Matching and Allocation Problems (VCE SSCE General Mathematics): Quizzes

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Matching and Allocation Problems
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What defines a bipartite graph?

Vertices in 2 groups, edges join groups

In a bipartite graph, which connections are never allowed?

Vertices within the same group

What is an allocation problem?

Matching items from one group to another

What is a forced assignment in allocation?

A vertex with only one edge connection

What defines a complete bipartite graph?

Every vertex connects to all in other

What is Step 1 of the Hungarian algorithm?

Subtract smallest row value from row

In Step 2, when do you jump to Step 6?

Lines covering zeros = allocations

What happens in Step 3 column reduction?

Subtract smallest from column w/o zero

In Step 5a, what do you do with smallest uncovered value?

Add to 2-line cells, subtract uncovered

Which matrix calculates the final minimum cost?

The original cost matrix

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