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The study of probability distributions over graphs. For example, the Erdős–Rényi model where each edge occurs independently with equal probability.

3 votes
0 answers
250 views

Distribution of the k-core of a random graph

A k-core of a graph is the maximal subgraph with minimal degree k. For example, the 2-core would emerge by subsequently deleting degree-1 vertices of a graph. I've seen a lot of work on existence of …
Joseph Doob's user avatar
11 votes
1 answer
377 views

Question on a paper by Benjamini/Kozma/Wormald about a “well known fact”

In "The mixing time of the giant component of a random graph" by the aforementioned authors, in the last proof on page 19 it says something along the lines of "It is well known and easy to verify tha …
Joseph Doob's user avatar