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The binding number of product graphs

Part of the Lecture Notes in Mathematics book series (LNM,volume 1073)

Abstract

In this paper, some general properties of the binding number of product graphs are obtained. Also given are some formulas and limit properties of the binding number of the product of some special graphs.

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References

  1. F. Harary, Graph Theory, Addison Wesley, Mass., 1969.

    MATH  Google Scholar 

  2. V. G. Kane, S. P. Mohanty and R. S. Hales, Product Graphs and Binding Number, Ars Combinatoria Vol. 11 (1981) 201–224.

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  3. Liu Jiuqiang, Tian Songlin, The Binding Number of the Cartesian product of n circuits (to appear).

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  4. Luo Youxue, The Binding Number of Product Graphs — proof of a conjecture of V. G. Kane, et al. (to appear).

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  5. D. R. Woodall, The Binding Number of a Graph and Its Anderson Number, J. Comb. Theory, Ser. B. 15 (1973), 225–255.

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© 1984 Springer-Verlag

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Jianfang, W., Songlin, T., Jiuqiang, L. (1984). The binding number of product graphs. In: Koh, K.M., Yap, H.P. (eds) Graph Theory Singapore 1983. Lecture Notes in Mathematics, vol 1073. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073110

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  • DOI: https://doi.org/10.1007/BFb0073110

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13368-1

  • Online ISBN: 978-3-540-38924-8

  • eBook Packages: Springer Book Archive