# make_newman_watts_strogatz

Defined in <stapl/containers/graph/generators/watts_strogatz.hpp>

template<typename GraphView>
GraphView make_newman_watts_strogatz(size_t n,size_t k,double p,bool bidirectional)


## Summary

Generate a Newman-Watts-Strogatz small-world graph 1.

First create a ring over n nodes. Then each node in the ring is connected with its k nearest neighbors (k-1 neighbors if k is odd). Then shortcuts are created by adding new edges as follows: for each edge u-v in the underlying "n-ring with k nearest neighbors" with probability p add a new edge u-w with randomly-chosen existing node w. In contrast with Watts-Strogatz, no edges are removed.

The returned view owns its underlying container.

#### Parameters

• n: The number of nodes in the graph
• k: Each node is connected to k nearest neighbors in ring topology
• p: The probability of rewiring each edge
• bidirectional: True for adding back-edges, False for forward only.

#### Returns

A view over the generated graph.

#### Example

  using view_type = stapl::graph_view<stapl::multidigraph<int>>;

auto v = stapl::generators::make_newman_watts_strogatz<view_type>(
128, 4, 0.2, true
);


1 M. E. J. Newman and D. J. Watts, Renormalization group analysis of the small-world network model, Physics Letters A, 263, 341, 1999. http://dx.doi.org/10.1016/S0375-9601(99)00757-400757-4)