<｜begin▁of▁sentence｜>### Instruction:
As a network visualization expert, I can help you with that. Let's consider a scenario where you're a physiologist studying the connectivity of neurons in a linear sequence within a section of the brain. To better comprehend the neural network structure, you need to initialize an undirected graph, add 10 neurons as vertices, and connect them with edges to represent their synaptic connections. Visualizing this graph will provide valuable insights into the neural pathway organization.
### Response:
from igraph import Graph

# Initialize a new undirected Graph object with 10 vertices.
graph = Graph.Graph.__new__(Graph, directed=False)
graph.add_vertices(10)

# Define and add edges to the Graph
edges = [(0, 1), (1, 2), (2, 3), (3, 4), (4, 5), (5, 6), (6, 7), (7, 8), (8, 9)]
graph.add_edges(edges)

# Plot the graph
ig.plot(graph)
<|EOT|>
