# graphlib --- Functionality to operate with graph-like structures

> synopsis: Functionality to operate with graph-like structures Source code: Lib/graphlib.py import graphlib from graphlib import Provides functionality to topologically sort a graph of hashable nodes.

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- Updated: `2026-08-16T09:32:14.540917+00:00`
- Tags: `reference-seed`, `python`, `library`, `graphlib`, `functionality`, `operate`, `graph-like`, `structures`

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synopsis: Functionality to operate with graph-like structures

Source code: Lib/graphlib.py

import graphlib from graphlib import

Provides functionality to topologically sort a graph of hashable nodes.

A topological order is a linear ordering of the vertices in a graph such that for every directed edge u -&gt; v from vertex u to vertex v, vertex u comes before vertex v in the ordering. For instance, the vertices of the graph may represent tasks to be performed, and the edges may represent constraints that one task must be performed before another; in this example, a topological ordering is just a valid sequence for the tasks. A complete topological ordering is possible if and only if the graph has no directed cycles, that is, if it is a directed acyclic graph.

If the optional graph argument is provided it must be a dictionary representing a directed acyclic graph where the keys are nodes and the values are iterables of all predecessors of that node in the graph (the nodes that have edges that point to the value in the key). Additional nodes can be added to the graph using the ~TopologicalSorter.add method.

In the general case, the steps required to perform the sorting of a given graph are as follows

Create an instance of the TopologicalSorter with an optional initial graph. Add additional nodes to the graph. Call ~TopologicalSorter.prepare on the graph. While ~TopologicalSorter.is_active is True, iterate over the nodes returned by ~TopologicalSorter.get_ready and process them. Call ~TopologicalSorter.done on each node as it finishes processing.

In case just an immediate sorting of the nodes in the graph is required and no parallelism is involved, the convenience method TopologicalSorter.static_order can be used directly

The class is designed to easily support parallel processing of the nodes as they become ready. For instance

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