giles
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BFS-based 2-coloring of an undirected graph:
edges (undirected):
0-1 0-3 1-2 1-4 2-5 3-4 3-6 5-6
Partition: {0, 2, 4, 6} vs {1, 3, 5} (no odd cycles)
Returns count of color-0 vertices (4) on success, -1 on odd-cycle
detection.
Tests Queue-based BFS with a source-loop wrapper for disconnected
graphs, `1 - color.(u)` toggle, color-equality conflict check
on already-colored neighbors.
164 baseline programs total.