Abstract
LetM1 andM2 be matroids onS,B be theirk-element common independent set, andw a weight function onS. Given two functionsb ≥ 0 andc ≥ 0 onS, the Inverse Matroid Intersection Problem (IMIP) is to determine a modified weight functionw′ such that (a)B becomes a maximum weight common independent set of cardinalityk underw′, (b)c¦w′ — w¦ is minimum, and (c)¦w′ — w ≤ b. Many Inverse Combinatorial Optimization Problems can be considered as the special cases of the IMIP.
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