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Completely semi-stable trees

Published online by Cambridge University Press:  17 April 2009

D.A. Holton
D.A. Holton
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria.
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Abstract

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Completely semi-stable trees are characterised by the complete absence of three types of subtrees.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 9 , Issue 3 , December 1973 , pp. 355 - 362
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Harary, Frank, Graph theory (Addison-Wesley, Reading, Massachussets; London; Ontario; 1969).CrossRefGoogle Scholar
[2]Holton, D.A., “Stable trees”, Proc. First Austral. Conf. Combinatorial Math., Newcastle, 1972, 15–21 (TUNRA, Newcastle, 1972).Google Scholar
[3]Holton, D.A., “Two applications of semi-stability”, Discrete Math. 4 (1973), 151–158.CrossRefGoogle Scholar
[4]Holton, D.A., “Some results on semi-stable graphs”, Proc. British Combinatorial Soc. (Aberystwyth, 1973).Google Scholar
[5]Holton, D.A., “A report on stable graphs”, J. Austral. Math. Soc. 15 (1973), 163–171.CrossRefGoogle Scholar
[6]Holton, D.A. and Grant, Douglas D., “Regular graphs and stability”, (submitted).Google Scholar
[7]Wielandt, Helmut, Finite, permutation groups (translated by Bercov, R.; Academic Press, New York, London, 1964).Google Scholar