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arXiv · 2108.07051

Pendant appearances and components in random graphs from structured classes

Colin McDiarmid
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Abstract

We consider random graphs sampled uniformly from a structured class of graphs, such as the class of graphs embeddable in a given surface. We sharpen and extend earlier results on pendant appearances, concerning for example numbers of leaves; and obtain results on the asymptotic distribution of components other than the giant component, under quite general conditions.

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Colin McDiarmid. 2024-05-04. Pendant appearances and components in random graphs from structured classes. https://arxiv.org/abs/2108.07051

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