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
Enumerating k-trees
β Scribed by Dominique Foata
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 256 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
AMUacL k functtonal dicf~mition of rooted k-trees is given, enabling k-trees with n labeled points m be enumerated without any calculation.
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