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Stability and cacti

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

Abstract

It is found that all but five cacti with a cycle are semi-stable and that cacti with a transposition automorphism are stable.

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References

  1. Douglas D. Grant, Stability and operations on graphs, this volume, 116–135.

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

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  3. D. A. Holton, Stable trees, Proc. First Austral. Conf. on Combinatorial Mathematics, Eds. Jennifer Wallis and W. D. Wallis, (TUNRA, Newcastle, 1972), 15–21.

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  4. K. L. McAvaney, Semi-stable and stable cacti, submitted.

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  5. K. L. McAvaney, Douglas D. Grant, D. A. Holton, Stable and semistable unicyclic graphs. Discrete Maths, to appear.

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© 1975 Springer-Verlag

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McAvaney, K.L. (1975). Stability and cacti. 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/BFb0069556

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  • DOI: https://doi.org/10.1007/BFb0069556

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07154-9

  • Online ISBN: 978-3-540-37482-4

  • eBook Packages: Springer Book Archive