18 citations · 38 across the 21 of their papers we have counts for
25 papers
The distributions under two species-tree models of the total number of ancestral configurations for matching gene trees and species trees
Filippo Disanto, Michael Fuchs, Chun-Yen Huang +2
Given a gene-tree labeled topology and a species tree , the "ancestral configurations" at an internal node of represent the combinatorially different sets of gene li…
Enumerative and Distributional Results for -combining Tree-Child Networks
Yu-Sheng Chang, Michael Fuchs, Hexuan Liu +2
Tree-child networks are one of the most prominent network classes for modeling evolutionary processes which contain reticulation events. Several recent studies have addressed count…
Distribution of external branch lengths in Yule trees
Filippo Disanto, Michael Fuchs
The Yule branching process is a classical model for the random generation of gene tree topologies in population genetics. It generates binary ranked trees -- also called "histories…
Limit Theorems for Patterns in Ranked Tree-Child Networks
Michael Fuchs, Hexuan Liu, Tsan-Cheng Yu
We prove limit laws for the number of occurrences of a pattern on the fringe of a ranked tree-child network which is picked uniformly at random. Our results extend the limit law fo…
Enumeration of -combining Tree-Child Networks
Yu-Sheng Chang, Michael Fuchs, Hexuan Liu +2
Tree-child networks are one of the most prominent network classes for modeling evolutionary processes which contain reticulation events. Several recent studies have addressed count…
Two Results about the Sackin and Colless Indices for Phylogenetic Trees and Their Shapes
Gary Goh, Michael Fuchs, Louxin Zhang
The Sackin and Colless indices are two widely-used metrics for measuring the balance of trees and for testing evolutionary models in phylogenetics. This short paper contributes two…