Course Solutions Uncategorized (Solved) : Consider Matroid M Ground Set 119864 0 1 13 Independent Sets 0 119894 119895 119894 119895 Q35108588 . . . .

(Solved) : Consider Matroid M Ground Set 119864 0 1 13 Independent Sets 0 119894 119895 119894 119895 Q35108588 . . . .

 

Consider the matroid M with ground set ={0,1,…,13}and independent sets {{0, , }∣ , ∈[13], < } and all possiblesubsets (you can think of these 3-element subsets as differentbases). Suppose that i has weight i except for 12, which hasweight 1. What is the maximal 3 element set in M obtained by thegreedy algorithm?
What is the final set you obtained:

Did it find the independent 3-element set in M ofmaximal weight?

A. True
B. False

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