Live Quiz Arena
🎁 1 Free Round Daily
⚡ Enter ArenaQuestion
← Logic & PuzzlesIf 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.
🏆 Up to £1,000 monthly prize pool
Ready for the live challenge? Join the next global round now.
*Terms apply. Skill-based competition.
Related Questions
Browse Logic & Puzzles →- If a knowledge base contains the predicate (∀x)(Bird(x) → Flies(x)), which outcome predictably follows when applying universal instantiation and modus ponens to the assertion Bird(Tweety)?
- A search algorithm must locate a student record within a database of 10,000 entries. Which algorithm provides the MOST efficient time complexity in the worst-case scenario?
- If a computational geometer incrementally constructs a convex hull from a point set using Graham's scan, which outcome occurs when the current point creates a non-left turn?
- A radio transmitter's modulation matrix has repeated eigenvalues near zero. Which effect results when the matrix is used to process signals?
- A network engineer attempts to prove the uniqueness of a shortest path algorithm by assuming a second, distinct shortest path exists. Which consequence follows?
- An iterative algorithm searches a sorted array. Which technique formally verifies that the loop maintains the array's sorted order and the search range narrows?
