Bellman-Ford Algorithm
Implement the Bellman-Ford algorithm to compute shortest distances from a source in a directed weighted graph with up to 100 vertices and negative edges.
A* Pathfinding Heuristic
Implement A* search on a 2D grid to find the shortest path length between two cells.
Articulation Points
Implement a function that returns the articulation points of an undirected graph.
Bridges in Graph
Implement a function that returns all bridges in an undirected graph.
Hamiltonian Path Check
Implement a function that checks whether an undirected graph has a Hamiltonian path using DFS and backtracking.
Bipartite Graph Check
Implement a function to check if an undirected graph is bipartite using graph coloring.
Graph Coloring
Given an undirected graph, determine if it can be colored with two colors such that adjacent vertices have different colors.
Course Schedule Can Finish
Given numCourses and prerequisites, return whether all courses can be finished without cyclic dependencies.
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).
All Paths from Source to Target
Given a directed acyclic graph, return all paths from node 0 to the last node.
Network Delay Time
Given a directed weighted graph and a starting node, find the minimum time for a signal to reach all nodes, or -1 if unreachable.
Cheapest Flights Within K Stops
Implement a function to compute the cheapest flight price from source to destination with at most K stops in a directed weighted graph.
Prim's Minimum Spanning Tree
Given a connected undirected weighted graph, compute the total weight of its minimum spanning tree using Prim's algorithm.
Kruskal MST
Implement Kruskal's algorithm to compute the total weight of a minimum spanning tree in a connected undirected graph.
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.
Strongly Connected Components (Kosaraju's Algorithm)
Implement a function to find strongly connected components in a directed graph using Kosaraju's algorithm.
Surrounded Regions
Given an M×N grid of 'X' and 'O', capture all regions of 'O' that are completely surrounded by 'X'.
Course Schedule Ordering
Determine a valid sequence to complete all courses respecting prerequisite constraints.
Minimum Height Trees
Given an undirected tree, find all root nodes that minimize the height of the tree.
Open the Lock BFS
Implement a BFS solution to find the minimum number of turns needed to open a 4-wheel lock, avoiding a set of deadends.
Minimum Genetic Mutation
Implement a function to compute the minimum number of single-character mutations needed to transform one gene string into another, using a given bank of valid mutations.
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 1–24 of 28 challenges · medium · Graphs & Graph Algorithms
Graphs & Graph Algorithms — Python coding challenges
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