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        "author": "Benjamin F. Maier",
        "author_email": "bfmaier@physik.hu-berlin.de",
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        "description": "smallworld\n==========\n\nGenerate and analyze small-world networks according to the revised\nWatts-Strogatz model where the randomization at *\u03b2* = 1 is truly equal to the Erd\u0151s-R\u00e9nyi network model.\n\nIn the Watts-Strogatz model each node rewires its *k*/2\nrightmost edges with probality *\u03b2*. This means that each node has halways\nminimum degree *k*/2. Also, at *\u03b2* = 1, each edge has been rewired.\nHence the probability of it existing is smaller than *k*/(*N*-1), contrary to the ER model.\n\nIn the adjusted model, each pair of nodes is connected with a certain\nconnection probability. If the lattice distance between the potentially\nconnected nodes is d(i,j) <= *k*/2 then they are connected with\nshort-range probability ``p_S = k / (k + \u03b2 (N-1-k))``, otherwise they're\nconnected with long-range probability ``p_L = \u03b2 * p_S``.\n\nInstall\n-------\n\n::\n\n    pip install smallworld\n\nBeware: ``smallworld`` only works with Python 3!\n\nExample\n-------\n\nIn the following example you can see how to generate and draw according\nto the model described above.\n\n.. code:: python\n\n    from smallworld.draw import draw_network\n    from smallworld import get_smallworld_graph\n\n    import matplotlib.pyplot as pl\n\n    # define network parameters\n    N = 21\n    k_over_2 = 2\n    betas = [0, 0.025, 1.0]\n    labels = [ r'$\\beta=0$', r'$\\beta=0.025$', r'$\\beta=1$']\n\n    focal_node = 0\n\n    fig, ax = pl.subplots(1,3,figsize=(9,3))\n\n\n    # scan beta values\n    for ib, beta in enumerate(betas):\n\n        # generate small-world graphs and draw\n        G = get_smallworld_graph(N, k_over_2, beta)\n        draw_network(G,k_over_2,focal_node=focal_node,ax=ax[ib])\n\n        ax[ib].set_title(labels[ib],fontsize=11)\n\n    # show\n    pl.subplots_adjust(wspace=0.3)\n    pl.show()\n\n.. figure:: https://github.com/benmaier/smallworld/raw/master/sandbox/small_worlds.png\n    :alt: visualization example\n\n    visualization example",
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