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Terminal path numbers for certain families of trees

Published online by Cambridge University Press:  09 April 2009

A. Meir
Affiliation:
Mathematics Department, University of Alberta, Edmonton, Alberta, Canada, T6G 2G1
J. W. Moon
Affiliation:
Mathematics Department, University of Alberta, Edmonton, Alberta, Canada, T6G 2G1
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Abstract

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We determine the limiting distribution of the distance from the root of a tree to any nearest endnode of the tree (other than the root) for certain families of rooted trees.

MSC classification

Secondary: 05C05: Trees
Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1981

References

Bromwich, T. (1931), An introduction to the theory of infinite series (Macmillan, London).Google Scholar
De Bruijn, N. G. (1970), Asymptotic methods in analysis (North-Holland, Amsterdam).Google Scholar
Grimmett, G. R. (1980), ‘Random labelled trees and their branching networks’, J. Austral. Math. Soc. Ser. A 30, 229237.CrossRefGoogle Scholar
Harary, F. and Palmer, E. (1973), Graphical enumeration (Academic Press, New York).Google Scholar
Meir, A. and Moon, J. W. (1973), ‘Climbing certain types of rooted trees, I.’, Proc. Fifth British Comb. Conf., University of Aberdeen, edited by Nash-Williams, C. St. J. A. and Sheehan, J., pp. 461469. (Utilitas Mathematica Publishing Inc., Winnipeg).Google Scholar
Meir, A. and Moon, J. W. (1977), ‘Packing and covering constants for certain families of trees, J.’, J. Graph Theory 1, 157174.CrossRefGoogle Scholar
Meir, A. and Moon, J. W. (1978), ‘On the altitude of nodes in random trees’, Canad. J. Math. 30, 9971015.CrossRefGoogle Scholar
Moon, J. W. (1970), Counting labelled trees (Canadian Mathematical Congress, Montreal).Google Scholar
Otter, R. (1949), ‘The multiplicative process’, Ann. Math. Statist. 20, 206224.CrossRefGoogle Scholar
Royden, H. L. (1968), Real analysis (Macmillan, New York).Google Scholar