Add Bridges algorithm #575
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Finds bridges (cut edges) in undirected graphs. A bridge is an edge whose removal increases connected components. Features: - Find all bridges using DFS - Check if specific edge is a bridge - Count total bridges - O(V + E) time complexity - Works with any vertex type Tests (17 test cases): - Simple chains and triangles - Two components connected by bridge - Star graphs - Disconnected graphs - Complex graphs with cycles - Edge cases and validation Use Cases: - Network reliability analysis - Critical connection identification - Infrastructure vulnerability assessment Files: - Algorithms/Graph/Bridges.cs (177 lines) - Algorithms.Tests/Graph/BridgesTests.cs (326 lines)
Codecov Report✅ All modified and coverable lines are covered by tests. Additional details and impacted files@@ Coverage Diff @@
## master #575 +/- ##
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+ Coverage 96.95% 96.96% +0.01%
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Files 299 300 +1
Lines 12527 12598 +71
Branches 1832 1842 +10
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+ Hits 12145 12216 +71
Misses 242 242
Partials 140 140 ☔ View full report in Codecov by Sentry. 🚀 New features to boost your workflow:
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@siriak Please check this PR when you have some time, Thanks. |
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Summary
Adds Bridges (cut edges) algorithm to find critical edges in undirected graphs.
Algorithm
A bridge is an edge whose removal increases the number of connected components. Uses DFS-based approach similar to Tarjan's algorithm.
Features
Find()- Returns all bridgesIsBridge()- Checks specific edgeCount()- Counts total bridgesTests (17 cases)
Use Cases
Files
Algorithms/Graph/Bridges.cs(169 lines)Algorithms.Tests/Graph/BridgesTests.cs(346 lines)Contribution by Gittensor, learn more at https://gittensor.io/