Minimum Cut
Given an undirected graph in adjacency-list form, return the size of the minimum edge cut that disconnects the graph.
Alien Dictionary Order
Given a sorted list of words in an alien language, derive the order of its unique letters.
Graph Valid Tree
Determine if n nodes and an edge list form a valid tree (connected and acyclic).
Find center of star graph
Write a function that finds the center node of a star graph from its list of edges in O(1) time.
Topological Sort via DFS
Return a deterministic topological ordering of nodes in a directed acyclic graph using DFS, or an empty list if a cycle exists.
Clique Detection
Given an undirected graph and a list of vertices, check if every pair of distinct vertices in the list is connected by an edge.
Possible bipartition
Given N people and a list of mutual dislikes, check if they can be divided into two groups with no dislike inside a group.
Graph Coloring Backtrack
Given an adjacency list and a number of colors, decide if the graph can be colored so no adjacent vertices share a color.
Showing 1–8 of 8 challenges · Graphs & Graph Algorithms
Graphs & Graph Algorithms — Python coding challenges
What you will find here
This page lists graphs & graph algorithms challenges — real Python problems you solve in the browser IDE with instant test feedback. Each challenge includes a clear brief, starter code, and automated checks.
Challenges vs tutorials and quizzes
Challenges test what you can build under constraints. For guided teaching, use our Python tutorials. For quick checks, try quizzes or copy snippets from code samples.