, are discussed.

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References

  1. G. D. Birkhoff and D. C. Lewis, Chromatic polynomials, Trans. Amer. Math. Soc. 60 (1946), 355–451.

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  2. W. T. Tutte, On chromatic polynomials and the golden ratio, J. Combinatorial Theory 9(1970), 289–296.

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  3. W. T. Tutte, The golden ratio in the theory of chromatic polynomials, Annals of the New York Academy of Sciences, 175 (1970), 391–402.

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  4. W. T. Tutte, Chromatic sums for rooted planar triangulations, V: special equations, Canadian J. Math. To appear.

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© 1975 Springer-Verlag

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Tutte, W.T. (1975). The graph of the chromial of a graph. In: Street, A.P., Wallis, W.D. (eds) Combinatorial Mathematics III. Lecture Notes in Mathematics, vol 452. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069543

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  • DOI: https://doi.org/10.1007/BFb0069543

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07154-9

  • Online ISBN: 978-3-540-37482-4

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