human
I wrote the below code

    if (not (seed is None)):
        random.seed(seed)
    if (kernel_root is None):
        import scipy.optimize as optimize
        def kernel_root(y, a, r):
            def my_function(b):
                return (kernel_integral(y, a, b) - r)
            return optimize.brentq(my_function, a, 1)
    graph = nx.Graph()
    graph.add_nodes_from(range(n))
    (i, j) = (1, 1)
    while (i < n):
        r = (- math.log((1 - random.random())))
        if (kernel_integral((i / n), (j / n), 1) <= r):
            (i, j) = ((i + 1), (i + 1))
        else:
            j = int(math.ceil((n * kernel_root((i / n), (j / n), r))))
            graph.add_edge((i - 1), (j - 1))
    return graph

What's a good function header?
assistant
#Here's a good function header.

def random_kernel_graph(n, kernel_integral, kernel_root=None, seed=None):