<｜begin▁of▁sentence｜>### Instruction:
Given a graph with edge set [(0, 1), (1, 2), (2, 3)], how can you implement a custom edge drawing routine using the AbstractEdgeDrawer class in igraph and save the rendered graph to a PNG file?
### Response:
import igraph as ig
import cairo

# Create a graph
g = ig.Graph(edges=[(0, 1), (1, 2), (2, 3)])

# Define the size of the image
width, height = 400, 400

# Create a Cairo Image Surface to draw on
surface = cairo.ImageSurface(cairo.FORMAT_ARGB32, width, height)
ctx = cairo.Context(surface)

# Choose a layout for the graph
layout = g.layout('auto')

# Create a custom edge drawer class
class MyEdgeDrawer(ig.drawing.cairo.edge.AbstractCairoEdgeDrawer):
    def draw_directed_edge(self, edge, src_vertex, dest_vertex):
        # Implement custom drawing here
class MyGraphPlot(ig.Plot):
    def __init__(self, *args, **kwargs):
        super(MyGraphPlot, self).__init__(*args, **kwargs)
        self.edge_drawer_factory = MyEdgeDrawer

# Set up the plot with the specified background color and size
plot = MyGraphPlot(surface, bbox=(width, height), background="white")

# Add the graph to the plot with the chosen layout
plot.add(g, layout=layout)

# Save the plot to a file
plot.redraw()
surface.write_to_png("custom_edge_graph.png")
<|EOT|>
