Jordan, J.H. (2018) Preferential attachment graphs with co-existing types of different fitnesses. Journal of Applied Probability, 55 (4). pp. 1211-1227. ISSN 0021-9002
Abstract
We extend the work of Antunović et al. (2016) on competing types in preferential attachment models to include cases where the types have different fitnesses, which may be either multiplicative or additive. We show that, depending on the values of the parameters of the models, there are different possible limiting behaviours depending on the zeros of a certain function. In particular, we show the existence of choices of the parameters where one type is favoured both by having higher fitness and by the type of attachment mechanism, but the other type has a positive probability of dominating the network in the limit.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 Applied Probability Trust. This is an author produced version of a paper subsequently published in Journal of Applied Probability. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Preferential attachment; competing types; fitness |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 23 Nov 2018 11:42 |
Last Modified: | 17 Jan 2019 09:28 |
Published Version: | https://doi.org/10.1017/jpr.2018.80 |
Status: | Published |
Publisher: | Applied Probability Trust |
Refereed: | Yes |
Identification Number: | 10.1017/jpr.2018.80 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:138421 |