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turan_graph(n, r)

The Turan Graph is a complete multipartite graph on $n$ nodes with $r$ disjoint subsets. That is, edges connect each node to every node not in its subset.

Given $n$ and $r$, we create a complete multipartite graph with $r-(n \mod r)$ partitions of size $n/r$, rounded down, and $n \mod r$ partitions of size $n/r+1$, rounded down.

Notes

Must satisfy $1 <= r <= n$. The graph has $(r-1)(n^2)/(2r)$ edges, rounded down.

Parameters

n : int

The number of nodes.

r : int

The number of partitions. Must be less than or equal to n.

Return the Turan Graph

Examples

See :

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


GitHub : /networkx/generators/classic.py#638
type: <class 'function'>
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