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Unrooted binary tree information


A cladogram in the form of an unrooted binary tree, representing the similarities and evolutionary history among species of actinobacteria.

In mathematics and computer science, an unrooted binary tree is an unrooted tree in which each vertex has either one or three neighbors.

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Unrooted binary tree

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science, an unrooted binary tree is an unrooted tree in which each vertex has either one or three neighbors. A free tree or unrooted tree is a connected...

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Binary tree

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binary search tree Splay tree Strahler number Tree of primitive Pythagorean triples#Alternative methods of generating the tree Unrooted binary tree Rowan...

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Phylogenetic tree

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node (that is, it forms a binary tree), and an unrooted bifurcating tree takes the form of an unrooted binary tree, a free tree with exactly three neighbors...

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Newick format

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exactly two immediate descendant nodes for each internal node. An unrooted binary tree that is rooted on an arbitrary internal node has exactly three immediate...

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Glossary of graph theory

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unrooted binary tree with its leaves labeled by the edges of G. The width of a branch-decomposition is the maximum, over edges e of this binary tree,...

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Top tree

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A top tree is a data structure based on a binary tree for unrooted dynamic trees that is used mainly for various path-related operations. It allows simple...

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Double factorial

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the tree (with doubled edges) gives a Stirling permutation, and every Stirling permutation represents a tree in this way. Unrooted binary trees with...

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Least squares inference in phylogeny

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non-trivial problem. It involves searching the discrete space of unrooted binary tree topologies whose size is exponential in the number of leaves. For...

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Phylogenetic network

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(hybridization networks, usually built from rooted trees, ancestral recombination graphs (ARGs) from binary sequences, median networks from a set of splits...

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Carving width

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as an unrooted binary tree whose leaves are labeled with the vertices of the given graph. Removing any edge from this tree partitions the tree into two...

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Computational phylogenetics

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contrast, unrooted trees plot the distances and relationships between input sequences without making assumptions regarding their descent. An unrooted tree can...

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Matroid minor

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elements, represented as an unrooted binary tree with the elements of the matroid at its leaves. Removing any edge of this tree partitions the matroids into...

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Bayesian inference in phylogeny

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likelihood to create the so-called posterior probability of trees, which is the probability that the tree is correct given the data, the prior and the likelihood...

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Combinatorial class

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choice of polygon to triangulate for each size) and the set of unrooted binary plane trees (up to graph isomorphism, with a fixed ordering of the leaves...

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Multispecies coalescent process

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gene tree is a binary graph that describes the evolutionary relationships between a sample of sequences for a non-recombining locus. A species tree describes...

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Agreement forest

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elements of a set X is called a (rooted or unrooted) X-tree. Such a X-tree usually model a phylogenetic tree, where the elements of X (the taxon set) could...

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Substitution model

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site pattern frequencies only the tree topology and the branch lengths (given four taxa an unrooted bifurcating tree has five branch lengths). Substitution...

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Phylogenetic reconciliation

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such as considering unrooted symbiont trees or dealing with polytomies in Jane. Reconciliation can easily take unrooted lower trees as input, which is...

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Long branch attraction

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that we are considering a single binary character (it can either be + or -) distributed on the unrooted "true tree" with branch lengths proportional...

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Quantitative comparative linguistics

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pair of vertices. Unrooted trees plot the relationship between the input data without assumptions regarding their descent. A rooted tree explicitly identifies...

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Pathwidth

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Strahler number, a measure of the complexity of rooted trees defined similarly to pathwidth of unrooted trees Diestel & Kühn (2005). Robertson & Seymour (1983)...

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Eurasiatic languages

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date the phylogenetic trees of the seven language families under examination. Five separate runs produced the same (unrooted) tree, with three sets of language...

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TBC1D30

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K, Begg BE, Bian W, et al. (April 2020). "A reference map of the human binary protein interactome". Nature. 580 (7803): 402–408. Bibcode:2020Natur.580...

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Alkane

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Integer Sequences (sequence A000602 in the OEIS) Number of n-node unrooted quartic trees; number of n-carbon alkanes C(n)H(2n+2) ignoring stereoisomers Alabugin...

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