Enumeration of Trees
β Scribed by Wing, O.
- Book ID
- 118253316
- Publisher
- Institute of Electrical and Electronics Engineers
- Year
- 1963
- Tongue
- English
- Weight
- 258 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0018-9324
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Mallows and Riordan βThe Inversion Enumerator for Labeled Trees,β __Bulletin of the American Mathematics Society__, vol. 74 [1968] pp. 92β94) first defined the inversion polynomial, __J~n~(q)__ for trees with __n__ vertices and found its generating function. In the present work, we defi
AMUacL k functtonal dicf~mition of rooted k-trees is given, enabling k-trees with n labeled points m be enumerated without any calculation.
In this paper we examine the enumeration of alternating trees. We give a bijective proof of the fact that the number of alternating unrooted trees with n vertices is given by (1Γn2 n&1 ) n k=1 ( n k ) k n&1 , a problem first posed by A. Postnikov (1997, J. Combin. Theory Ser. A 79, 360 366). We also