topological sort
topological sort is one of the most repeated interview dimensions. Start with edge-safe fundamentals, then move into pattern-level trade-offs.
Interview Signal
Frequently tests problem modeling, edge handling, and verbal clarity.
Common Pitfall
Template-only answers break under follow-up questioning.
Practice Strategy
Practice in 3-5 problem rounds and always review complexity alternatives.
Recommended Progression
Foundation
Pattern Bridge
High-Pressure Round
Course Schedule
Determine if all courses can be completed by analyzing prerequisite dependencies using indegree tracking and topological…
Course Schedule II
Solve the 'Course Schedule II' problem using graph indegree and topological ordering, utilizing DFS or BFS to find the c…
Minimum Height Trees
Identify all roots of a tree that produce minimum height using graph indegree analysis and topological trimming.
Longest Increasing Path in a Matrix
Find the length of the longest increasing path in a matrix with given movement constraints using graph techniques.
Find Eventual Safe States
Solve the problem of finding eventual safe states in a directed graph using depth-first search and topological sorting.
Loud and Rich
Determine the quietest person richer than each individual using graph indegree analysis and topological ordering techniq…
Cat and Mouse
Determine the outcome of a two-player Cat and Mouse game on a graph using topological ordering and memoized dynamic prog…
Sort Items by Groups Respecting Dependencies
Sort items into groups while respecting dependencies using graph indegree tracking and topological ordering patterns eff…
Course Schedule IV
Determine if one course is a prerequisite of another using graph indegree tracking and topological ordering efficiently.
Strange Printer II
Solve Strange Printer II by building color dependencies from bounding rectangles and checking whether a topological orde…
Rank Transform of a Matrix
Compute a unique rank matrix using graph indegree with topological ordering, ensuring each element reflects its relative…
Cat and Mouse II
Cat and Mouse II requires determining if the mouse can reach food before being caught using graph and topological orderi…
Number of Restricted Paths From First to Last Node
Solve the problem of finding the number of restricted paths in a weighted undirected graph, leveraging graph algorithms …
Largest Color Value in a Directed Graph
Compute the maximum color frequency along any valid path in a directed graph using topological ordering and dynamic prog…
Count Ways to Build Rooms in an Ant Colony
Solve the problem of counting distinct ways to build rooms in an ant colony using dynamic programming and topological or…
Number of Ways to Arrive at Destination
Find the number of ways to travel from intersection 0 to n - 1 in the shortest time, using a graph-based approach.
Parallel Courses III
Solve Parallel Courses III by finding the minimum number of months to complete all courses using graph-based topological…
Find All Possible Recipes from Given Supplies
Determine all recipes you can prepare given initial supplies and ingredient dependencies, leveraging array scanning and …
Maximum Employees to Be Invited to a Meeting
Determine the maximum employees to invite based on favorite adjacency constraints using graph indegree and topological o…
All Ancestors of a Node in a Directed Acyclic Graph
Solve the All Ancestors of a Node in a Directed Acyclic Graph problem using graph traversal techniques like BFS, DFS, an…
Longest Path With Different Adjacent Characters
Find the longest path in a tree where adjacent nodes have different characters using graph DFS and topological reasoning…
Number of Increasing Paths in a Grid
Solve Number of Increasing Paths in a Grid by turning cell comparisons into a DAG and counting paths with topological DP…
Longest Cycle in a Graph
The problem asks to find the longest cycle in a directed graph with specific edge constraints.
Build a Matrix With Conditions
Solve the matrix-building problem by using graph indegree and topological sorting to satisfy given row and column constr…
Collect Coins in a Tree
The "Collect Coins in a Tree" problem requires traversing a tree to collect coins in the fewest steps while returning to…
Frequencies of Shortest Supersequences
Compute all unique shortest common supersequences of given words using graph indegree tracking and topological ordering …
Maximum Profit from Valid Topological Order in DAG
Solve the Maximum Profit from Valid Topological Order in DAG problem using graph indegree and topological sorting with d…
Network Recovery Pathways
Find the maximum recovery cost of valid paths in a directed acyclic graph where some nodes are offline.
Related Patterns
Graph indegree plus topological ordering
11 linked problems
Graph indegree plus topological ordering
10 linked problems
Graph indegree plus topological ordering
4 linked problems
Graph indegree plus topological ordering
1 linked problems
Array scanning plus hash lookup
1 linked problems
Graph indegree plus topological ordering
1 linked problems