Abstract : We study infinite limits of graphs generated by the duplication model for biological networks. We prove that with probability 1, the sole nontrivial connected component of the limits is unique up to isomorphism. We describe certain infinite deterministic graphs which arise naturally from the model. We characterize the isomorphism type and induced subgraph structure of these infinite graphs using the notion of dismantlability from the theory of vertex pursuit games, and graph homomorphisms.
https://hal.inria.fr/hal-01184367 Contributor : Coordination Episciences IamConnect in order to contact the contributor Submitted on : Friday, August 14, 2015 - 11:37:46 AM Last modification on : Thursday, May 11, 2017 - 1:03:06 AM Long-term archiving on: : Sunday, November 15, 2015 - 11:01:56 AM
Anthony Bonato, Jeannette Janssen. Infinite limits and folding. 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), 2005, Berlin, Germany. pp.223-228, ⟨10.46298/dmtcs.3410⟩. ⟨hal-01184367⟩