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- W4287163984 abstract "We study the degree distribution of a randomly chosen vertex in a duplication--divergence graph, under a variety of different generalizations of the basic model of Bhan, Galas and Dewey (2002) and V'azquez, Flammini, Maritan and Vespignani (2003). We pay particular attention to what happens when a non-trivial proportion of the vertices have large degrees, establishing a central limit theorem for the logarithm of the degree distribution. Our approach, as in Jordan (2018) and Hermann and Pfaffelhuber (2021), relies heavily on the analysis of related birth--catastrophe processes, and couplings are used to show that a number of different formulations of the process have asymptotically similar expected degree distributions." @default.
- W4287163984 created "2022-07-25" @default.
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- W4287163984 date "2021-05-29" @default.
- W4287163984 modified "2023-09-23" @default.
- W4287163984 title "The expected degree distribution in transient duplication divergence models" @default.
- W4287163984 doi "https://doi.org/10.48550/arxiv.2105.14227" @default.
- W4287163984 hasPublicationYear "2021" @default.
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