<｜begin▁of▁sentence｜>### Instruction:
Given a layout of a graph's vertices, how can you calculate the bounding box that encapsulates all vertices with a specified border, and retrieve the coordinates of the lower left and upper right corner of this bounding box?
### Response:
from igraph import Graph, Layout

# Assume we have predefined vertex positions in 'layout'
layout = Layout([(0, 1), (2, 3), (4, 5), (6, 7)])

# Calculate the bounding box with a border of 1
bbox = layout.bounding_box(border=1)

# Getting the coordinates of the bounding box
lower_left = bbox.lower_left
upper_right = bbox.upper_right

print('Lower Left Corner:', lower_left)
print('Upper Right Corner:', upper_right)
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