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One-factorisations of wreath products

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Combinatorial Mathematics VIII

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 884))

Abstract

Some sufficient conditions are proven for the existence of one-factorisations of wreath products of graphs. That these conditions are not necessary is then established by examples.

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References

  1. M. Behzad, G. Chartrand and J.K. Cooper Jr., The colour numbers of complete graphs, J. London Math. Soc. 42 (1967), 226–228.

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  2. P.E. Himelwright, W.D. Wallis and J.E. Williamson, On one-factorisations of compositions of graphs (to appear).

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  3. P.E. Himelwright and J.E. Williamson, On 1-factorability and edge-colorability of cartesian products of graphs, Elem. Math. 29 (1974), 66–68.

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  4. A. Kotzig, Problems and recent results on 1-factorizations of cartesian products of graphs, Proc. Ninth South-eastern Conference on Combinatorics, Graph Theory and Computing. (Utilitas Math. Publ., Winnipeg, 1978), 457–460.

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  5. R. Laskar and W. Hare, Chromatic numbers for certain graphs, J. London Math. Soc. (2) 4 (1972), 489–492.

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  6. E. Mahmoodian, On edge-colorability of cartesian products of graphs, Canad. Math. Bull. (to appear).

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  7. E.T. Parker, Edge-coloring numbers of some regular graphs, Proc. Amer. Math. Soc. 37 (1973), 423–424.

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  8. W.D. Wallis, A one-factorisation of a cartesian product, Utilitas Math. (to appear).

    Google Scholar 

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Kevin L. McAvaney

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© 1981 Springer-Verlag

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Wallis, W.D. (1981). One-factorisations of wreath products. In: McAvaney, K.L. (eds) Combinatorial Mathematics VIII. Lecture Notes in Mathematics, vol 884. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091829

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  • DOI: https://doi.org/10.1007/BFb0091829

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10883-2

  • Online ISBN: 978-3-540-38792-3

  • eBook Packages: Springer Book Archive

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