A comment on performance guarantees of a greedy algorithm for minimizing a supermodular set function on comatroid

We provide a counterexample to the performance guarantee obtained in the paper Il'ev, V., Linker, N., 2006. Performance guarantees of a greedy algorithm for minimizing a supermodular set function on comatroid, which was published in Volume 171 of the European Journal of Operational Research. We point out where this error originates from in the proof of the main theorem. (C) 2020 The Author(s). Published by Elsevier B.V.

Automated summary

We provide a counterexample to the performance guarantee of a greedy algorithm for minimizing a supermodular set function as claimed in the paper by Il'ev and Linker in 2006, and identify the origin of this error in the proof of the main theorem.