<｜begin▁of▁sentence｜>### Instruction:
Imagine you're assisting a group of elderly friends who have set out on a picturesque walk through their interconnected neighborhood of winding paths. The neighborhood can be envisioned as a series of homes connected by paths where each house is a 'node', and each direct path between two houses is an 'edge'. The friends started their journey from the house labeled 0 and aim to reach the house labeled 4, enjoying the scenic route without retracing their steps on any of the paths.

Their neighborhood is quite special – it's arranged so that all paths form a network with a limited number of direct connections from each house, ensuring that their stroll doesn't become too complicated. This layout resembles what we call a 'chordal graph' with a treewidth bound of 2, meaning each house is directly connected to no more than two other houses to maintain a simple and serene walk.

The specific connections between the houses are as follows: between house 0 and 1, house 1 and 2, house 2 and 3, house 3 and 4, house 0 and 4, and an additional path from house 1 to 3 for those who might need a shortcut.

Given this charming setting, the friends have asked for your assistance to determine which houses they will encounter on any of these direct and uncomplicated paths from house 0 to house 4 that won't take them through an area that’s too dense with intersecting paths. Can you help map out their journey, ensuring that the serene character of their stroll is preserved by not exceeding the given complexity of the neighborhood design?
### Response:
import networkx as nx

# create a chordal graph
G = nx.Graph([(0, 1), (1, 2), (2, 3), (3, 4), (0, 4), (1, 3)])
# find induced nodes from node 0 to node 4 with a treewidth bound
induced_nodes = nx.find_induced_nodes(G, 0, 4, treewidth_bound=2)

print(sorted(induced_nodes))
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