Description Usage Arguments Value Author(s) References Examples

This function calculates the Furnas rank *F(T)* for a given rooted
binary tree *T*. *F(T)* is the unique rank of the tree *T*
among all rooted binary trees with *n* leaves in the left-light rooted
ordering. For details on the left-light rooted ordering as well as details
on how the Furnas rank is computed, see "The generation
of random, binary unordered trees" by G.W. Furnas (1984) or "Tree balance
indices: a comprehensive survey" by Fischer et al. (2021). The Furnas rank
is a balance index.

The concept of assigning each rooted binary tree a unique tuple *(rank, n)*
allows to store many trees with minimal storage use.
When the tree gets too big, the function returns Inf.

1 | ```
furnasI(tree)
``` |

`tree` |
A rooted binary tree in phylo format. |

`furnasI`

returns the unique Furnas rank of the given tree, i.e.
the rank of the tree among all rooted binary trees with *n* leaves in the
left-light rooted ordering.

Luise Kuehn, Lina Herbst

G. W. Furnas. The generation of random, binary unordered trees. Journal of Classification, 1984. doi: 10.1007/bf01890123. URL https://doi.org/10.1007/bf01890123.

M. Kirkpatrick and M. Slatkin. Searching for evolutionary patterns in the shape of a phylogenetic tree. Evolution, 1993. doi: 10.1111/j.1558-5646.1993.tb02144.x.

1 2 |

treebalance documentation built on Oct. 17, 2021, 5:06 p.m.

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