Counting labels in binary trees
โ Scribed by Renzo Sprugnoli
- Publisher
- Springer Netherlands
- Year
- 1990
- Tongue
- English
- Weight
- 362 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0006-3835
No coin nor oath required. For personal study only.
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For each rooted binary tree with t labeled terminal vertices (leaves) a natural number can be assigned uniquely. Unrooted trees with t labeled terminal vertices and t-2 unlabeled internal vertices of degree 3 can also be numbered uniquely using the same convention. Rooted trees in which the heights
The properties of special pairs of tree counting polynomials that relate to a class of incomplete graphs and their complements are presented. These polynomial pairs are related by the previously defined binary complementing operation. In contrast with alternative graph representations, they offer th