<｜begin▁of▁sentence｜>### Instruction:
A researcher needs to visualize a graph generated from their experiment and would like to save the resulting image for use in their report. The graph has 10 nodes, randomly connected, and should be saved as a PNG file. How can they use 'graspologic.layouts.save_graph' to render their networkx graph to an image file, specifying the positions, colors, and various style attributes of the nodes and edges?
### Response:
import networkx as nx
from graspologic.layouts import NodePosition, save_graph

# Create a graph
g = nx.erdos_renyi_graph(n=10, p=0.5)

# Construct node positions and colors
positions = {node: NodePosition(x=10*random(), y=10*random()) for node in g.nodes()}
node_colors = {node: '#1f78b4' for node in g.nodes()}

# Save the graph to an image file
save_graph(
    output_path='graph.png', 
    graph=g, 
    positions=positions, 
    node_colors=node_colors, 
    vertex_line_width=0.01, 
    vertex_alpha=0.55, 
    edge_line_width=0.5, 
    edge_alpha=0.02, 
    figure_width=15.0, 
    figure_height=15.0, 
    light_background=True, 
    vertex_shape='o', 
    arrows=False, 
    dpi=100
)
<|EOT|>
