Reconstructing the shape of a tree from observed dissimilarity data
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Publication:103560
DOI10.1016/0196-8858(86)90038-2zbMath0613.62083OpenAlexW2042959539MaRDI QIDQ103560
Andreas W. M. Dress, Hans-Jürgen Bandelt, Hans-Jürgen Bandelt, Andreas W. M. Dress
Publication date: September 1986
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0196-8858(86)90038-2
algorithmshierarchical classificationdissimilarity indexneighbors relationtopological tree structurestree-like data
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Cites Work
- Unnamed Item
- Numbering binary trees with labeled terminal vertices
- Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces
- Parsimonious phylogenetic trees in metric spaces and simulated annealing
- Comparison of phylogenetic trees
- A probability measure for character compatibility
- Submatrices of non-tree-realizable distance matrices
- Free trees and bidirectional trees as representations of psychological distance
- Tree representations of ternary relations
- A note on the metric properties of trees
- Tree structures for proximity data
- Unrooted trees for numerical taxonomy
- A note on the tree realizability of a distance matrix