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Results tagged with random-graphs
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user 353
The study of probability distributions over graphs. For example, the Erdős–Rényi model where each edge occurs independently with equal probability.
4
votes
expected length of a largest cycle in regular graph
Let $C_n$ denote the (random) size of the maximum cycle in a (uniform) simple random 2-regular graph on $n$ (labeled) vertices; $\langle C_n\rangle$ will denote its expectation value.
No theorems bel …
- 13.6k
1
vote
Accepted
PR[$\lambda_2 > x$] in $G_{np}$ model
Provided $pN$ is large in comparison to $N^{2/3}$ it looks like this paper by László Erdős, Antti Knowles, Horng-Tzer Yau, and Jun Yin has what you need. Here's the abstract:
We consider the ense …
- 13.6k
6
votes
Random bipartite graphs
I was interested in connectedness thresholds for random bipartite graphs a while back and have a few scanned journal articles that you might find helpful. I'll leave up the links until I am threatene …
- 13.6k
9
votes
Accepted
Growing random trees on a lattice $\rightarrow$ Voronoi diagrams
Update:
I think your model for growth has been studied before and goes by the name of the Eden growth model (See section 4 of the (linked) original paper by Murray Eden). It seems what is usually stu …
- 13.6k