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
Douglas D. Grant, Stability and operations on graphs, this volume, 116–135.
P. Heffernan, Trees, M.Sc. Thesis, University of Canterbury, New Zealand, 1972.
D. A. Holton, Stable trees, Proc. First Austral. Conf. on Combinatorial Mathematics, Eds. Jennifer Wallis and W. D. Wallis, (TUNRA, Newcastle, 1972), 15–21.
K. L. McAvaney, Semi-stable and stable cacti, submitted.
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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