networkx.algorithms.simple_paths.is_simple_path¶

is_simple_path
(G, nodes)[source]¶ Returns True if and only if the given nodes form a simple path in
G
.A simple path in a graph is a nonempty sequence of nodes in which no node appears more than once in the sequence, and each adjacent pair of nodes in the sequence is adjacent in the graph.
Parameters: nodes (list) – A list of one or more nodes in the graph G
.Returns: Whether the given list of nodes represents a simple path in G
.Return type: bool Notes
A list of zero nodes is not a path and a list of one node is a path. Here’s an explanation why.
This function operates on node paths. One could also consider edge paths. There is a bijection between node paths and edge paths.
The length of a path is the number of edges in the path, so a list of nodes of length n corresponds to a path of length n  1. Thus the smallest edge path would be a list of zero edges, the empty path. This corresponds to a list of one node.
To convert between a node path and an edge path, you can use code like the following:
>>> from networkx.utils import pairwise >>> nodes = [0, 1, 2, 3] >>> edges = list(pairwise(nodes)) >>> edges [(0, 1), (1, 2), (2, 3)] >>> nodes = [edges[0][0]] + [v for u, v in edges] >>> nodes [0, 1, 2, 3]
Examples
>>> G = nx.cycle_graph(4) >>> nx.is_simple_path(G, [2, 3, 0]) True >>> nx.is_simple_path(G, [0, 2]) False