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The stability index of the product of a path and a tree

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Combinatorial Mathematics IV

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 560))

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Abstract

The stability index of the product of a path and a tree is calculated and a lower bound for the stability index of the product of two trees is given.

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References

  1. D.D. Grant, The Stability Index of Graphs, In Combinatorial Mathematics, Proceedings of the Second Australian Conference, Lecture Notes in Mathematics, 452. (Springer-Verlag, Berlin, 1975.)

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  2. D.D. Grant, Stability and Operations on Graphs, In Combinatorial Mathematics III, Proceedings of the Third Australian Conference, Lecture Notes in Mathematics, 452. (Springer-Verlag, Berlin, 1975).

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  3. F. Harary, Graph Theory. (Addison-Wesley, 1969.)

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  4. P. Heffernan, Trees. M.Sc. Thesis, University of Canterbury, New Zealand, 1972.

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  5. D.A. Holton, Stable Trees, J. Austral. Math. Soc. 15 (1973), 476–481.

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  9. J. Sims and D.A. Holton, Stability of Cartesian Products, (submitted).

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Authors

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Louis R. A. Casse Walter D. Wallis

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© 1976 Springer-Verlag

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Stacey, K.C., Mcavaney, K.L., Sims, J. (1976). The stability index of the product of a path and a tree. In: Casse, L.R.A., Wallis, W.D. (eds) Combinatorial Mathematics IV. Lecture Notes in Mathematics, vol 560. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097384

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  • DOI: https://doi.org/10.1007/BFb0097384

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08053-4

  • Online ISBN: 978-3-540-37537-1

  • eBook Packages: Springer Book Archive

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