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math.PR2025
Competing types in preferential attachment graphs with community structure
John Haslegrave, Jonathan Jordan, Mark Yarrow
We extend the two-type preferential attachment model of AntunoviÄ, Mossel and Rácz, where each new vertex takes its type according to a defined rule based on the types of its nei…
math.PR2024
Random triangulations of the d-sphere with minimum volume
Agelos Georgakopoulos, John Haslegrave, Joel Larsson Danielsson
We study a higher-dimensional analogue of the {Random Travelling Salesman Problem}: let the complete -dimensional simplicial complex on vertices be equipped with i…