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• W2775257415 abstract "We study the asymptotic shape of random unlabelled graphs subject to certain subcriticality conditions. The graphs are sampled with probability proportional to a product of Boltzmann weights assigned to their $2$-connected components. As their number of vertices tends to infinity, we show that they admit the Brownian tree as Gromov--Hausdorff--Prokhorov scaling limit, and converge in a strengthened Benjamini--Schramm sense toward an infinite random graph. We also consider a family of random graphs that are allowed to be disconnected. Here a giant connected component emerges and the small fragments converge without any rescaling towards a finite random limit graph." @default.
• W2775257415 created "2017-12-22" @default.
• W2775257415 creator A5080408565 @default.
• W2775257415 date "2017-12-04" @default.
• W2775257415 modified "2023-09-27" @default.
• W2775257415 title "Asymptotic properties of random unlabelled block-weighted graphs" @default.
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• W2775257415 hasPublicationYear "2017" @default.
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