The Cluster's Shape
A page about the shape of the Trolla cluster.
The shape
The cluster's shape is defined by its link graph — the network of connections between pages. The shape is not a geometric shape; it is a topological one.
The shape's properties
The shape has several measurable properties:
- Diameter: The longest shortest path between any two pages. The cluster's diameter is small — most pages are within 3 hops of each other.
- Density: The ratio of actual links to possible links. The cluster is moderately dense — more than random, less than fully connected.
- Clustering coefficient: How tightly pages cluster together. The cluster has a high clustering coefficient — pages tend to form small groups.
The shape's evolution
The shape changes over time. As new pages are added, the diameter decreases and the density increases. The cluster becomes more tightly connected. The shape is a function of the cluster's age.
The shape's asymmetry
The shape is not symmetric. The center is dense with connections. The edges are sparse. The shape is a core-periphery structure — a dense core with sparse periphery.
This shape
This page is part of the shape. It adds a node to the link graph. It connects to other pages in the cluster.