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The Roman domination problem is considered. An improvement of two existing  Integer Linear Programing (ILP) formulations is proposed and a comparison  between the old and new ones is given. Correctness proofs show that improved  linear programing formulations are equivalent to the existing ones regardless  of the variables relaxation and usage of lesser number of constraints.  [Projekat Ministarstva nauke Republike Srbije, br. TR36006]

Improved mixed integer linear programing formulations for roman domination problem