18 citations · 18 across the 4 of their papers we have counts for
5 papers · 1 filter
Colonization times in Moran process on graphs
Lenka Kopfová, Josef Tkadlec
Moran Birth-death process is a standard stochastic process that is used to model natural selection in spatially structured populations. A newly occurring mutation that invades a po…
Seed Selection in the Heterogeneous Moran Process
Petros Petsinis, Andreas Pavlogiannis, Josef Tkadlec +1
The Moran process is a classic stochastic process that models the rise and takeover of novel traits in network-structured populations. In biological terms, a set of mutants, each w…
Long Plane Trees
Sergio Cabello, Michael Hoffmann, Katharina Klost +2
In the longest plane spanning tree problem, we are given a finite planar point set , and our task is to find a plane (i.e., noncrossing) spanning tree for $\mathcal{P}…
Fixation times on directed graphs
David A. Brewster, Martin A. Nowak, Josef Tkadlec
Computing the rate of evolution in spatially structured populations is difficult. A key quantity is the fixation time of a single mutant with relative reproduction rate which i…
Amplifiers of selection for the Moran process with both Birth-death and death-Birth updating
Jakub Svoboda, Soham Joshi, Josef Tkadlec +1
Populations evolve by accumulating advantageous mutations. Every population has some spatial structure that can be modeled by an underlying network. The network then influences the…