DMTCS Proceedings, 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

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DMTCS Conference vol AE (2005), pp. 223-228


2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

Stefan Felsner (ed.)

DMTCS Conference Volume AE (2005), pp. 223-228

author: Anthony Bonato and Jeannette Janssen
title: Infinite limits and folding
keywords: massive networks, duplication model, infinite random graph, folding, adjacency property, graph homomorphism
abstract: We study infinite limits of graphs generated by the duplication model for biological networks. We prove that with probability
, 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.
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reference: Anthony Bonato and Jeannette Janssen (2005), Infinite limits and folding, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 223-228
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
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