Topological Sort Calculator
Find a valid ordering of tasks in a directed acyclic graph using topological sorting. This educational calculator shows the result, explains the rule, and gives step-by-step reasoning.
Calculator
What this calculator teaches
Find a valid ordering of tasks in a directed acyclic graph using topological sorting.
Graph theory and algorithm mathematics are core parts of discrete math and computer science. They help explain networks, dependency graphs, search, optimization, data structures, and route planning.
Formula & Symbols
| Concept | Formula or rule |
|---|---|
| Topological order | For every edge u ā v, u appears before v |
| Valid only for | Directed acyclic graphs (DAGs) |
Worked Example
- A must appear before B and C, and both B and C must appear before D.
- Click Calculate to see the result and the algorithm steps.
- Change one edge, node, or weight and compare how the output changes.
When to use it
Common mistakes
Use arrows like A>B when direction matters. Use A-B when the edge should work both ways.
Weighted algorithms need entries such as A-B:5. If no weight is supplied, the calculator treats the edge weight as 1.
Some graph problems grow quickly. Hamiltonian path and similar searches are meant for small educational graphs.
FAQ
Related calculators
Use related discrete math and algorithm calculators to compare graph representations, paths, sets, and recurrence behavior.
Formula Explorer connections
Interpretation: This relationship counts discrete structures, analyzes logic and sets, or describes algorithmic growth. Assumption: Define the sample space, recurrence, logical variables and counting constraints precisely. Avoid double counting and distinguish worst, average and best cases.