Exponentially many supertrees
✍ Scribed by S. Böcker
- Book ID
- 104349393
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 409 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
The amalgamation of leaf-labelled trees into a single supertree that displays each of the input trees is an important problem in classification. Clearly, there can be more than one (super) tree for a given set of input trees, in particular if a highly unresolved supertree exists. Here, we show (by explicit construction) that even if every supertree of a given collection of input trees is binary, there can still be exponentially many such supertrees.
📜 SIMILAR VOLUMES
put forward the following conjecture: Let {C n } be a sequence of binary linear codes of distance d n and A dn be the number of vectors of weight d n in C n . Then log 2 A dn =o(n). We disprove this by constructing a family of linear codes from geometric Goppa codes in which the number of vectors of