18 citations · 53 across the 13 of their papers we have counts for
3 papers · 1 filter
On the Number of Increasing Trees with Label Repetitions
Olivier Bodini, Antoine Genitrini, Bernhard Gittenberger +1
We study the asymptotic number of certain monotonically labeled increasing trees arising from a generalized evolution process. The main difference between the presented model and t…
Threshold functions for small subgraphs in simple graphs and multigraphs
Gwendal Collet, Élie de Panafieu, Danièle Gardy +2
We revisit the problem of counting the number of copies of a fixed graph in a random graph or multigraph, for various models of random (multi)graphs. For our proofs we introduce th…
Counting Phylogenetic Networks with Few Reticulation Vertices: Tree-Child and Normal Networks
Michael Fuchs, Bernhard Gittenberger, Marefatollah Mansouri
In recent decades, phylogenetic networks have become a standard tool in modeling evolutionary processes. Nevertheless, basic combinatorial questions about them are still largely op…