Add Articulation Points algorithm#574
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siriak merged 4 commits intoTheAlgorithms:masterfrom Nov 12, 2025
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Finds articulation points (cut vertices) in undirected graphs. An articulation point is a vertex whose removal increases connected components. Features: - Find all articulation points using DFS - Check if specific vertex is articulation point - Count total articulation points - O(V + E) time complexity - Works with any vertex type Tests (16 test cases): - Simple chains and triangles - Star graphs - Bridge graphs - Disconnected graphs - Complex graphs - Edge cases and validation Use Cases: - Network reliability analysis - Critical infrastructure identification - Social network analysis Files: - Algorithms/Graph/ArticulationPoints.cs (134 lines) - Algorithms.Tests/Graph/ArticulationPointsTests.cs (305 lines)
- Fix SA1202: Move private methods after public methods - Fix Codacy: Rename DFS to Dfs (PascalCase) - Fix Codacy: Reduce parameters from 8 to 4 using DfsState class - Fix Codacy: Add else comment for back edge case - Improve code organization and readability All build errors and Codacy issues resolved
Codecov Report✅ All modified and coverable lines are covered by tests. Additional details and impacted files@@ Coverage Diff @@
## master #574 +/- ##
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+ Coverage 96.91% 96.92% +0.01%
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Files 296 297 +1
Lines 12208 12287 +79
Branches 1770 1781 +11
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+ Hits 11831 11909 +78
Misses 239 239
- Partials 138 139 +1 ☔ View full report in Codecov by Sentry. 🚀 New features to boost your workflow:
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- Add class-level documentation - Add documentation for all properties - Improves code documentation and resolves Codacy issue
Add explicit else clause with comment explaining no action needed for parent edges
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@siriak Please check this PR. |
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Summary
Adds Articulation Points (cut vertices) algorithm to find critical vertices in undirected graphs.
Algorithm
An articulation point is a vertex whose removal increases the number of connected components. Uses DFS-based approach:
Features
Find()- Returns all articulation pointsIsArticulationPoint()- Checks specific vertexCount()- Counts total pointsTests (16 cases)
Use Cases
Files
Algorithms/Graph/ArticulationPoints.cs(133 lines)Algorithms.Tests/Graph/ArticulationPointsTests.cs(326 lines)Contribution by Gittensor, learn more at https://gittensor.io/