Rate of coalescence of lineage pairs in the Spatial<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e895" altimg="si5.svg"><mml:mi>Λ</mml:mi></mml:math>-Fleming–Viot process

Wirtz, Johannes; Guindon, Stéphane

doi:10.1016/j.tpb.2022.05.002

Search citation statements

Order By: Relevance

Paper Sections

Select...

Discussion1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

2024

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The combinatorial class L n can play an important benchmarking role for algorithms making use of the theoretical foundations of the Λ-coalescents [14,16,29]. Possible areas of research following up on the present analysis include the investigation of average tree height and balance, much like in [6].…”

Section: Discussionmentioning

confidence: 99%

On the enumeration of leaf-labeled increasing trees with arbitrary node-degree

Wirtz

2023

Art Discrete Appl. Math.

View full text Add to dashboard Cite

We consider the counting problem of the number of leaf-labeled increasing trees, where internal nodes may have an arbitrary number of descendants. The set of all such trees is a discrete representation of the genealogies obtained under certain population-genetical models such as multiple-merger coalescents. While the combinatorics of the binary trees among those are well understood, for the number of all trees only an approximate asymptotic formula is known. In this work, we validate this formula up to constant terms and compare the asymptotic behavior of the number of all leaf-labeled increasing trees to that of binary, ternary and quaternary trees.

show abstract