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On the representation and enumeration of trees

Published online by Cambridge University Press:  24 October 2008

Stephen Glicksman
Stephen Glicksman
Affiliation:
Univac Division, Sperry Rand Corporation, New York
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Abstract

Scoins(1) has shown that if Π1 = {(1), …, (n)} and Π2 = {(n + 1), …, (n + m)} are two sets of points, there are exactly mn−1nm−1 trees of alternate parity connecting the points of Π1 ∪ Π2, where each tree consists of n + m − 1 segments and each segment joins a point of Π1 to a point of Π2. Another proof based on the three following results is given here.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 3 , July 1963 , pp. 509 - 517
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

REFERENCE

(1)Scoins, H. I., Trees with nodes of alternate parity. Proc. Cambridge Philos. Soc. 58 (1962), 12–16.CrossRefGoogle Scholar