Show that if (S, I) is a matroid, then (S, I) is a matroid, where I =
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Show that if (S, I) is a matroid, then (S, I′) is a matroid, where I′ = {A′ . S − A′ contains some maximal A ∈ I} .
That is, the maximal independent sets of (S, I′) are just the complements of the maximal independent sets of (S, I).
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This exercise defines what is commonly known as the dual of a matroid and it asks to prove that the ...View the full answer
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Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
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