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Extensive Condensation in a model of Preferential Attachment with Fitnesses
Nic Freeman, Jonathan Jordan
We introduce a new model of preferential attachment with fitness, and establish a time reversed duality between the model and a system of branching-coalescing particles. Using this…
Condensation in preferential attachment models with location-based choice
John Haslegrave, Jonathan Jordan, Mark Yarrow
We introduce a model of a preferential attachment based random graph which extends the family of models in which condensation phenomena can occur. Each vertex has an associated uni…
Non-convergence of proportions of types in a preferential attachment graph with three co-existing types
John Haslegrave, Jonathan Jordan
We consider the preferential attachment model with multiple vertex types introduced by Antunović, Mossel and Rácz. We give an example with three types, based on the game of rock-pa…
Preferential attachment graphs with co-existing types of different fitnesses
Jonathan Jordan
We extend the work of Antunović, Mossel and Rácz on competing types in preferential attachment models to include cases where the types have different fitnesses, which may be either…