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If a university course timetable can be represented as a bipartite graph, where courses and time slots are nodes, which outcome guarantees conflict-free scheduling?

A)Maximum flow saturates all edges
B)Chromatic number exceeds the degree
C)Graph contains odd-length cycles
D)Maximum matching saturates course nodes

💡 Explanation

If the timetable is bipartite, with courses on one side and time slots on the other, a maximum matching algorithm finds a one-to-one correspondence. Because maximum matching saturating course nodes means each course is assigned a unique time slot, therefore there are no conflicts, rather than chromatic number or cycle length determining schedule feasibility.

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