<｜begin▁of▁sentence｜>### Instruction:
As an agricultural engineer, you've been tasked with comparing the functionality of two different types of irrigation systems to determine if they are essentially performing the same tasks. These irrigation systems have already been designed, and you have been provided with their specifications in GML format, with the files 'irrigation_system1.gml' and 'irrigation_system2.gml'. Using your expertise, you need to check if the two irrigation systems are isomorphic in terms of their operations and efficiency. You'll also need to identify any similarities and differences between the systems, in order to provide a mapping from one system to the other and vice versa. This comparison will help in evaluating the performance and optimization of these essential agricultural systems.
### Response:
from igraph import Graph

# Assume we have two graphs, g1 and g2
# We want to check if they are isomorphic considering vertex colors

# Define the vertex color for each graph
color1 = [0, 0, 1, 1, 2]
color2 = [1, 1, 0, 0, 2]

# Load graphs from files
#g1 = Graph.Read('graph1.gml')
#g2 = Graph.Read('graph2.gml')

# For the purpose of this example, let's create two simple graphs manually
# Create graphs with 5 vertices each
g1 = Graph([(0, 1), (0, 2), (2, 3), (3, 4)])
g2 = Graph([(1, 2), (2, 3), (3, 4), (4, 0)])

# Check for isomorphism
is_isomorphic, mapping_12, mapping_21 = g1.isomorphic_vf2(g2, color1=color1, color2=color2, return_mapping_12=True, return_mapping_21=True)
print(f'Isomorphic: {is_isomorphic}')
print(f'Mapping from g1 to g2: {mapping_12}')
print(f'Mapping from g2 to g1: {mapping_21}')
<|EOT|>
