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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.

1 vote
1 answer
122 views

Random graph uniformly sample from the special graphs

We know two basic random graph models:$G(n,p)$ and $G(n,m)$. $G(n,m)$ consists of all graphs with $n$ vertices and $m$ edges, in which the graphs have the same probability. We know that $G(n,p)$ and $ …
Yuhang Bai's user avatar
1 vote
0 answers
130 views

Random graphs constructed by many large matchings

Let $G_{n,d}$ be $d$-regular random graph. We know that for $d \geq 3$, $G \in G_{n,d}$ a.a.s. has a $1$-factorisation when $n$ is even. So, the resulting graph that obtained from randomly choosing $d …
Yuhang Bai's user avatar