dynamicalab.drawing.plot_spectrum

dynamicalab.drawing.plot_spectrum(ax, matrix_generator, n_networks=20, nbins=100, vals=[], axvline_color='#ef8a62', bar_color='#67a9cf', normed=True, xlabel='$\\lambda$', ylabel='$\\rho(\\lambda)$', label_fontsize=13)

Plot an histogram of the density spectrum of a family of matrices.

Parameters

ax : Matplotlib Axes object

Draw the spectrum in the specified Matplotlib axes.

matrix_generator : function

Random generator of the random matrices. Check the example to convert networks to matrices.

n_networks : int : (default=20)

Number of networks to sample the statistics

n_bins : int : (defualt=100)

Number of bins of the histogram.

vals : list : (default=[])

Draw a vertical line for each value in the list

axvline_color : str or list : (default=”#ef8a62”)

If a string, each vertical lines will be this color. If a list, it gives the color of each vertical line for elements of vals, and must be the same length as vals.

bar_color : str : (default=”#67a9cf”)

Fill color of the bars of the histogram.

normed : Bool : (default=True)

If True, the integral of the histogram is equal to one.

xlabel : str : (default= \(\lambda\) )

Label of the X axis.

ylabel : str :

Label of the Y axis.

label_fontsize : int : (default=13)

Fontsize of the labels

Example

import networkx as nx
import dynamicalab.drawing as draw
import matplotlib.pyplot as plt
import seaborn as sns
import numpy as np


def matrix_generator():
        G = nx.erdos_renyi_graph(20,0.5)
        return nx.to_numpy_matrix(G)


sns.set(style="ticks")
fig = plt.figure(figsize=(4,2))
ax = plt.gca()

draw.plot_spectrum(ax, matrix_generator, 
                        n_networks=1000, 
                        nbins=80,
                        vals=[20*0.5], 
                        normed=True,
                        label_fontsize=13)