fnss.topologies.randmodels.waxman_2_topology¶
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waxman_2_topology
(n, alpha=0.4, beta=0.1, domain=(0, 0, 1, 1), distance_unit='Km', seed=None)[source]¶ Return a Waxman-2 random topology.
The Waxman-2 random topology models place n nodes uniformly at random in a rectangular domain. Two nodes u, v are connected with a link with probability
where the distance d is the Euclidean distance between the nodes u and v. and L is the maximum distance between all nodes in the graph.
Parameters: - n : int
Number of nodes
- alpha : float
Model parameter chosen in (0,1] (higher alpha increases link density)
- beta : float
Model parameter chosen in (0,1] (higher beta increases difference between density of short and long links)
- domain : tuple of numbers, optional
Domain size (xmin, ymin, xmax, ymax)
- seed : int, optional
Seed for random number generator (default=None).
Returns: - G : Topology
Notes
Each edge of G has the attribute length
References
[1] B. M. Waxman, Routing of multipoint connections. IEEE J. Select. Areas Commun. 6(9),(1988) 1617-1622.