Add Bipartite Graph Check algorithm #576
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Checks if a graph can be 2-colored (bipartite). A bipartite graph has vertices divisible into two independent sets. Features: - IsBipartite() - BFS-based check - IsBipartiteDfs() - DFS-based check - GetPartitions() - Returns the two sets - O(V + E) time complexity - Works with disconnected graphs Tests (20 test cases): - Empty, single, and two-vertex graphs - Triangles (odd cycles) and squares (even cycles) - Complete bipartite graphs K(m,n) - Disconnected components - Star graphs and pentagons - Large even/odd cycles - Edge cases and validation Use Cases: - Job assignment problems - Network flow modeling - Conflict detection - Graph coloring problems Files: - Algorithms/Graph/BipartiteGraph.cs (234 lines) - Algorithms.Tests/Graph/BipartiteGraphTests.cs (407 lines)
Codecov Report❌ Patch coverage is
Additional details and impacted files@@ Coverage Diff @@
## master #576 +/- ##
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+ Coverage 96.93% 96.95% +0.01%
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Files 298 299 +1
Lines 12402 12527 +125
Branches 1804 1832 +28
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+ Hits 12022 12145 +123
- Misses 240 242 +2
Partials 140 140 ☔ View full report in Codecov by Sentry. 🚀 New features to boost your workflow:
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Replace if-else blocks with ternary operators for cleaner code
Add validation tests for GetPartitions and IsBipartiteDfs methods
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@siriak Please check this PR as well, Thanks. |
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Summary
Adds Bipartite Graph Check algorithm to determine if a graph can be 2-colored.
Algorithm
A bipartite graph can be divided into two independent sets where no two vertices within the same set are adjacent. Uses BFS/DFS coloring approach.
Features
IsBipartite()- BFS-based checkIsBipartiteDfs()- DFS-based checkGetPartitions()- Returns the two setsTests (20 cases)
Use Cases
Files
Algorithms/Graph/BipartiteGraph.cs(233 lines)Algorithms.Tests/Graph/BipartiteGraphTests.cs(425 lines)Contribution by Gittensor, learn more at https://gittensor.io/