• Corpus ID: 12863130

The largest strongly connected component in Wakeley et al's cyclical pedigree model

@article{Blath2014TheLS,
  title={The largest strongly connected component in Wakeley et al's cyclical pedigree model},
  author={Jochen Blath and Stephan Kadow and Marcel Ortgiese},
  journal={arXiv: Probability},
  year={2014}
}
We establish a link between Wakeley et al's (2012) cyclical pedigree model from population genetics and a randomized directed configuration model (DCM) considered by Cooper and Frieze (2004). We then exploit this link in combination with asymptotic results for the in-degree distribution of the corresponding DCM to compute the asymptotic size of the largest strongly connected component $S^N$ (where $N$ is the population size) of the DCM resp. the pedigree. The size of the giant component can be… 

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