enow.com Web Search

Search results

1. Results from the WOW.Com Content Network

2. Kruskal's tree theorem - Wikipedia

   en.wikipedia.org/wiki/Kruskal's_tree_theorem

   The version given here is that proven by Nash-Williams; Kruskal's formulation is somewhat stronger. All trees we consider are finite. Given a tree T with a root, and given vertices v, w, call w a successor of v if the unique path from the root to w contains v, and call w an immediate successor of v if additionally the path from v to w contains no other vertex.

3. Computational phylogenetics - Wikipedia

   en.wikipedia.org/wiki/Computational_phylogenetics

   Phylogenetic trees generated by computational phylogenetics can be either rooted or unrooted depending on the input data and the algorithm used. A rooted tree is a directed graph that explicitly identifies a most recent common ancestor (MRCA), [citation needed] usually an inputed sequence that is not represented in the input.

4. Tree (graph theory) - Wikipedia

   en.wikipedia.org/wiki/Tree_(graph_theory)

   A rooted tree T that is a subgraph of some graph G is a normal tree if the ends of every T-path in G are comparable in this tree-order (Diestel 2005, p. 15). Rooted trees, often with an additional structure such as an ordering of the neighbors at each vertex, are a key data structure in computer science; see tree data structure.

5. Phylogenetics - Wikipedia

   en.wikipedia.org/wiki/Phylogenetics

   A phylogenetic diagram can be rooted or unrooted. A rooted tree diagram indicates the hypothetical common ancestor of the tree. An unrooted tree diagram (a network) makes no assumption about the ancestral line, and does not show the origin or "root" of the taxa in question or the direction of inferred evolutionary transformations. [5]

6. Neighbor joining - Wikipedia

   en.wikipedia.org/wiki/Neighbor_joining

   In bioinformatics, neighbor joining is a bottom-up (agglomerative) clustering method for the creation of phylogenetic trees, created by Naruya Saitou and Masatoshi Nei in 1987. [1] Usually based on DNA or protein sequence data, the algorithm requires knowledge of the distance between each pair of taxa (e.g., species or sequences) to create the ...

7. Tree (set theory) - Wikipedia

   en.wikipedia.org/wiki/Tree_(set_theory)

   Trees with a single root may be viewed as rooted trees in the sense of graph theory in one of two ways: either as a tree (graph theory) or as a trivially perfect graph. In the first case, the graph is the undirected Hasse diagram of the partially ordered set, and in the second case, the graph is simply the underlying (undirected) graph of the ...

8. List of phylogenetics software - Wikipedia

   en.wikipedia.org/wiki/List_of_phylogenetics_software

   Tool for visualizing rooted trees and calculating rooted networks: Rooted trees, tanglegrams, consensus networks, hybridization networks: Daniel Huson et al. EXACT [16] [17] EXACT is based on the perfect phylogeny model, and uses a very fast homotopy algorithm to evaluate the fitness of different trees, and then it brute forces the tree search ...

9. Cayley's formula - Wikipedia

   en.wikipedia.org/wiki/Cayley's_formula

   Each labelled rooted forest can be turned into a labelled tree with one extra vertex, by adding a vertex with label n + 1 and connecting it to all roots of the trees in the forest. There is a close connection with rooted forests and parking functions , since the number of parking functions on n cars is also ( n + 1) n − 1 .