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3 cards from this section. Quick, good the night before a test.
Define a bipartite graph.
Think about how the vertices are grouped.
What is a matching?
Consider how roles can be paired without overlap.
What defines a bipartite graph?
Consider how vertices are organized.
Is a maximal matching always a maximum matching?
Think about sizes and properties.
In a bipartite graph representing 5 jobs and 3 employees, demonstrate potential matchings and assess if a complete matching can be achieved.
Sketch the graph to visualize options.
Apply Hall's theorem to a bipartite graph with specific subsets and determine if a complete matching is feasible. Justify your conclusion.
Count neighbors carefully against subset sizes.
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