random_internet_as_graph#

random_internet_as_graph(n, seed=None)[source]#

Generates a random undirected graph resembling the Internet AS network

Parameters:
n: integer in [1000, 10000]

Number of graph nodes

seedinteger, random_state, or None (default)

Indicator of random number generation state. See Randomness.

Returns:
G: Networkx Graph object

A randomly generated undirected graph

Notes

This algorithm returns an undirected graph resembling the Internet Autonomous System (AS) network, it uses the approach by Elmokashfi et al. [1] and it grants the properties described in the related paper [1].

Each node models an autonomous system, with an attribute ‘type’ specifying its kind; tier-1 (T), mid-level (M), customer (C) or content-provider (CP). Each edge models an ADV communication link (hence, bidirectional) with attributes:

  • type: transit|peer, the kind of commercial agreement between nodes;

  • customer: <node id>, the identifier of the node acting as customer (‘none’ if type is peer).

References

[1] (1,2)

A. Elmokashfi, A. Kvalbein and C. Dovrolis, “On the Scalability of BGP: The Role of Topology Growth,” in IEEE Journal on Selected Areas in Communications, vol. 28, no. 8, pp. 1250-1261, October 2010.