A time-invariant random graph with splitting events

We introduce a process where a connected rooted multigraph evolves by splitting events on its vertices, occurring randomly in continuous time. When a vertex splits, its incoming edges are randomly assigned between its offspring and a Poisson random number of edges are added between them. The process...

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Bibliographic Details
Main Authors: Georgakopoulos, A, Haslegrave, J
Format: Journal article
Language:English
Published: Institute of Mathematical Statistics 2021