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Results tagged with random-graphs
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user 6094
The study of probability distributions over graphs. For example, the Erdős–Rényi model where each edge occurs independently with equal probability.
2
votes
Accepted
between "giant-component" and "fully connected"
This may not satisfy your needs, but this recent (Fall 2012) paper, or its references might help:
"Lack of Hyperbolicity in Asymptotic Erdös-Renyi Sparse Random Graphs,"
by Onuttom Narayan, Iraj Sani …
- 151k
3
votes
Accepted
small hyperworlds ?
Perhaps this 2011 talk at the Workshop on Random Graphs is at least tangentially related
to your interests:
"Beyond random graphs: Random simplicial
complexes. Applications to sensor networks"
…
- 151k
13
votes
Area Enclosed by the Convex Hull of a Set of Random Points
Let $A$ be the expected area. Then:
$$\lim_{n \rightarrow \infty} \frac{n}{\ln n} (1 - A) = \frac{8}{3} \;.$$
This can be found in many places, e.g., this MathWorld article.
[Updated with comparison …
- 151k
5
votes
Tracking automorphism groups of graph processes
I computed the number of automorphisms of the graph as edges are added randomly
(with help from the Mathematica StackExchange community).
Below is one instance for $n=6$, with $0$ on the horizontal ax …
- 151k
2
votes
References on the structure of bond percolation on the (finite) 2D-grid in the sub-critical ...
Perhaps this is a place to start, from which to search forward in time:
Grimmett, Geoffrey. Percolation. Springer, Berlin, Heidelberg, 1999.
(Springer link.)
(Image f …
- 151k
4
votes
Growing random trees on a lattice $\rightarrow$ Voronoi diagrams
Let me just quickly post one additional figure, a nod in the direction suggested by jc and Edmund.
The left image shows the trees for two sites. The right image is a 3D depiction of the same
trees, b …
- 151k
6
votes
Open Problems in Random Graphs
Check out the Open Problem Garden,
which lists this problem:
Due to MO user @BorisBukh.
- 151k