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The enumeration of rooted trees by total height

Published online by Cambridge University Press:  09 April 2009

John Riordan  and
N. J. A. Sloane
John Riordan
Affiliation:
Rockefeller University
N. J. A. Sloane
Affiliation:
Cornell University
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The height (as in [3] and [4]) of a point in a rooted tree is the length of the path (that is, the number of lines in the path) from it to the root; the total height of a rooted tree is the sum of the heights of its points. The latter arises naturally in studies of random neural networks made by one of us (N.J.A.S.), where the enumeration of greatest interest is that of trees with all points distinctly labeled.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 10 , Issue 3-4 , November 1969 , pp. 278 - 282
Copyright
Copyright © Australian Mathematical Society 1969

References

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